12 papers · 1 filter
A Comment On Topological Degeneracy In Gauged WZW Models
Gregory W. Moore, Eliezer Rabinovici, Ranveer Kumar Singh
Given a Lie group , a level , and a Lie subgroup one can construct 2d conformal field theories by either 1.) gauging a nonanomalous symmetry of the WZW model construc…
Generating Function of single-centered Black Hole Index in CHL Models
Ranveer Kumar Singh
We present the construction of the generating function of single-centered black hole index in general CHL models. This is done by subtracting from the index of quart…
Macdonald Index From Refined Kontsevich-Soibelman Operator
George Andrews, Anindya Banerjee, Ranveer Kumar Singh +1
We propose a refinement of the Kontsevich-Soibelman operator for a class of ``special'' 4d superconformal field theories characterized by the following conditions:…
Generating Function of Single Centered Black Hole Index from the Igusa Cusp Form
Ajit Bhand, Ashoke Sen, Ranveer Kumar Singh
We introduce manifestly duality invariant generating function of the index of single centered black holes in the heterotic string theory compactified on a six dimensional torus. Th…
Argyres-Douglas Theories, Macdonald Indices and Arc Space of Zhu Algebra
George Andrews, Anindya Banerjee, Chinmaya Bhargava +2
In this paper, we relate the MacDonald index of a 4d SCFT with the Hilbert series of the arc space of the Zhu algebra of the corresponding Schur VOA. Using this, we…
Mock Modularity Of Twisted Index In CHL Models
Nabamita Banerjee, Vedant Bhutra, Ranveer Kumar Singh
We study the twisted partition function of quarter BPS states in CHL models and show that for a large class of single-centered black holes, the degeneracy of microstates is given b…