Holographic complexity of LST and single trace TT¯

Chakraborty, Soumangsu and Katoch, Gaurav and Roy, Shubho Ranjan (2021) Holographic complexity of LST and single trace TT¯. Journal of High Energy Physics, 2021 (3). pp. 1-35. ISSN 1029-8479

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In this work, we continue our study of string theory in the background that interpolates between AdS3 in the IR to flat spacetime with a linear dilaton in the UV. The boundary dual theory interpolates between a CFT2 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. © 2021, The Author(s).

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IITH Creators:
IITH CreatorsORCiD
Roy, Shubho Ranjanhttps://orcid.org/0000-0001-7034-8203
Item Type: Article
Uncontrolled Keywords: AdS-CFT Correspondence; Gauge-gravity correspondence; Long strings
Subjects: Physics
Divisions: Department of Physics
Depositing User: . LibTrainee 2021
Date Deposited: 25 Aug 2022 14:35
Last Modified: 25 Aug 2022 14:35
URI: http://raiith.iith.ac.in/id/eprint/10299
Publisher URL: http://doi.org/10.1007/JHEP03(2021)275
OA policy: https://v2.sherpa.ac.uk/id/publication/11319
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