Publications (77)
Discrete torsion orbifolds and D-branes II
Ben Craps, Matthias R. Gaberdiel
The consistency of the orbifold action on open strings between D-branes in orbifold theories with and without discrete torsion is analysed carefully. For the example of the C^3/Z_2…
Strings in compact cosmological spaces
Ben Craps, Oleg Evnin, Anatoly Konechny
We confront the problem of giving a fundamental definition to perturbative string theory in spacetimes with totally compact space (taken to be a torus for simplicity, though the na…
Unified theory of local integrals of motion
Ben Craps, Oleg Evnin, Dmitry Kovrizhin +1
Many-body localization (MBL) is understood theoretically through the existence of an extensive number of local integrals of motion (LIOMs). These conserved quantities are related t…
Global Fluctuation Spectra in Big Crunch/Big Bang String Vacua
Ben Craps, Burt A. Ovrut
We study Big Crunch/Big Bang cosmologies that correspond to exact world-sheet superconformal field theories of type II strings. The string theory spacetime contains a Big Crunch an…
Comments on BRST quantization of strings
Ben Craps, Kostas Skenderis
The BRST quantization of strings is revisited and the derivation of the path integral measure for scattering amplitudes is streamlined. Gauge invariances due to zero modes in the g…
Echoes of chaos from string theory black holes
Vijay Balasubramanian, Ben Craps, BartÅomiej Czech +1
The strongly coupled D1-D5 conformal field theory is a microscopic model of black holes which is expected to have chaotic dynamics. Here, we study the weak coupling limit of the th…
AdS (in)stability: an analytic approach
Ben Craps, Oleg Evnin
We briefly review the topic of AdS (in)stability, mainly focusing on a recently introduced analytic approach and its interplay with numerical results.
The cosmological singularity problem
Ben Craps
Despite impressive phenomenological successes, cosmological models are incomplete without an understanding of what happened at the big bang singularity. Depending on the model, one…
Ultraviolet asymptotics and singular dynamics of AdS perturbations
Ben Craps, Oleg Evnin, Joris Vanhoof
Important insights into the dynamics of spherically symmetric AdS-scalar field perturbations can be obtained by considering a simplified time-averaged theory accurately describing…
Time-periodicities in holographic CFTs
Ben Craps, Marine De Clerck, Oleg Evnin
Dynamics in AdS spacetimes is characterized by various time-periodicities. The most obvious of these is the time-periodic evolution of linearized fields, whose normal frequencies f…
Renormalization, averaging, conservation laws and AdS (in)stability
Ben Craps, Oleg Evnin, Joris Vanhoof
We continue our analytic investigations of non-linear spherically symmetric perturbations around the anti-de Sitter background in gravity-scalar field systems, and focus on conserv…
A relation between Krylov and Nielsen complexity
Ben Craps, Oleg Evnin, Gabriele Pascuzzi
Krylov complexity and Nielsen complexity are successful approaches to quantifying quantum evolution complexity that have been actively pursued without much contact between the two…
Quantum evolution across singularities
Ben Craps, Oleg Evnin
Attempts to consider evolution across space-time singularities often lead to quantum systems with time-dependent Hamiltonians developing an isolated singularity as a function of ti…
Cosmological perturbations in non-local higher-derivative gravity
Ben Craps, Tim De Jonckheere, Alexey S. Koshelev
We study cosmological perturbations in a non-local higher-derivative model of gravity introduced by Biswas, Mazumdar and Siegel. We extend previous work, which had focused on class…
Conformal flow on and weak field integrability in AdS
Piotr BizoÅ, Ben Craps, Oleg Evnin +3
We consider the conformally invariant cubic wave equation on the Einstein cylinder for small rotationally symmetric initial data. This simple equat…
String Propagation in the Presence of Cosmological Singularities
Ben Craps, David Kutasov, Govindan Rajesh
We study string propagation in a spacetime with positive cosmological constant, which includes a circle whose radius approaches a finite value as |t|\to\infty, and goes to zero at…
(Non-)Anomalous D-brane and O-plane couplings: the normal bundle
Ben Craps, Frederik Roose
