\( \mathcal{S}\)-modular transformation of the \(\mathcal{N}=2\) superconformal algebra characters
DOI10.1134/s0040577923110028OpenAlexW4388979868MaRDI QIDQ6202525
M. Ghominejad, Mohammad Reza Bahraminasab
Publication date: 26 March 2024
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0040577923110028
spectral theta functions\( \mathcal{N}=2\) superconformal algebra characters\( \mathcal{S}\)-modular transformationhigher-level Appell functions
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Appell, Horn and Lauricella functions (33C65)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Conformal field theory
- The theory of Jacobi forms
- On simplicity of vacuum modules
- Unitary representations of \(U_{q} (\mathfrak s\mathfrak l(2,\mathbb R))\), the modular double and the multiparticle \(q\)-deformed Toda chain
- Resolutions and characters of irreducible representations of the \(N=2\) superconformal algebra
- Determinant formula for the topological \(N=2\) superconformal algebra.
- Higher-level Appell functions, modular transformations, and characters
- Elliptic functions and applications
- Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
- TFT construction of RCFT correlators. I: Partition functions
- Classification of finite simple Lie conformal superalgebras.
- The kernel of the modular representation and the Galois action in RCFT
- \(N = 2\) superconformal characters as the residue of \(\widehat{sl} (2\mid 1 )\) affine Lie superalgebra characters by defining a new vocabulary for Jacobi theta functions
- Theta vocabulary. I
- Finite conformal modules over N=2,3,4 superconformal algebras
- Classification of modules of the intermediate series over Ramond N=2 superconformal algebras
- QUANTUM DILOGARITHM
- Quantum KZ equation with |q| = 1 and correlation functions of theXXZmodel in the gapless regime
- QUANTUM EXPONENTIAL FUNCTION
- HEISENBERG AND MODULAR INVARIANCE OF N=2 CONFORMAL FIELD THEORY
- Equivalence between chain categories of representations of affine sl(2) and N=2 superconformal algebras
- On parity functions in conformal field theories
- Classification of indecomposable modules of the intermediate series over the twisted N=2 superconformal algebra
- A new proof of the transformation law of Jacobi’s theta function $\theta _3(w,\tau )$
- Lie superalgebras
- Strongly coupled quantum discrete Liouville theory. I: Algebraic approach and duality
- Integrable highest weight modules over affine superalgebras and Appell's function
- M. P. Appell's function and vector bundles of rank 2 on elliptic curves
- Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of \(\mathcal U_q(\mathfrak{sl}(2,\mathbb R))\)
This page was built for publication: \( \mathcal{S}\)-modular transformation of the \(\mathcal{N}=2\) superconformal algebra characters
