Partition function of Chern-Simons theory as renormalized q-dimension

JOURNAL OF GEOMETRY AND PHYSICS

卷:129

Article

Mkrtchyan, R. L.¹ 

[1] Yerevan Phys Inst, 2 Alikhanian Br Str, Yerevan 0036, Armenia

关键词: Chern-Simons theory;    Affine Kac-Moody algebras;    Vogel's universality;   

DOI  :  10.1016/j.geomphys.2018.03.009

来源: Elsevier

【 摘 要 】

We calculate q-dimension of kth Cartan power of fundamental representation Lambda(0), corresponding to affine root of affine simply laced Kac-Moody algebras, and show that in the limit q -> 1, and with natural renormalization, it is equal to universal partition function of Chern-Simons theory on three-dimensional sphere. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free