期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2017)007
关键词
AdS-CFT Correspondence; Field Theories in Lower Dimensions; Spontaneous Symmetry Breaking
资金
- IISN-Belgium [4.4503.15]
- CONICET [PIP 0595-13]
- NSF-CONICET bilateral cooperation
- Spanish FPI fellowship [FPA2011-22594]
- MINECO [FPA2014-52218-P]
- Xunta de Galicia [GRC2013-024]
- FEDER
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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