410 citations · 995 across the 22 of their papers we have counts for
22 papers
Quadratic reciprocity from a family of adelic conformal field theories
An Huang, Bogdan Stoica, Xiao Zhong
We consider a deformation of the two-dimensional free scalar field theory by raising the Laplacian to a positive real power. It turns out that the resulting non-local generalized f…
Closed form expression for the 5-point Veneziano amplitude in terms of 4-point amplitudes
Bogdan Stoica
We propose a number system covariance principle between -adic and Archimedean frameworks. We use it to derive several closed-form expressions for the five-point open string tach…
Massless -brane modes and the critical line
An Huang, Bogdan Stoica, Xiao Zhong
We consider a -brane model as a theory of maps from the vertices of the Bruhat-Tits tree times into . We show that in order for the worldsheet time e…
Bounds on the Ricci curvature and solutions to the Einstein equations for weighted graphs
An Huang, Bogdan Stoica, Xuyang Xia +1
This is a preliminary study of the equation of motion of Euclidean classical gravity on a graph, based on the Lin-Lu-Yau Ricci curvature on graphs. We observe that the constant edg…
From -adic to Archimedean Physics: Renormalization Group Flow and Berkovich Spaces
An Huang, Dan Mao, Bogdan Stoica
We introduce the -adic particle-in-a-box as a free particle with periodic boundary conditions in the -adic spatial domain. We compute its energy spectrum, and show that the s…
Green's Functions for Vladimirov Derivatives and Tate's Thesis
An Huang, Bogdan Stoica, Shing-Tung Yau +1
Given a number field with a Hecke character , for each place we study the free scalar field theory whose kinetic term is given by the regularized Vladimirov derivative a…
General relativity from -adic strings
An Huang, Bogdan Stoica, Shing-Tung Yau
For an arbitrary prime number , we propose an action for bosonic -adic strings in curved target spacetime, and show that the vacuum Einstein equations of the target are a con…
Scrambling in Two-Dimensional Conformal Field Theories with Light and Smeared Operators
Harsha R. Hampapura, Andrew Rolph, Bogdan Stoica
We study quantum chaos in two dimensional conformal field theories, building on the work analyzing the out-of-time order thermal correlation functions using large-c Virasoro blocks…
Building Archimedean Space
Bogdan Stoica
I propose that physical theories defined over finite places (including -adic fields) can be used to construct conventional theories over the reals, or conversely, that certain t…
Bit Threads and Holographic Monogamy
Shawn X. Cui, Patrick Hayden, Temple He +3
Bit threads provide an alternative description of holographic entanglement, replacing the Ryu-Takayanagi minimal surface with bulk curves connecting pairs of boundary points. We us…
Signs of the time: Melonic theories over diverse number systems
Steven S. Gubser, Matthew Heydeman, Christian Jepsen +4
Melonic field theories are defined over the -adic numbers with the help of a sign character. Our construction works over the reals as well as the -adics, and it includes the…
Holographic Entropy Cone Measures
Ning Bao, Samuel Blitz, Bogdan Stoica
We investigate numerically several proxy measures for the number of states contained within the holographic entropy cone, compared to the number contained within the quantum entrop…
Edge length dynamics on graphs with applications to -adic AdS/CFT
Steven S. Gubser, Matthew Heydeman, Christian Jepsen +5
We formulate a Euclidean theory of edge length dynamics based on a notion of Ricci curvature on graphs with variable edge lengths. In order to write an explicit form for the discre…
Gravitational Positive Energy Theorems from Information Inequalities
Nima Lashkari, Jennifer Lin, Hirosi Ooguri +2
In this paper we argue that classical, asymptotically AdS spacetimes that arise as states in consistent ultraviolet completions of Einstein gravity coupled to matter must satisfy a…
Tensor networks, -adic fields, and algebraic curves: arithmetic and the AdS/CFT correspondence
Matthew Heydeman, Matilde Marcolli, Ingmar Saberi +1
One of the many remarkable properties of conformal field theory in two dimensions is its connection to algebraic geometry. Since every compact Riemann surface is a projective algeb…
Nonlinear Sigma Models with Compact Hyperbolic Target Spaces
Steven Gubser, Zain H. Saleem, Samuel S. Schoenholz +2
We explore the phase structure of nonlinear sigma models with target spaces corresponding to compact quotients of hyperbolic space, focusing on the case of a hyperbolic genus-2 Rie…
The Holographic Entropy Cone
Ning Bao, Sepehr Nezami, Hirosi Ooguri +3
We initiate a systematic enumeration and classification of entropy inequalities satisfied by the Ryu-Takayanagi formula for conformal field theory states with smooth holographic du…
Tomography from Entanglement
Jennifer Lin, Matilde Marcolli, Hirosi Ooguri +1
The Ryu-Takayanagi formula relates the entanglement entropy in a conformal field theory to the area of a minimal surface in its holographic dual. We show that this relation can be…
Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
Thomas Hartman, Christoph A. Keller, Bogdan Stoica
Two-dimensional conformal field theories exhibit a universal free energy in the high temperature limit , and a universal spectrum in the Cardy regime, .…
Hall Viscosity and Angular Momentum in Gapless Holographic Models
Hong Liu, Hirosi Ooguri, Bogdan Stoica
We use the holographic approach to compare the Hall viscosity and the angular momentum density in gapless systems in dimensions at finite temperature. We sta…
Angular Momentum Generation by Parity Violation
Hong Liu, Hirosi Ooguri, Bogdan Stoica
We generalize our holographic derivation of spontaneous angular momentum generation in 2 + 1 dimensions in several directions. We consider cases when a parity violating perturbatio…
Spontaneous Generation of Angular Momentum in Holographic Theories
Hong Liu, Hirosi Ooguri, Bogdan Stoica +1
The Schwarzschild black two-brane in four-dimensional anti-de Sitter space is dual to a finite temperature state in three-dimensional conformal field theory. We show that the solut…