Holographic partition functions and phases for higher genus Riemann surfaces
High Energy Physics - Theory
2016-05-25 v1 General Relativity and Quantum Cosmology
Abstract
We describe a numerical method to compute the action of Euclidean saddlepoints for the partition function of a two-dimensional holographic CFT on a Riemann surface of arbitrary genus, with constant curvature metric. We explicitly evaluate the action for the saddles for genus two and map out the phase structure of dominant bulk saddles in a two-dimensional subspace of the moduli space. We discuss spontaneous breaking of discrete symmetries, and show that the handlebody bulk saddles always dominate over certain non-handlebody solutions.
Keywords
Cite
@article{arxiv.1601.00980,
title = {Holographic partition functions and phases for higher genus Riemann surfaces},
author = {Henry Maxfield and Simon Ross and Benson Way},
journal= {arXiv preprint arXiv:1601.00980},
year = {2016}
}
Comments
27 pp + appendix