Induced gauge theories and W gravity

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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 ... continued below

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Pages: (33 p)

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Schoutens, K. (State Univ. of New York, Stony Brook, NY (United States). Inst. for Theoretical Physics); Sevrin, A. (Lawrence Berkeley Lab., CA (United States)) & van Nieuwenhuizen, P. (European Organization for Nuclear Research, Geneva (Switzerland). Theory Div. State Univ. of New York, Stony Brook, NY (United States). Inst. for Theoretical Physics) November 1, 1991.

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Description

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.

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Pages: (33 p)

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OSTI; NTIS; INIS; GPO Dep.

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  • Strings and symmetries conference, Stony Brook, NY (United States), 20-25 May 1991

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  • Other: DE92011218
  • Report No.: LBL-31381
  • Report No.: CONF-9105113--4
  • Report No.: ITP-SB--91-54
  • Report No.: CERN-TH--6330/91
  • Report No.: UCB-PTH--91/51
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 5480448
  • Archival Resource Key: ark:/67531/metadc1092919

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  • November 1, 1991

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  • Feb. 10, 2018, 10:06 p.m.

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  • April 25, 2018, 6:01 p.m.

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Schoutens, K. (State Univ. of New York, Stony Brook, NY (United States). Inst. for Theoretical Physics); Sevrin, A. (Lawrence Berkeley Lab., CA (United States)) & van Nieuwenhuizen, P. (European Organization for Nuclear Research, Geneva (Switzerland). Theory Div. State Univ. of New York, Stony Brook, NY (United States). Inst. for Theoretical Physics). Induced gauge theories and W gravity, article, November 1, 1991; [Berkeley,] California. (digital.library.unt.edu/ark:/67531/metadc1092919/: accessed September 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.