Induced gauge theories and W gravity

Conference · Fri Nov 01 00:00:00 EST 1991

OSTI ID:5480448

Schoutens, K ^[1]; Sevrin, A ^[2]; van Nieuwenhuizen, P ^[3]

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1. State Univ. of New York, Stony Brook, NY (United States). Inst. for Theoretical Physics
2. Lawrence Berkeley Lab., CA (United States)
3. European Organization for Nuclear Research, Geneva (Switzerland). Theory Div. State Univ. of New York, Stony Brook, NY (United States). Inst. for Theoretical Physics

We review some aspects of induced gauge theories in two dimensions. We focus on W{sub 3} gravity, paying particular attention to the treatment of the non-linearities inherent to W gravity. We show that the induced action {Gamma}{sub ind}(h,b) for chiral W{sub 3} in the c {yields} {plus minus}infinity limit is obtained from the induced action of a gauged Sl(3,R) Wess-Zumino-Witten model by imposing constraints on some of the affine currents. Subsequently we investigate the effective action, which is obtained by integrating the induced action over the gauge fields. We show perturbatively that certain subleading terms which appear in the induced action for finite c (and which are related to nonlocal terms in the Ward identifies) get canceled by similar terms due to loop corrections, and we propose an all-order result for the effective action.

• Research Organization: Lawrence Berkeley Lab., CA (United States)
• Sponsoring Organization: USDOE; National Science Foundation (NSF); USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 5480448
• Report Number(s): LBL-31381; CONF-9105113-4; ITP-SB-91-54; CERN-TH-6330/91; UCB-PTH-91/51; ON: DE92011218; CNN: NSF-91-08054; PHY-90-21139
• Resource Relation: Conference: Strings and symmetries conference, Stony Brook, NY (United States), 20-25 May 1991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GRAVITATION
UNIFIED GAUGE MODELS
GRADED LIE GROUPS
SUPERSYMMETRY
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
SYMMETRY
SYMMETRY GROUPS
661310* - Relativity & Gravitation- (1992-)
662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)