Strings and Fields Group Seminar
@KEK Theory Center

KEK理論センター 弦と場グループセミナー




TITLE From Maxwell-Chern-Simons theory in AdS3 towards hydrodynamics in 1 + 1 dimensions
(AdS_3上のMaxwell-Chern-Simonsから1+1次元の流体力学に向けて)
SPEAKER Dr. Mitsutoshi Fujita(藤田充俊氏)
(Kavli IPMU)
LANGUAGE: Up to audience
DATE: January 15 (Wed) 13:30 − 15:00
PLACE: Kenkyu-Honkan, 1F, Meeting Room 3



    ABSTRACT

We study Abelian Maxwell-Chern-Simons theory in three-dimensional AdS black hole backgrounds for both integer and non-integer Chern-Simons coupling. In particular we find exact solutions in the low-frequency, low-momentum limit, ω, k ‹‹ T (hydrodynamic limit). Using the holographic principle, we translate our results into correlation functions of vector and scalar operators in the dual strongly coupled 1+1-dimensional quantum field theory with a chiral anomaly at non-zero temperature T. Starting from the conformal case we show applicability of the hydrodynamic limit and discuss extensions to the non-conformal case. Correlation functions in the conformal case are confirmed by comparison to an exact field-theoretic computation. Also a top-down string construction is provided as the ultraviolet completion for our Maxwell-Chern-Simons actions.