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20192026
most citedClassifying three-character RCFTs with Wronskian Index equalling or

23 citations · 116 across the 20 of their papers we have counts for

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17 papers · 1 filter

hep-th2026

OPE and correlation functions in a generally covariant form

Arpit Das, Anatoly Konechny, Naveen Balaji Umasankar

In this paper we consider some general aspects of Euclidean conformal field theories on curved spaces of dimension . We first look at the OPE of scalar primary fields on co…

hep-th2026

Unlocking the Wronskian Tower: A Simplification of the Holomorphic Modular Bootstrap

Arpit Das, Sunil Mukhi

Characters of rational conformal field theories solve modular linear differential equations labelled by their order and the Wronskian index . Direct classification of admissi…

hep-th2026

Dissipative hydrodynamic actions and horizon symmetries in gravity

Mike Blake, Arpit Das, Richard A. Davison

We give a prescription to compute a dissipative action describing the large-scale thermal stress tensor dynamics of a holographic quantum field theory dual to AdS gravity, in t…

hep-th2026

Verlinde lines, anyon permutations and commutant pairs inside CFT

Naveen Balaji Umasankar, Arpit Das

We develop a defect-theoretic refinement of meromorphic 2d CFTs in which the ordinary torus partition function -- often just the vacuum character -- does not reveal how states orga…

hep-th2025

Signs, growth and admissibility of quasi-characters and the holomorphic modular bootstrap for RCFT

Arpit Das, Sunil Mukhi

Rational conformal field theories in 2d have partition functions built from holomorphic characters, whose classification can be addressed via the holomorphic modular bootstrap. Thi…

hep-th2024★ 11 cited

Generalized Symmetry Resolution of Entanglement in CFT for Twisted and Anyonic sectors

Arpit Das, Javier Molina-Vilaplana, Pablo Saura-Bastida

A comprehensive symmetry resolution of the entanglement entropy (EE) in -d rational conformal field theories (RCFT) with categorical non-invertible symmetries is presented.…

hep-th2024★ 3 cited

Hydrodynamic fluctuations and topological susceptibility in chiral magnetohydrodynamics

Arpit Das, Nabil Iqbal, Napat Poovuttikul

Chiral magnetohydrodynamics is devoted to understanding the late-time and long-distance behavior of a system with an Adler-Bell-Jackiw anomaly at finite temperatures. The non-conse…

hep-th2023

Meromorphic CFTs have central charges c = 8: a proof based on the MLDE approach and Rademacher series

Arpit Das

In this short note, we present a simple and elementary proof that meromorphic conformal field theories (CFTs) have central charges of the form: with (the se…

hep-th2023★ 4 cited

Higher-form symmetry and chiral transport in real-time Abelian lattice gauge theory

Arpit Das, Adrien Florio, Nabil Iqbal +1

We study classical lattice simulations of theories of electrodynamics coupled to charged matter at finite temperature, interpreting them using the higher-form symmetry formulation…

hep-th2023

Modular Differential Equations with Movable Poles and Admissible RCFT Characters

Arpit Das, Chethan N. Gowdigere, Sunil Mukhi +1

Studies of modular linear differential equations (MLDE) for the classification of rational CFT characters have been limited to the case where the coefficient functions (in monic fo…

hep-th2022★ 10 cited

Towards an effective action for chiral magnetohydrodynamics

Arpit Das, Nabil Iqbal, Napat Poovuttikul

We consider chiral magnetohydrodynamics, i.e. a finite-temperature system where an axial current is not conserved due to an Adler-Bell-Jackiw anomaly saturated by the dynami…

hep-th2022★ 9 cited

Meromorphic Cosets and the Classification of Three-Character CFT

Arpit Das, Chethan N. Gowdigere, Sunil Mukhi

We investigate the admissible vector-valued modular forms having three independent characters and vanishing Wronskian index and determine which ones correspond to genuine 2d confor…

hep-th2022

Two- & Three-character solutions to MLDEs and Ramanujan-Eisenstein Identities for Fricke Groups

Arpit Das, Naveen Balaji Umasankar

In this work we extend the study of arXiv:2210.07186 by investigating two- and three-character MLDEs for Fricke groups at prime levels. We have constructed these higher-character M…

hep-th2022★ 6 cited

New meromorphic CFTs from cosets

Arpit Das, Chethan N. Gowdigere, Sunil Mukhi

In recent years it has been understood that new rational CFTs can be discovered by applying the coset construction to meromorphic CFTs. Here we turn this approach around and show t…

hep-th2022★ 12 cited

Higher-form symmetries, anomalous magnetohydrodynamics, and holography

Arpit Das, Ruth Gregory, Nabil Iqbal

In Abelian gauge theory coupled to fermions, the non-conservation of the axial current due to the chiral anomaly is given by a dynamical operator con…

hep-th2021★ 23 cited

Classifying three-character RCFTs with Wronskian Index equalling or

Arpit Das, Chethan N. Gowdigere, Jagannath Santara

In the modular linear differential equation (MLDE) approach to classifying rational conformal field theories (RCFTs) both the MLDE and the RCFT are identified by a pair of non-nega…

hep-th2021★ 19 cited

Wronskian Indices and Rational Conformal Field Theories

Arpit Das, Chethan N. Gowdigere, Jagannath Santara

The classification scheme for rational conformal field theories, given by the Mathur-Mukhi-Sen (MMS) program, identifies a rational conformal field theory by two numbers: .…