Beta function of k deformed AdS5 × S 5 string theory
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 = e iπ/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 AdS5 × 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.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- November 2015
- DOI:
- 10.1007/JHEP11(2015)095
- arXiv:
- arXiv:1507.05420
- Bibcode:
- 2015JHEP...11..095A
- Keywords:
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- Integrable Equations in Physics;
- Superstrings and Heterotic Strings;
- Conformal Field Models in String Theory;
- Renormalization Group;
- High Energy Physics - Theory
- E-Print:
- 26 pages, some typos corrected