Masanori Hanada, Masazumi Honda, Yoshinori Honma, Jun Nishimura, Shotaro Shiba, Yutaka Yoshida
We show that the ABJM theory, which is a N=6 superconformal U(N)\times U(N)
Chern-Simons gauge theory, can be studied for arbitrary N at arbitrary coupling
constant by applying a simple Monte Carlo method to the matrix model that can
be derived from the theory by using the localization technique. This opens up
the possibility of probing the quantum aspects of M-theory and testing the
AdS_4/CFT_3 duality at the quantum level. Here we calculate the free energy,
and confirm the N^{3/2} scaling in the M-theory limit predicted from the
gravity side. We also find that the previously proposed analytical formula
needs to be corrected by an additional term at each order of the string
coupling expansion. The method can be easily generalized to the calculations of
BPS operators and to other theories that reduce to matrix models.
View original:
http://arxiv.org/abs/1202.5300
No comments:
Post a Comment