Results 1 to 10 of about 39,117 (114)
Quasi-characters in $\widehat{su(2)}$ current algebra at fractional levels
SciPost Physics Core, 2023 We study the even characters of $\widehat{su(2)}$ conformal field theories (CFTs) at admissible fractional levels obtained from the difference of the highest weight characters in the unflavoured limit. We show that admissible even character vectors arise
Sachin Grover
doaj +1 more source
Spaces of states of the two-dimensional $O(n)$ and Potts models
SciPost Physics, 2023 We determine the spaces of states of the two-dimensional $O(n)$ and $Q$-state Potts models with generic parameters $n,Q\in \mathbb{C}$ as representations of their known symmetry algebras.
Jesper Lykke Jacobsen, Sylvain Ribault, Hubert Saleur
doaj +1 more source
Conformal characters and the modular representation [PDF]
Journal of High Energy Physics, 2006 17 ...
Bantay, Peter, Gannon, Terry
openaire +3 more sources
Asymptotic distribution of traces of singular moduli
Discrete Analysis, 2022 Asymptotic distribution of traces of singular moduli, Discrete Analysis 2022:4, 14 pp. This paper concerns the modular $j$-function, a famous function that is fundamental to algebraic number theory and has remarkable connections to other areas of ...
Nickolas Andersen, William Duke
doaj +1 more source
BMS characters and modular invariance
Journal of High Energy Physics, 2019 We construct the characters for the highest weight representations of the 3d Bondi-Metzner-Sachs (BMS3) algebra. We reproduce our character formula by looking at singular limits from 2d CFT characters and find that our answers are identical to the ...
Arjun Bagchi, Amartya Saha, Zodinmawia
doaj +1 more source
Modular invariance of string theory on AdS_3 [PDF]
, 2000 We discuss the modular invariance of the SL(2,R) WZW model. In particular, we discuss in detail the modular invariants using the \hat{sl}(2,R) characters based on the discrete unitary series of the SL(2,R) representations.
Akishi Kato +12 more
core +3 more sources
The Verlinde formula in logarithmic CFT [PDF]
, 2015 In rational conformal field theory, the Verlinde formula computes the fusion coefficients from the modular S-transformations of the characters of the chiral algebra's representations.
Ridout, David, Wood, Simon
core +5 more sources
Sheaves on the alcoves and modular representations II
, 2020 We relate the category of sheaves on alcoves that was constructed in "Sheaves on the alcoves and modular representations I" to the representation theory of reductive algebraic groups.
Fiebig, Peter, Lanini, Martina
core +2 more sources
Factorized Combinations of Virasoro Characters [PDF]
, 1999 We investigate linear combinations of characters for minimal Virasoro models which are representable as a products of several basic blocks. Our analysis is based on consideration of asymptotic behaviour of the characters in the quasi-classical limit.
Bytsko, A. G., Fring, A.
core +2 more sources
String Partition Functions, Hilbert Schemes, and Affine Lie Algebra Representations on Homology Groups [PDF]
, 2012 This review paper contains a concise introduction to highest weight representations of infinite dimensional Lie algebras, vertex operator algebras and Hilbert schemes of points, together with their physical applications to elliptic genera of ...
Bonora, Loriano +2 more
core +1 more source