Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 11, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP11(2015)095
Keywords
Integrable Equations in Physics; Superstrings and Heterotic Strings; Conformal Field Models in String Theory; Renormalization Group
Categories
Funding
- STFC [ST/G000506/1]
- STFC studentship
- Science and Technology Facilities Council [ST/L000369/1, 1579722, ST/G000506/1] Funding Source: researchfish
- STFC [ST/L000369/1, ST/G000506/1] Funding Source: UKRI
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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(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 vertical bar 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 vertical bar 4) which is another piece of evidence that the k deformed theories define consistent string theories.
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