Holographic complexity of LST and single trace TT

A bstract In this work, we continue our study of string theory in the background that interpolates between AdS 3 in the IR to flat spacetime with a linear dilaton in the UV. The boundary dual theory interpolates between a CFT 2 in the IR to a certain two-dimensional Little String Theory (LST) in the...

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Veröffentlicht in:The journal of high energy physics 2021-03, Vol.2021 (3)
Hauptverfasser: Chakraborty, Soumangsu, Katoch, Gaurav, Roy, Shubho R.
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Katoch, Gaurav
Roy, Shubho R.
description A bstract In this work, we continue our study of string theory in the background that interpolates between AdS 3 in the IR to flat spacetime with a linear dilaton in the UV. The boundary dual theory interpolates between a CFT 2 in the IR to a certain two-dimensional Little String Theory (LST) in the UV. In particular, we study computational complexity of such a theory through the lens of holography and investigate the signature of non-locality in the short distance behavior of complexity. When the cutoff UV scale is much smaller than the non-locality (Hagedorn) scale, we find exotic quadratic and logarithmic divergences (for both volume and action complexity) which are not expected in a local quantum field theory. We also generalize our computation to include the effects of finite temperature. Up to second order in finite temperature correction, we do not any find newer exotic UV-divergences compared to the zero temperature case.
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subjects Classical and Quantum Gravitation
Complexity
Dilatons
Elementary Particles
Field theory
High energy physics
Holography
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity Theory
String Theory
title Holographic complexity of LST and single trace TT
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