Partition Functions for BPS States of the Non-Critical E8 String
J. A. Minahan, D. Nemeschansky, N. P. Warner
Abstract
We consider the BPS states of the E8 non-critical string wound around one of the circles of a toroidal compactification to four dimensions. These states are indexed by their momenta and winding numbers. We find explicit expressions, Gn, for the momentum partition functions for the states with winding number n. The Gn are given in terms of modular forms. We give a simple algorithm for generating the Gn, and we show that they satisfy a recurrence relation that is reminiscent of the holomorphic anomaly equations of Kodaira-Spencer theory.
Create a lesson
Related papers
A universal sector of N=1 class S spectra
Ritabrata Bhattacharya, Abhay Katyal, Oscar Varela
Reflected entropy and islands in JT gravity from partial dimensional reduction
Debarshi Basu, Himanshu Chourasiya
q-deformed Weil-Petersson Volumes from the Spectral Edge of DSSYK and Supersymmetric Extensions
Wasif Ahmed, Joydeep Naskar, Krishan Saraswat
Modular Properties of Generalised Gibbs Ensembles: The Deformed KdV Hierarchy
Faisal Karimi
The Quasiparticle Ansatz for Relativistic Continuous Matrix Product States
Silviu S. Pufu, Benjamin T. Søgaard, Spyros Terlemes
Anomaly induced transport in holographic superconductors
Ashis Tamang, Nishal Rai, Javier Esteban et al.