Conformal Field Theory and algebraic structure of gauge theory

被引:19
作者
Zeitlin, Anton M. [1 ]
机构
[1] Yale Univ, Dept Math, Dunham Lab 442, New Haven, CT 06511 USA
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2010年 / 03期
关键词
Bosonic Strings; Conformal Field Models in String Theory; Sigma Models; GEOMETRY; BRST;
D O I
10.1007/JHEP03(2010)056
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 consider various homotopy algebras related to Yang-Mills theory and two-dimensional conformal field theory (CFT). Our main objects of study are Yang-Mills L-infinity and C-infinity algebras and their relation to the certain algebraic structures of Lian-Zuckerman type in CFT. We also consider several examples of algebras related to gauge theory, involving first order formulations and gauge theories with matter fields.
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页数:32
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共 36 条
[1]   The geometry of the master equation and topological quantum field theory [J].
Alexandrov, M ;
Schwarz, A ;
Zaboronsky, O ;
Kontsevich, M .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1997, 12 (07) :1405-1429
[2]  
[Anonymous], HEPTH0503128
[3]  
[Anonymous], ARXIV07061533
[4]   QUANTIZATION OF GAUGE-THEORIES WITH LINEARLY DEPENDENT GENERATORS [J].
BATALIN, IA ;
VILKOVISKY, GA .
PHYSICAL REVIEW D, 1983, 28 (10) :2567-2582
[5]   GAUGE ALGEBRA AND QUANTIZATION [J].
BATALIN, IA ;
VILKOVISKY, GA .
PHYSICS LETTERS B, 1981, 102 (01) :27-31
[6]  
Berkovits N, 2003, J HIGH ENERGY PHYS
[7]   TOPOLOGICAL FIELD-THEORY [J].
BIRMINGHAM, D ;
BLAU, M ;
RAKOWSKI, M ;
THOMPSON, G .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1991, 209 (4-5) :129-340
[8]  
Coletti E, 2003, J HIGH ENERGY PHYS
[9]  
COSTELLO KJ, MATH0605647, P54011
[10]   Yang-Mills gauge conditions from Witten's open string field theory [J].
Feng, Haidong ;
Siegel, Warren .
PHYSICAL REVIEW D, 2007, 75 (04)