ABJ theory in the higher spin limit

作者：Hirano Shinji; Honda Masazumi; Okuyama Kazumi; Shigemori Masaki

来源：The Journal of High Energy Physics, 2016, 2016(8): 174.

DOI：10.1007/JHEP08(2016)174

• AdS-CFT Correspondence
• Chern-Simons Theories
• Higher Spin Gravity
• Supersymmetric gauge theory

We study the conjecture made by Chang, Minwalla, Sharma, and Yin on the duality between the N = 6 Vasiliev higher spin theory on AdS 4 and the N = 6 Chern-Simons-matter theory, so-called ABJ theory, with gauge group U(N) x U(N + M). Building on our earlier results on the ABJ partition function, we develop the systematic 1 = M expansion, corresponding to the weak coupling expansion in the higher spin theory, and compare the leading 1/M correction, with our proposed prescription, to the one-loop free energy of the N = 6 Vasiliev theory. We find an agreement between the two sides up to an ambiguity that appears in the bulk one-loop calculation.

• 出版日期2016-8-31