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Title:
Solving TTbar+JTbar using background gauge fields
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Abstract:
The TTbar deformation is part of a family of deformations labeled by pairs of conserved currents. So far, energy levels of deformations of CFTs were determined in two cases: TTbar for a relativistic theory, and JTbar for a holomorphic current. I explain how background gauge fields let us solve for energy levels under arbitrary linear combinations of these deformations. Exploring the parameter space, we find qualitatively similar UV behaviour than in TTbar-deformed theories in general and find that the deformations mostly commute. Our exact explicit solution for arbitrary deformations matches holographic calculations. There are roadblocks to applying this formalism to higher-spin KdV charges. Using different tools we derived the evolution of KdV charges in a TTbar-deformed CFT.
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