|
|
|
|
A matrix model for WZW
|
|
|
|
|
|
|
|
نویسنده
|
Dorey Nick ,Tong David ,Turner Carl
|
|
منبع
|
journal of high energy physics - 2016 - دوره : 2016 - شماره : 8 - صفحه:1 -31
|
|
چکیده
|
We study a u(n) gauged matrix quantum mechanics which, in the large n limit, is closely related to the chiral wzw conformal field theory. this manifests itself in two ways. first, we construct the left-moving kac-moody algebra from matrix degrees of freedom. secondly, we compute the partition function of the matrix model in terms of schur and kostka polynomials and show that, in the large n limit, it coincides with the partition function of the wzw model. this same matrix model was recently shown to describe non-abelian quantum hall states and the relationship to the wzw model can be understood in this framework.
|
|
کلیدواژه
|
Chern-Simons Theories ,Conformal and W Symmetry ,Matrix Models
|
|
آدرس
|
University of Cambridge, Department of Applied Mathematics and Theoretical Physics, UK, University of Cambridge, Department of Applied Mathematics and Theoretical Physics, UK. Department of Theoretical Physics, TIFR, India. Stanford Institute for Theoretical Physics, USA, University of Cambridge, Department of Applied Mathematics and Theoretical Physics, UK
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|