Chern-Simons gauge theory and symplectic quantum mechanics

被引：0

作者：

Jeffrey, Lisa ^{[1
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 2J7, Canada

来源：

CANADIAN JOURNAL OF PHYSICS | 2015年 / 93卷 / 09期

关键词：

Chern-Simons gauge theory; symplectic; quantum mechanics; mathematical physics; RIEMANNIAN GEOMETRY; SPECTRAL ASYMMETRY; INVARIANTS; MANIFOLDS; BUNDLES;

D O I：

10.1139/cjp-2014-0563

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe the relation between the Chern-Simons gauge theory partition function and the partition function defined using the symplectic action functional as the Lagrangian. We show that the partition functions obtained using these two Lagrangians agree, and we identify the semiclassical formula for the partition function defined using the symplectic action functional. We also compute the semiclassical formulas for the partition functions obtained using the two different Lagrangians: the Chern-Simons functional and the symplectic action functional.

引用

页码：971 / 973

页数：3

共 12 条

[1] Andersen J.E., 2011, ARXIV11071813
[2] Andersen J. E., 2011, ARXIV11045576
[3] SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .2.
ATIYAH, MF
PATODI, VK
SINGER, IM
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 78 (NOV) : 405 - 432
[4] SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .3.
ATIYAH, MF
PATODI, VK
SINGER, IM
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1976, 79 (JAN) : 71 - 99
[5] SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .1.
ATIYAH, MF
PATODI, VK
SINGER, IM
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 77 (JAN) : 43 - 69
[6] Dostoglou S., LMS LECT NOTES, V192, DOI [10.1017/CBO9780511526343.005, DOI 10.1017/CBO9780511526343.005]
[7] THE PICARD GROUP OF VARIETIES OF MODULI OF SEMI-STABLE VECTOR-BUNDLES ON ALGEBRAIC-CURVES
DREZET, JM
NARASIMHAN, MS
[J]. INVENTIONES MATHEMATICAE, 1989, 97 (01) : 53 - 94
[8] Garoufalidis S., 1991, THESIS U CHICAGO CHI
[9] STRING THEORY ON GROUP-MANIFOLDS
GEPNER, D
WITTEN, E
[J]. NUCLEAR PHYSICS B, 1986, 278 (03) : 493 - 549
[10] A splitting formula for the spectral flow of the odd signature operator on 3-manifolds coupled to a path of SU(2) connections
Himpel, B
[J]. GEOMETRY & TOPOLOGY, 2005, 9 : 2261 - 2303

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