Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Modular Invariance in Two-Dimensional Conformal Field Theories

Palash Singh

Published May 1, 2020• 0 citations
OpenAlex

Related papers

On modular invariant partition functions for tensor products of conformal field theories

Gerald Cleaver, David C. Lewellen

arXiv:hep-th/9211073•Physics Letters B•Feb 1, 1993•2 citations

Eigenstate thermalization hypothesis and modular invariance of two-dimensional conformal field theories

Yasuaki Hikida A, Yuya Kusuki, Tadashi Takayanagi

We study properties of heavy-light-heavy three-point functions in two-dimensional conformal field theories by using the modular invariance of two-point functions on a torus. We show that the result is nontrivially consistent with the condition of eigenstate thermalization hypothesis. We also study the open-closed duality of cylinder amplitudes and derive behaviors of disk one-point functions.

arXiv:1804.09658•Physical review. D/Physical review. D.•Jul 3, 2018•66 citations

Fusion rules and modular transformations in 2D conformal field theory

Erik Verlinde

Nuclear Physics B•Jan 1, 1988•1,536 citations

Constraining Two dimensional CFTs with Modular Invariance

Jin-Beom Bae

We discuss how the modular property constraints partition function of two-dimensional conformal field theories(CFT). We apply the semi-definite programming to analyze the modular constraints. We verified that the modular bootstrap program find the partition of various rational CFTs. This includes the level-one Wess-Zumino-Witten(WZW) models with Degline's exceptional series, cousins of extremal CFTs, babymonster CFT and c=8 and c=16 CFTs without Kac-Moody symmetry.

International Conference on High Energy Physics (ICHEP)•Aug 2, 2019•1 citation

Two-dimensional conformal quantum field theory

Paolo Furlan, Galen M. Sotkov, Ivan T. Todorov

Rivista Del Nuovo Cimento•Jun 1, 1989•72 citations

On the spectrum of 2D conformal field theories

Doron Gepner

Nuclear Physics B•Jan 1, 1987•145 citations