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Strings, Symmetric Products, $T \bar{T}$ deformations and Hecke Operators

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arxiv 1909.11118 v2 pith:ICBYYGDE submitted 2019-09-24 hep-th

classification hep-th
keywords stringssymmetricdeformedheckelongpartitionproductblock
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We derive a formula for the torus partition sum of the symmetric product of $T\bar T$ deformed CFT's, using previous work on long strings in (deformed) $AdS_3$, and universality. The result is given by an integral transform of the partition function for the block of the symmetric product, summed over its Hecke transforms, and is manifestly modular invariant. The spectrum is interpretable as a gas of multiply wound long strings with a particular orientation.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The On-shell Gravity Action and Linear Dilaton Holography

    hep-th 2025-08 conditional novelty 6.0 of 10

    The Euclidean on-shell action for linear-dilaton three-dimensional string backgrounds yields a spacetime mass whose square-root form matches the TT-deformed CFT energy formula.

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