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arXiv · 1801.09708

Comments on $T \bar T$ double trace deformations and boundary conditions

William Cottrell·Akikazu Hashimoto
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Abstract

We study the UV dynamics of $\mu T \bar T$ deformed conformal field theories formulated as a deformation of generating functions. We explore the issue of non-perturbative completion of the $\mu$ expansion by deriving an integral expression using the Fourier/Legendre transform technique, and show that it is more natural to impose Neumann, as opposed to the Dirichlet, boundary condition, for the metric at the cut-off surface recently proposed by McGough, Mezei, and Verlinde. We also comment on interesting connection to boundary conformal field theories.

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William Cottrell, Akikazu Hashimoto. 2018-01-29. Comments on $T \bar T$ double trace deformations and boundary conditions. https://doi.org/10.1016/j.physletb.2018.09.068

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