Yang-Baxter invariance of the Nappi-Witten model

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Abstract

We study Yang-Baxter deformations of the Nappi-Witten model with a prescription invented by Delduc, Magro and Vicedo. The deformations are specified by skew-symmetric classical r-matrices satisfying (modified) classical Yang-Baxter equations. We show that the sigma-model metric is invariant under arbitrary deformations (while the coefficient of B-field is changed) by utilizing the most general classical r-matrix. Furthermore, the coefficient of B-field is determined to be the original value from the requirement that the one-loop β-function should vanish. After all, the Nappi-Witten model is the unique conformal theory within the class of the Yang-Baxter deformations preserving the conformal invariance.

Journal

  • Nuclear Physics B

    Nuclear Physics B (905), 242-250, 2016-04

    Elsevier B.V.

Codes

  • NII Article ID (NAID)
    120005774664
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    0550-3213
  • Data Source
    IR 
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