Conformal boundary state for the rectangular geometry

被引:19
作者
Bondesan, R. [1 ,2 ,3 ]
Dubail, J. [4 ]
Jacobsen, J. L. [2 ,3 ,5 ]
Saleur, H. [1 ,3 ,6 ]
机构
[1] CEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, France
[2] Ecole Normale Super, LPTENS, F-75231 Paris, France
[3] Inst Poincare, F-75231 Paris, France
[4] Yale Univ, Dept Phys, New Haven, CT 06520 USA
[5] Univ Paris 06, F-75252 Paris, France
[6] USC, Dept Phys, Los Angeles, CA 90089 USA
关键词
OPEN STRING CHANNEL; FREE-ENERGY; CHAIN;
D O I
10.1016/j.nuclphysb.2012.04.021
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We discuss conformal field theories (CFTs) in rectangular geometries, and develop a formalism that involves a conformal boundary state for the 1 + 1d open system. We focus on the case of homogeneous boundary conditions (no insertion of a boundary condition changing operator), for which we derive an explicit expression of the associated boundary state, valid for any arbitrary CFT. We check the validity of our solution, comparing it with known results for partition functions, numerical simulations of lattice discretizations, and coherent state expressions for free theories. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:553 / 575
页数:23
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