The direct string computation of anomalous D-brane and orientifold plane couplings is extended to include the curvature of the normal bundle. The normalization of these terms is fi…
Energy returns in global AdS_4
Anxo Biasi, Ben Craps, Oleg Evnin
Recent studies of the weakly nonlinear dynamics of probe fields in global AdS (and of the nonrelativistic limit of AdS resulting in the Gross-Pitaevskii equation) have revealed…
Entanglement versus entwinement in symmetric product orbifolds
Vijay Balasubramanian, Ben Craps, Tim De Jonckheere +1
We study the entanglement entropy of gauged internal degrees of freedom in a two dimensional symmetric product orbifold CFT, whose configurations consist of strands sewn togeth…
NS fivebranes in type 0 string theory
Ben Craps, Frederik Roose
The massless degrees of freedom of type 0 NS5-branes are derived. A non-chiral, purely bosonic spectrum is found in both type 0A and 0B. This non-chirality is confirmed by a one-lo…
Free string evolution across plane wave singularities
Ben Craps, Frederik De Roo, Oleg Evnin
In these proceedings, we summarize our studies of free string propagation in (near-)singular scale-invariant plane wave geometries. We analyze the singular limit of the evolution f…
Slow scrambling in extremal BTZ and microstate geometries
Ben Craps, Marine De Clerck, Philip Hacker +2
Out-of-time-order correlators (OTOCs) that capture maximally chaotic properties of a black hole are determined by scattering processes near the horizon. This prompts the question t…
Area terms and entanglement entropy in the string theory
Ben Craps, Marius Gerbershagen, Maxim Pavlov +1
We study entanglement entropy in the low-energy effective field theory of two-dimensional string theory as well as in the singlet sector of the dual matrix quantum mechanics.…
Factorization of the Hilbert space of eternal black holes in general relativity
Vijay Balasubramanian, Ben Craps, Juan Hernandez +2
We generalize recent results in two-dimensional Jackiw-Teitelboim gravity to study factorization of the Hilbert space of eternal black holes in quantum gravity with a negative cosm…
Submerging islands through thermalization
Vijay Balasubramanian, Ben Craps, Mikhail Khramtsov +1
We illustrate scenarios in which Hawking radiation collected in finite regions of a reservoir provides temporary access to the interior of black holes through transient entanglemen…
Exact lowest-Landau-level solutions for vortex precession in Bose-Einstein condensates
Anxo Biasi, Piotr Bizon, Ben Craps +1
The Lowest Landau Level (LLL) equation emerges as an accurate approximation for a class of dynamical regimes of Bose-Einstein Condensates (BEC) in two-dimensional isotropic harmoni…
On the Quantum Resolution of Cosmological Singularities using AdS/CFT
Ben Craps, Thomas Hertog, Neil Turok
The AdS/CFT correspondence allows us to map a dynamical cosmology to a dual quantum field theory living on the boundary of spacetime. Specifically, we study a five-dimensional mode…
Monstrous branes
Ben Craps, Matthias R. Gaberdiel, Jeffrey A. Harvey
We study D-branes in the bosonic closed string theory whose automorphism group is the Bimonster group (the wreath product of the Monster simple group with Z_2). We give a complete…
Heavy-Heavy-Light-Light correlators in Liouville theory
Vijay Balasubramanian, Alice Bernamonti, Ben Craps +2
We compute four-point functions of two heavy and two "perturbatively heavy" operators in the semiclassical limit of Liouville theory on the sphere. We obtain these "Heavy-Heavy-Lig…
Comments on Cosmological Singularities in String Theory
Micha Berkooz, Ben Craps, David Kutasov +1
We compute string scattering amplitudes in an orbifold of Minkowski space by a boost, and show how certain divergences in the four point function are associated with graviton excha…
Big Bang Models in String Theory
Ben Craps
These proceedings are based on lectures delivered at the "RTN Winter School on Strings, Supergravity and Gauge Theories", CERN, January 16 - January 20, 2006. The school was mainly…
Phase-space localization at the lowest Landau level
Ben Craps, Marine De Clerck, Oleg Evnin +1
We consider bosons with weak contact interactions in a harmonic trap and focus on states at the lowest Landau level. Motivated by the known nontrivial phase-space topography of the…
