期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 10, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP10(2022)143
关键词
Gauge-Gravity Correspondence; AdS-CFT Correspondence
资金
- Senior Research Fellowship (SRF) from the Ministry of Education (MoE),12 Govt. of India
- RDF fund of SR [RDF/IITH/F171/SR]
- Department of Science and Technology (DST) of the Ministry of Science and Technology of India by a fellowship under the Innovation in Science Pursuit for Inspired Research (INSPIRE) scheme [DST/INSPIRE Fellowship/2019/IF190561]
- IIT Hyderabad seed grant [SG/IITH/F171/2016-17/SG-47]
This study extends our previous work on the complexity characteristics of Little String Theory (LST) using holography. By incorporating Lorentz violating deformations in a 2d field theory, the effects of Lorentz violation and nonlocality on quantum complexity are investigated. The study finds that these effects are intertwined in the UV divergence structure of quantum complexity.
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 (TT) deformation. Here we look at the more general LST obtained by UV deforming the 2d CFT by incorporating Lorentz violating irrelevant JT and TJ deformations on top of TT 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 AdS3 is treated as special case of interest.
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