Holographic Ward identities for symmetry breaking in two dimensions
Abstract
We investigate symmetry breaking in twodimensional 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 threedimensional bulk. We establish which is the correct prescription that yields, after renormalization, the same Ward identities as in higher dimensions.
 Publication:

Journal of High Energy Physics
 Pub Date:
 April 2017
 DOI:
 10.1007/JHEP04(2017)007
 arXiv:
 arXiv:1612.00771
 Bibcode:
 2017JHEP...04..007A
 Keywords:

 AdSCFT Correspondence;
 Field Theories in Lower Dimensions;
 Spontaneous Symmetry Breaking;
 High Energy Physics  Theory
 EPrint:
 20 pages. v2 comments added. Version to appear in JHEP