A multitrace deformation of ABJM theory
Ben Craps, Thomas Hertog, Neil Turok
Motivated by the study of big crunch singularities in asymptotically spacetimes, we consider a marginal triple trace deformation of ABJM theory. The deformation corresponds…
Gravitational collapse and thermalization in the hard wall model
Ben Craps, Elias Kiritsis, Christopher Rosen +3
We study a simple example of holographic thermalization in a confining field theory: the homogeneous injection of energy in the hard wall model. Working in an amplitude expansion,…
Chern-Simons diffusion rate in a holographic Yang-Mills theory
Ben Craps, Carlos Hoyos, Piotr Surowka +1
Using holography, we compute the Chern-Simons diffusion rate of 4d gauge theories constructed by wrapping D4-branes on a circle. In the model with antiperiodic boundary conditions…
Anomalous D-brane and orientifold couplings from the boundary state
Ben Craps, Frederik Roose
We compute scattering amplitudes involving both R-R and NS-NS fields in the presence of a D-brane or orientifold plane. These provide direct evidence for the anomalous couplings in…
Anomalous couplings of non-BPS D-branes
Marco Billo', Ben Craps, Frederik Roose
Non-BPS type II D-branes couple to R-R potentials via an action that, upon tachyon condensation, gives rise to the Wess-Zumino action of BPS D-branes.
Renormalization group, secular term resummation and AdS (in)stability
Ben Craps, Oleg Evnin, Joris Vanhoof
We revisit the issues of non-linear AdS stability, its relation to growing (secular) terms in naive perturbation theory around the AdS background, and the need and possible strateg…
Explicit Connections Between Krylov and Nielsen Complexity
Ben Craps, Gabriele Pascuzzi, Juan F. Pedraza +2
We establish a direct correspondence between Krylov and Nielsen complexity by choosing the Krylov basis to be part of the elementary gate set of Nielsen geometry and selecting a Ni…
Energy level splitting for weakly interacting bosons in a harmonic trap
Ben Craps, Marine De Clerck, Oleg Evnin +1
We consider identical quantum bosons with weak contact interactions in a two-dimensional isotropic harmonic trap. When the interactions are turned off, the energy levels are equidi…
Adiabaticity and emergence of classical space-time in time-dependent matrix theories
Ben Craps, Oleg Evnin
We discuss the low-curvature regime of time-dependent matrix theories proposed to describe non-perturbative quantum gravity in asymptotically plane-wave space-times. The emergence…
Holographic complexity: braneworld gravity versus the Lloyd bound
Sergio E. Aguilar-Gutierrez, Ben Craps, Juan Hernandez +3
We explore the complexity equals volume proposal for planar black holes in anti-de Sitter (AdS) spacetime in 2+1 dimensions, with an end of the world (ETW) brane behind the horizon…
Quantum evolution across singularities: the case of geometrical resolutions
Ben Craps, Frederik De Roo, Oleg Evnin
We continue the study of time-dependent Hamiltonians with an isolated singularity in their time dependence, describing propagation on singular space-times. In previous work, two of…
Superluminal chaos after a quantum quench
Vijay Balasubramanian, Ben Craps, Marine De Clerck +1
Thermal states holographically dual to black holes in Einstein gravity display maximal Lyapunov growth as well as "butterfly effect cones". We study these effects in highly non-equ…
Counting microstates of out-of-equilibrium black hole fluctuations
Vijay Balasubramanian, Ben Craps, Juan Hernandez +2
We construct and count the microstates of out-of-equilibrium eternal AdS black holes in which a shell carrying an order one fraction of the black hole mass is emitted from the past…
Two infinite families of resonant solutions for the Gross-Pitaevskii equation
Anxo Biasi, Piotr Bizon, Ben Craps +1
We consider the two-dimensional Gross-Pitaevskii equation describing a Bose-Einstein condensate in an isotropic harmonic trap. In the small coupling regime, this equation is accura…
p-branes on the waves
Ben Craps, Frederik De Roo, Oleg Evnin +1
We present a large family of simple, explicit ten-dimensional supergravity solutions describing extended extremal supersymmetric Ramond-Ramond p-branes embedded into time-dependent…
D-branes and boundary states in closed string theories
Ben Craps
