189 citations · 1k across the 24 of their papers we have counts for
26 papers
Truncated Polyakov bootstrap for BCFTs: Neumann-Dirichlet flow and Ising special transition
Kaushik Kangsabanik, Apratim Kaviraj, Astha Tiwari
We extend the recently proposed truncated Polyakov bootstrap to boundary conformal field theories (BCFTs). The formalism uses the analytic functional framework to find approximate…
Truncated Polyakov bootstrap
Kaushik Kangshabanik, Apratim Kaviraj, Shailesh Lal
We set up a truncated numerical approach in the Polyakov bootstrap (PB) framework. We employ a gradient descent optimization to solve PB sum rules numerically, and hence solve cros…
Ising surface defects can get dirty
António Antunes, Apratim Kaviraj, Baishali Roy
Real critical systems, such as uniaxial ferromagnets in the 3d Ising universality class, are constrained by boundaries and subject to random couplings. We consider the Wilson-Fishe…
Five points for the Polyakov Bootstrap
António Antunes, Sebastian Harris, Apratim Kaviraj
Higher-point correlation functions encode the data of infinitely many 4-point correlators in conformal field theory (CFT). In this paper, we develop new tools to efficiently extrac…
Supersymmetry in the Landau Level Problem with a Disorder Potential
Apratim Kaviraj, Philine van Vliet
We explore a supersymmetric (SUSY) theory that arises in the Landau level problem with disorder. Charged particles in a strong magnetic field and a local potential are described by…
Comb Channel Lightcone Bootstrap II: Triple-Twist Anomalous Dimensions
Sebastian Harris, Apratim Kaviraj, Jeremy A. Mann +2
We advance the multipoint lightcone bootstrap and compute anomalous dimensions of triple-twist operators at large spin. In contrast to the well-studied double-twist operators, trip…
Lining up a Positive Semi-Definite Six-Point Bootstrap
António Antunes, Sebastian Harris, Apratim Kaviraj +1
In this work we initiate a positive semi-definite numerical bootstrap program for multi-point correlators. Considering six-point functions of operators on a line we reformulate the…
Polyakov blocks for the 1D CFT mixed correlator bootstrap
Kausik Ghosh, Apratim Kaviraj, Miguel F. Paulos
We introduce manifestly crossing-symmetric expansions for arbitrary systems of 1D CFT correlators. These expansions are given in terms of certain Polyakov blocks which we define an…
Multipoint Lightcone Bootstrap from Differential Equations
Apratim Kaviraj, Jeremy A. Mann, Lorenzo Quintavalle +1
One of the most striking successes of the lightcone bootstrap has been the perturbative computation of the anomalous dimensions and OPE coefficients of double-twist operators with…
Random Field Model and Parisi-Sourlas Supersymmetry
Apratim Kaviraj, Emilio Trevisani
We use the RG framework set up in arXiv:2009.10087 to explore the theory with a random field interaction. According to the Parisi-Sourlas conjecture this theory admits a fixe…
The fate of Parisi-Sourlas supersymmetry in Random Field models
Apratim Kaviraj, Slava Rychkov, Emilio Trevisani
By the Parisi-Sourlas conjecture, the critical point of a theory with random field (RF) disorder is described by a supersymmeric (SUSY) conformal field theory (CFT), related to a $…
Crossing antisymmetric Polyakov blocks + Dispersion relation
Apratim Kaviraj
Many CFT problems, e.g. ones with global symmetries, have correlation functions with a crossing antisymmetric sector. We show that such a crossing antisymmetric function can be exp…
Charging Up the Functional Bootstrap
Kausik Ghosh, Apratim Kaviraj, Miguel F. Paulos
We revisit the problem of bootstrapping CFT correlators of charged fields. After discussing in detail how bounds for uncharged fields can be recycled to the charged case, we introd…
Random Field Ising Model and Parisi-Sourlas Supersymmetry. Part II. Renormalization Group
Apratim Kaviraj, Slava Rychkov, Emilio Trevisani
We revisit perturbative RG analysis in the replicated Landau-Ginzburg description of the Random Field Ising Model near the upper critical dimension 6. Working in a field basis with…
Random Field Ising Model and Parisi-Sourlas Supersymmetry I. Supersymmetric CFT
Apratim Kaviraj, Slava Rychkov, Emilio Trevisani
Quenched disorder is very important but notoriously hard. In 1979, Parisi and Sourlas proposed an interesting and powerful conjecture about the infrared fixed points with random fi…
The Functional Bootstrap for Boundary CFT
Apratim Kaviraj, Miguel F. Paulos
We introduce a new approach to the study of the crossing equation for CFTs in the presence of a boundary. We argue that there is a basis for this equation related to the generalize…
Towards a Bootstrap approach to higher orders of epsilon expansion
Parijat Dey, Apratim Kaviraj
We employ a hybrid approach in determining the anomalous dimension and OPE coefficient of higher spin operators in the Wilson-Fisher theory. First we do a large spin analysis for C…
Mellin space bootstrap for global symmetry
Parijat Dey, Apratim Kaviraj, Aninda Sinha
We apply analytic conformal bootstrap ideas in Mellin space to conformal field theories with symmetry and cubic anisotropy. We write down the conditions arising from the con…
A Mellin space approach to the conformal bootstrap
Rajesh Gopakumar, Apratim Kaviraj, Kallol Sen +1
We describe in more detail our approach to the conformal bootstrap which uses the Mellin representation of four point functions and expands them in terms of crossing symmet…
Conformal Bootstrap in Mellin Space
Rajesh Gopakumar, Apratim Kaviraj, Kallol Sen +1
We propose a new approach towards analytically solving for the dynamical content of Conformal Field Theories (CFTs) using the bootstrap philosophy. This combines the original boots…
More on analytic bootstrap for O(N) models
Parijat Dey, Apratim Kaviraj, Kallol Sen
This note is an extension of a recent work on the analytical bootstrapping of models. An additonal feature of the model is that the OPE contains trace and antisymmetr…
Universal anomalous dimensions at large spin and large twist
Apratim Kaviraj, Kallol Sen, Aninda Sinha
In this paper we consider anomalous dimensions of double trace operators at large spin () and large twist () in CFTs in arbitrary dimensions (). Using analytic co…
Analytic bootstrap at large spin
Apratim Kaviraj, Kallol Sen, Aninda Sinha
We use analytic conformal bootstrap methods to determine the anomalous dimensions and OPE coefficients for large spin operators in general conformal field theories in four dimensio…
Nonlinear constraints on gravity from entanglement
Shamik Banerjee, Apratim Kaviraj, Aninda Sinha
Using the positivity of relative entropy arising from the Ryu-Takayanagi formula for spherical entangling surfaces, we obtain constraints at the nonlinear level for the gravitation…