Unitary minimal models of SW(3/2,3/2,2) superconformal algebra and manifolds of G2 holonomy
Boris Noyvert
Abstract
The SW(3/2,3/2,2) superconformal algebra is a W algebra with two free parameters. It consists of 3 superconformal currents of spins 3/2, 3/2 and 2. The algebra is proved to be the symmetry algebra of the coset (su(2)+su(2)+su(2))/su(2). At the central charge c=21/2 the algebra coincides with the superconformal algebra associated to manifolds of G2 holonomy. The unitary minimal models of the SW(3/2,3/2,2) algebra and their fusion structure are found. The spectrum of unitary representations of the G2 holonomy algebra is obtained.
Create a lesson
Related papers
Worldsheet skeins and block decomposition of quivers
Sachin Chauhan, Piotr Kucharski, Lukas Nakamura et al.
1/N corrections to TJJ and TTT in the critical O(N) vector and Gross--Neveu--Yukawa models
Yongwei Guo, Zhijin Li
Improved method for extracting low-energy expansion from OPE in mass-gapped theories
Hajime Furuta, Yukinari Sumino
Non-symmetric integral geometry: alternative reconstruction procedure with dual Radon transform
I. V. Anikin
Background Effects on Thermal Free Energy in Conformal Field Theories
Shuichi Yokoyama, Ibuki Yoshida, Hiroki Yunoto
Instantons from geometry in M2-brane sphere partition functions
Kiril Hristov, Ali Mert Yetkin