In this Ph.D. thesis, we study some aspects of strings and branes. We mainly focus on anomalous D-brane couplings and on non-supersymmetric branes. In Chapter 2, we illustrate thre…
D0-brane recoil revisited
Ben Craps, Oleg Evnin, Shin Nakamura
One-loop string scattering amplitudes computed using the standard D0-brane conformal field theory (CFT) suffer from infrared divergences associated with recoil. A systematic framew…
Holographic thermalization of mutual and tripartite information in 2d CFTs
Alice Bernamonti, Neil Copland, Ben Craps +1
We discuss the concepts of mutual and tripartite information by referring to simple intuitive examples, and describe their use as probes of thermalization in holographic models. We…
Low Tension Strings on a Cosmological Singularity
Ben Craps, Chethan Krishnan, Ayush Saurabh
It has recently been argued that the singularity of the Milne orbifold can be resolved in higher spin theories. In string theory scattering amplitudes, however, the Milne singulari…
Chaos in CFT dual to rotating BTZ
Ben Craps, Surbhi Khetrapal, Charles Rabideau
We compute out-of-time-order correlators (OTOCs) in two-dimensional holographic conformal field theories (CFTs) with different left- and right-moving temperatures. Depending on whe…
D-Brane Potentials from Multi-Trace Deformations in AdS/CFT
Alice Bernamonti, Ben Craps
It is known that certain AdS boundary conditions allow smooth initial data to evolve into a big crunch. To study this type of cosmological singularity, one can use the dual quantum…
Bounds on quantum evolution complexity via lattice cryptography
Ben Craps, Marine De Clerck, Oleg Evnin +2
We address the difference between integrable and chaotic motion in quantum theory as manifested by the complexity of the corresponding evolution operators. Complexity is understood…
Holographic Thermalization
Vijay Balasubramanian, Alice Bernamonti, Jan de Boer +7
Using the AdS/CFT correspondence, we probe the scale-dependence of thermalization in strongly coupled field theories following a quench, via calculations of two-point functions, Wi…
Light-like Big Bang singularities in string and matrix theories
Ben Craps, Oleg Evnin
Important open questions in cosmology require a better understanding of the Big Bang singularity. In string and matrix theories, light-like analogues of cosmological singularities…
BPS solutions of a D5-brane worldvolume in a D3-brane background from superalgebras
Ben Craps, Joaquim Gomis, David Mateos +1
The BPS method is used to find BPS solutions of the worldvolume theory of a D5-brane in the near horizon geometry of a D3-brane. The BPS bound is interpreted in terms of the `maxim…
Lyapunov growth in quantum spin chains
Ben Craps, Marine De Clerck, Djunes Janssens +2
The Ising spin chain with longitudinal and transverse magnetic fields is often used in studies of quantum chaos, displaying both chaotic and integrable regions in its parameter spa…
The Definitions of Special Geometry
Ben Craps, Frederik Roose, Walter Troost +1
The scalars in vector multiplets of N=2 supersymmetric theories in 4 dimensions exhibit `special Kaehler geometry', related to duality symmetries, due to their coupling to the vect…
Random matrix theory of integrability-to-chaos transition
Ben Craps, Marine De Clerck, Oleg Evnin +1
The statistics of gaps between quantum energy levels is a hallmark criterion in quantum chaos and quantum integrability studies. The relevant distributions corresponding to exactly…
Loop Corrected Tachyon Condensation
Ben Craps, Per Kraus, Finn Larsen
We study loop corrections in boundary string field theory (BSFT). After commenting on problems with quantizing the tree level BSFT as an ordinary field theory, we discuss the tree…
Effective Dynamics of the Matrix Big Bang
Ben Craps, Arvind Rajaraman, Savdeep Sethi
We study the leading quantum effects in the recently introduced Matrix Big Bang model. This amounts to a study of supersymmetric Yang-Mills theory compactified on the Milne orbifol…
Integrability and complexity in quantum spin chains
Ben Craps, Marine De Clerck, Oleg Evnin +1
There is a widespread perception that dynamical evolution of integrable systems should be simpler in a quantifiable sense than the evolution of generic systems, though demonstratin…
Can free strings propagate across plane wave singularities?
