Holographic complexity of LST and single trace TT¯, JT¯ and TJ¯ deformations

A bstract This work is an extension of our previous work [1] where we exploited holography to compute the complexity characteristics of Little String Theory (LST), a nonlocal, nongravitational field theory which flows to a local 2d CFT in the IR under RG via an integrable irrelevant T T ¯ deformatio...

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Bibliographic Details
Published in:The journal of high energy physics 2022-10, Vol.2022 (10), p.143
Main Authors: Katoch, Gaurav, Mitra, Swejyoti, Roy, Shubho R.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Complexity
Deformation
Elementary Particles
Field theory
High energy physics
Holography
Phase transitions
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Transition points
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Summary:A bstract This work is an extension of our previous work [1] where we exploited holography to compute the complexity characteristics of Little String Theory (LST), a nonlocal, nongravitational field theory which flows to a local 2d CFT in the IR under RG via an integrable irrelevant T T ¯ deformation. Here we look at the more general LST obtained by UV deforming the 2d CFT by incorporating Lorentz violating irrelevant J T ¯ and T J ¯ deformations on top of T T ¯ deformation, in an effort to capture the novel signatures of Lorentz violation (on top of nonlocality) on quantum complexity. In anticipation of the fact that the dual field theory is Lorentz violating, we compute the volume complexity in two different Lorentz frames and the comparison is drawn between the results. It turns out that for this system the nonlocality and Lorentz violation effects are inextricably intertwined in the UV divergence structure of the quantum complexity. The coefficients of the divergences carry the signature of Lorentz boost violation. We also compute the subregion complexity which displays a (Hagedorn) phase transition with the transition point being the same as that for the phase transition of entanglement entropy [2]. These new results are consistent with our previous work [1]. Null warped AdS 3 is treated as special case of interest.
ISSN:1029-8479
DOI:10.1007/JHEP10(2022)143