Subjects: Physics >> General Physics: Statistical and Quantum Mechanics, Quantum Information, etc. submitted time 2017-11-10
Abstract：We investigate the holographic R´enyi entropy for two-dimensional N = (2, 2) superconformal field theory (SCFT), which is dual to N = 2 supergravity in AdS3 background. In SCFT we have the stress tensor,current, and their supersymmetric partners, and in supergravity we have the graviton, vector field, and two gravitinos. We get the R´enyi mutual information of two short intervals on complex plane in expansion by the cross ratio x to order x4, and R´enyi entropy of one interval on torus in expansion by q = exp(−2 /L), with being the inverse temperature and L being the spatial period, to order q2. We calculate in both the supergravity and SCFT sides, and find matches of the results.
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Subjects: Physics >> Nuclear Physics submitted time 2016-09-14
Abstract： We show that generic three-dimensional燦=2爍uiver super Chern-Simons-matter theories admit Bogomol'nyi-Prasad-Sommerfield (BPS) Drukker-Trancanelli (DT) type Wilson loops. We investigate both Wilson loops along timelike infinite straight lines in Minkowski spacetime and circular Wilson loops in Euclidean space. In Aharnoy-Bergman-Jafferis-Maldacena theory, we find that generic BPS DT type Wilson loops preserve the same number of supersymmetries as Gaiotto-Yin type Wilson loops. There are several free parameters for generic BPS DT type Wilson loops in the construction, and supersymmetry enhancement for Wilson loops happens for special values of the parameters.
Peer Review Status:Awaiting Review
Subjects: Physics >> Nuclear Physics submitted time 2016-09-14
Abstract： In this paper we investigate the holographic R\'enyi entropy in燦=1爏upergravity (SUGRA) in AdS3爏pacetime, which is dual to the two-dimensional燦=(1,1)爏uperconformal field theory (SCFT). We consider both cases of two short intervals on a line with zero temperature and one interval on a circle with low temperature. In SUGRA side we consider contributions of both graviton and gravitino, and in SCFT side we consider contributions of both stress tensor燭,燭癄and their superpartners燝,燝� We find matches between SUGRA and SCFT results.
Peer Review Status:Awaiting Review
Subjects: Physics >> Nuclear Physics submitted time 2016-09-13
Abstract： We investigate the supersymmetric Wilson loops in燿=3燦=4爏uper Chern-Simons-matter theory obtained from non-chiral orbifold of ABJM theory. We work in both Minkowski spacetime and Euclidean space, and we construct 1/4 and 1/2 BPS Wilson loops. We also provide a complete proof that the difference between 1/4 and 1/2 Wilson loops is燪-exact with燪燽eing some supercharge that is preserved by both the 1/4 and 1/2 Wilson loops. This plays an important role in applying the localization techniques to compute the vacuum expectation values of Wilson loops. We also study the M-theory dual of the 1/2 BPS circular Wilson loop.
Peer Review Status:Awaiting Review
Subjects: Physics >> Nuclear Physics submitted time 2016-09-13
Abstract： We give evidence that spacelike BPS Wilson loops do not exist in Minkowski spacetime. We show that spacelike Wilson loops in Minkowski spacetime cannot preserve any supersymmetries, in燿=4燦=4爏uper Yang-Mills theory,燿=3燦=2爏uper Chern-Simons-matter theory, and燿=3燦=6燗harony-Bergman-Jafferis-Maldacena theory. We not only show this using infinite straight lines and circles as examples, but also we give proofs for general curves. We attribute this to the conflicts of reality conditions of the spinors. However, spacelike Wilson loops do exist in Euclidean space. There are both BPS Wilson loops along infinite straight lines and circular BPS Wilson loops. This is because the reality conditions of the spinors are lost after Wick rotation. The result is reasonable in view of the AdS/CFT correspondence.
Peer Review Status:Awaiting Review
Subjects: Physics >> Nuclear Physics submitted time 2016-09-06
Abstract： We investigate the short interval expansion of the R\'enyi entropy for two-dimensional conformal field theory (CFT) on a torus. We require the length of the interval ℓ to be small with respect to the spatial and temporal sizes of the torus. The operator product expansion of the twist operators allows us to compute the short interval expansion of the R\'enyi entropy at any temperature. In particular, we pay special attention to the large c CFTs dual to the AdS3 gravity and its cousins. At both low and high temperature limits, we read the R\'enyi entropies to order ℓ6, and find good agreements with holographic results. Moreover, the expansion allows us to read 1/c contribution, which is hard to get by expanding the thermal density matrix. We generalize the study to the case with the chemical potential as well.
Peer Review Status:Awaiting Review
Subjects: Physics >> Nuclear Physics submitted time 2016-09-01
Abstract： We investigate the one-loop entanglement entropy of two short intervals with small cross ratio爔爋n a complex plane in two-dimensional conformal field theory (CFT) using operator product expansion of twist operators. We focus on the one-loop entanglement entropy instead of the general order爊燫\'enyi entropy, and this makes the calculation much easier. We consider the contributions of stress tensor to order爔10, contributions of燱3爋perator to order爔12, and contributions of燱4爋perator to order爔14. The CFT results agree with the ones in gravity.
Peer Review Status:Awaiting Review
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