Holographic Ward identities for symmetry breaking in two dimensions

Autor: Riccardo Argurio, Gaston Giribet, Andrea Marzolla, Daniel Naegels, J. Anibal Sierra-Garcia
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2017, Iss 4, Pp 1-17 (2017)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP04(2017)007
Popis: 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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