Beta function of \(k\) deformed \(\mathrm{AdS}_{5}\times S^{5}\) string theory
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Publication:2636112
DOI10.1007/JHEP11(2015)095zbMATH Open1388.81195arXiv1507.05420MaRDI QIDQ2636112
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Publication date: 31 May 2018
Published in: (Search for Journal in Brave)
Abstract: We calculate the one loop beta function for the would-be marginal coupling on the world sheet of the k deformed sigma models associated to a quantum group with q=exp(i pi/k). This includes the bosonic principal chiral models and symmetric space sigma models but also the k deformed semi-symmetric space sigma model describing strings in a deformation of AdS_5 x S^5. The world sheet sigma model is a current-current deformation of the gauged WZW model for the supergroup PSU(2,2|4) with level k. In the string theory context the beta function is shown to vanish because of the vanishing of the Killing form of PSU(2,2|4) which is another piece of evidence that the k deformed theories define consistent string theories.
Full work available at URL: https://arxiv.org/abs/1507.05420
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