Nonlocal charges from marginal deformations of 2D CFTs: Holographic T T ¯ & T J ¯ , and Yang-Baxter deformations
Abstract
In this paper we study generic features of nonlocal charges obtained from marginal deformations of Wess-Zumino-Novikov-Witten models. Using free-field representations of CFTs based on simply laced Lie algebras, one can use simple arguments to build the nonlocal charges; but for more general Lie algebras these methods are not strong enough to be generally used. We propose a brute force calculation where the nonlocality is associated to a new Lie algebra valued field, and from this prescription we impose several constraints on the algebra of nonlocal charges. Possible applications for Yang-Baxter and holographic T T ¯ and T J ¯ deformations are also discussed.
- Publication:
-
Physical Review D
- Pub Date:
- January 2020
- DOI:
- 10.1103/PhysRevD.101.025008
- arXiv:
- arXiv:1909.08149
- Bibcode:
- 2020PhRvD.101b5008A
- Keywords:
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- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 53 pages, 3 figures