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Classical and quantum aspects of Yang-Baxter Wess-Zumino models
Journal of High Energy Physics, Volume: 2018, Issue: 3
Swansea University Author:
Daniel Thompson
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DOI (Published version): 10.1007/JHEP03(2018)041
Abstract
We investigate the integrable Yang-Baxter deformation of the 2d Principal Chiral Model with a Wess-Zumino term. For arbitrary groups, the one-loop $\beta$-functions are calculated and display a surprising connection between classical and quantum physics: the classical integrability condition is nece...
| Published in: | Journal of High Energy Physics |
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| ISSN: | 1029-8479 |
| Published: |
2018
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa39100 |
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| Abstract: |
We investigate the integrable Yang-Baxter deformation of the 2d Principal Chiral Model with a Wess-Zumino term. For arbitrary groups, the one-loop $\beta$-functions are calculated and display a surprising connection between classical and quantum physics: the classical integrability condition is necessary to prevent new couplings being generated by renormalisation. We show these theories admit an elegant realisation of Poisson-Lie T-duality acting as a simple inversion of coupling constants. The self-dual point corresponds to the Wess-Zumino-Witten model and is the IR fixed point under RG. We address the possibility of having supersymmetric extensions of these models showing that extended supersymmetry is not possible in general. |
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| Keywords: |
Integrable Field Theories; Sigma Models; String Dualities |
| College: |
Faculty of Science and Engineering |
| Issue: |
3 |