Holographic Ward identities for symmetry breaking in two dimensions
High Energy Physics - Theory
2017-04-26 v2
Abstract
We investigate symmetry breaking in two-dimensional field theories which have a holographic gravity dual. Being at large N, the Coleman theorem does not hold and Goldstone bosons are expected. We consider the minimal setup to describe a conserved current and a charged operator, and we perform holographic renormalization in order to find the correct Ward identities describing symmetry breaking. This involves some subtleties related to the different boundary conditions that a vector can have in the three-dimensional bulk. We establish which is the correct prescription that yields, after renormalization, the same Ward identities as in higher dimensions.
Keywords
Cite
@article{arxiv.1612.00771,
title = {Holographic Ward identities for symmetry breaking in two dimensions},
author = {Riccardo Argurio and Gaston Giribet and Andrea Marzolla and Daniel Naegels and J. Anibal Sierra-Garcia},
journal= {arXiv preprint arXiv:1612.00771},
year = {2017}
}
Comments
20 pages. v2 comments added. Version to appear in JHEP