Ben Craps, Frederik De Roo, Oleg Evnin
We study free string propagation in families of plane wave geometries developing strong scale-invariant singularities in certain limits. We relate the singular limit of the evoluti…
Ramond-Ramond couplings of non-BPS D-branes
Marco Billo', Ben Craps, Frederik Roose
We study how non-BPS type II D-branes couple to R-R potentials. Upon tachyon condensation the couplings we find give rise to the Wess-Zumino action of BPS D-branes.
Delicate windows into evaporating black holes
Ben Craps, Juan Hernandez, Mikhail Khramtsov +1
We revisit the model of an AdS black hole in JT gravity evaporating into an external bath. We study when, and how much, information about the black hole interior can be accesse…
Matrix Thermalization
Ben Craps, Oleg Evnin, Kévin Nguyen
Matrix quantum mechanics offers an attractive environment for discussing gravitational holography, in which both sides of the holographic duality are well-defined. Similarly to hig…
On D-branes in Type 0 String Theory
Marco Billo', Ben Craps, Frederik Roose
Using boundary states we derive the presence of (chiral) fermions on the intersection of type 0 D-branes. The corresponding anomalous couplings on the branes are then computed. Fur…
Multiseed Krylov complexity
Ben Craps, Oleg Evnin, Gabriele Pascuzzi
Krylov complexity is an attractive measure for the rate at which quantum operators spread in the space of all possible operators under dynamical evolution. One expects that its lat…
Ultraviolet asymptotics for quasiperiodic AdS_4 perturbations
Ben Craps, Oleg Evnin, Puttarak Jai-akson +1
Spherically symmetric perturbations in AdS-scalar field systems of small amplitude epsilon approximately periodic on time scales of order 1/epsilon^2 (in the sense that no signific…
Definitions of entwinement
Ben Craps, Marine De Clerck, Alejandro Vilar López
Entwinement was first introduced as the CFT dual to extremal, non-minimal geodesics of quotiented AdS spaces. It was heuristically meant to capture the entanglement of internal…
The spectral function in a strongly coupled, thermalising CFT
Alice Bernamonti, Ben Craps, Joris Vanhoof
In relation to the fluctuation-dissipation theorem, we discuss a time-dependent notion of spectral function and effective temperature. Extending recent results from arXiv:1212.6066…
Local recoil of extended solitons: a string theory example
Ben Craps, Oleg Evnin, Shin Nakamura
It is well-known that localized topological defects (solitons) experience recoil when they suffer an impact by incident particles. Higher-dimensional topological defects develop di…
Maximally rotating waves in AdS and on spheres
Ben Craps, Oleg Evnin, Vincent Luyten
We study the cubic wave equation in AdS_(d+1) (and a closely related cubic wave equation on S^3) in a weakly nonlinear regime. Via time-averaging, these systems are accurately desc…
Anomalous couplings of type 0 D-branes
Marco Billo', Ben Craps, Frederik Roose
Closed type 0 string theories and their D-branes are introduced. The full Wess-Zumino action of these D-branes is derived. The analogy with type II is emphasized throughout the arg…
A Matrix Big Bang
Ben Craps, Savdeep Sethi, Erik Verlinde
The light-like linear dilaton background represents a particularly simple time-dependent 1/2 BPS solution of critical type IIA superstring theory in ten dimensions. Its lift to M-t…
From Big Crunch to Big Bang with AdS/CFT
Neil Turok, Ben Craps, Thomas Hertog
The AdS/CFT correspondence is used to describe five-dimensional cosmology with a big crunch singularity in terms of super-Yang-Mills theory on R times S^3 deformed by a potential w…