T T ¯ deformations with N = ( 0 , 2 ) supersymmetry
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In this article, the authors investigated the behavior of two-dimensional quantum field theories with N = (0, 2) supersymmetry under a deformation induced by the T (T) over bar composite operator.Abstract:
We investigate the behavior of two-dimensional quantum field theories with N = (0,2) supersymmetry under a deformation induced by the "T (T) over bar" composite operator. We show that the deforming operator can be defined by a point-splitting regularization in such a way as to preserve N = (0, 2) supersymmetry. As an example of this construction, we work out the deformation of a free N = (0,2) theory, compare to that induced by the Noether stress-energy tensor and argue that, despite their apparent difference, they are equivalent on shell. Finally, we show that the N = (0,2) supersymmetric deformed action actually possesses N = (2,2) symmetry, half of which is nonlinearly realized.read more
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$T\overline{T}$ in AdS$_2$ and Quantum Mechanics
TL;DR: In this paper, an equivalent description of the TT¯ deformation in terms of coupling to worldline gravity is proposed, and applications to quantum-mechanical systems including the Schwarzian theory are studied.
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A pedagogical review on solvable irrelevant deformations of 2D quantum field theory
TL;DR: In this article, a pedagogical review on the deformation of two-dimensional quantum field theories is presented, based on three lectures which the author gave at ITP-CAS in December 2018.
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$T\bar T$ and the mirage of a bulk cutoff
TL;DR: In this paper, the authors used the variational principle approach to derive the large holographic dictionary for two-dimensional CFTs, for both signs of the deformation parameter.
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boldsymbol {T/line{T}} T T ̄ , boldsymbol {J/line{T}} J T ̄ , boldsymbol{T/line{J}} T J ̄ and string theory
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T T flows and (2, 2) supersymmetry
Chih-Kai Chang,Christian Ferko,Savdeep Sethi,Alessandro Sfondrini,Gabriele Tartaglino-Mazzucchelli +4 more
TL;DR: In this article, a solvable deformation of two-dimensional theories with (2, 2) supersymmetry using an irrelevant operator which is a bilinear in the supercurrents was constructed.
References
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Supersymmetry and Supergravity
Julius Wess,Jonathan Bagger +1 more
TL;DR: The second edition of this book appeared in 1983 and was based on a series of lectures given at Princeton in 1983 by Julius Wess as discussed by the authors, where the authors presented a general supersymmetric gauge invariant theory of chiral fields interacting with supergravity.
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