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arXiv · 1612.00771

Holographic Ward identities for symmetry breaking in two dimensions

Riccardo Argurio·Gaston Giribet·Andrea Marzolla·Daniel Naegels·J. Anibal Sierra-Garcia
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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.

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Riccardo Argurio, Gaston Giribet, Andrea Marzolla, Daniel Naegels, J. Anibal Sierra-Garcia. 2017-03-27. Holographic Ward identities for symmetry breaking in two dimensions. https://doi.org/10.1007/jhep04(2017)007

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