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2019

$T\bar{T}$ deformed CFT as a non-critical string

Callebaut, Nele, Kruthoff, Jorrit, Verlinde, Herman

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We present a new exact treatment of $T\bar{T}$ deformed 2D CFT in terms of the worldsheet theory of a non-critical string.

The transverse dimensions of the non-critical string are represented by the undeformed CFT, while the two longitudinal light-cone directions are described by two scalar fields $X^+$ and $X^-$ with free field OPE's but with a modified stress tensor, arranged so that the total central charge adds up to 26.
The relation between our $X^\pm$ field variables and 2D dilaton gravity is indicated.
We compute the physical spectrum and the partition function and find a match with known results.

$T\bar{T}$ deformed CFT as a non-critical string · Around

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