Relating U(N)xU(N) to SU(N)xSU(N) Chern-Simons Membrane theories

Autor: Lambert, Neil, Papageorgakis, Constantinos
Rok vydání: 2010
Předmět:
Zdroj: JHEP 1004:104,2010
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP04(2010)104
Popis: By integrating out the U(1)_B gauge field, we show that the U(n)xU(n) ABJM theory at level k is equivalent to a Z_k identification of the (SU(n)xSU(n))/Z_n Chern-Simons theory, but only when n and k are coprime. As a consequence, the k=1 ABJM model for two M2-branes in R^8 can be identified with the N=8 (SU(2)xSU(2))/Z_2 theory. We also conjecture that the U(2)xU(2) ABJM model at k=2 is equivalent to the N=8 SU(2)xSU(2)-theory.
Comment: 16 pages, Latex; v2: references added; v3: Clarifications added
Databáze: arXiv