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2. chinaXiv:201711.02300 [pdf]

Finite-size E?ect for Dyonic Giant Magnons in CP 3β

Hui-Huang Chen; Jun-Bao Wu
Subjects: Physics >> General Physics: Statistical and Quantum Mechanics, Quantum Information, etc.

We studied the ?nite-size giant magnons in AdS4 ×CPβ background using the classical spectral curve constructed in this paper. We computed the ?nite-size corrections to the dispersion relations for the RP 3 giant magnons using our twisted algebraic curve based on the method proposed in, in which the authors computed the ?nite-size corrections of giant magnons in AdS4 × CP by introducing a ?nite-size resolvent G?nite(x). We obtained exactly the same result as in [2], where a totally di?erent approach was used.

submitted time 2017-11-10 Hits1015Downloads549 Comment 0

3. chinaXiv:201711.02313 [pdf]

Y-system for γ-deformed ABJM Theory

Hui-Huang Chen; Peng Liu; Jun-Bao Wu
Subjects: Physics >> General Physics: Statistical and Quantum Mechanics, Quantum Information, etc.

We investigate the integrable aspects of the planar -deformed ABJM theory and propose the twisted asymptotic Bethe ansatz equations. A more general method through a twisted generating functional is discussed, based on which, the asymptotic large L solution of Y-system is modi ed in order to match the asymptotic Bethe ansatz equations. Several applications of our method in the sl(2)-like sector and some important examples in -deformed ABJM are presented as well.

submitted time 2017-11-10 Hits1183Downloads523 Comment 0

4. chinaXiv:201609.01018 [pdf]

Novel BPS Wilson loops in three-dimensional quiver Chern–Simons-matter theories

Hao Ouyang; Jun-Bao Wu; Jia-ju Zhang
Subjects: Physics >> Nuclear Physics

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.

submitted time 2016-09-14 Hits1103Downloads577 Comment 0

5. chinaXiv:201609.00959 [pdf]

Supersymmetric Wilson loops in $ \mathcal{N}=4 $ super Chern-Simons-matter theory

Hao Ouyang; Jun-Bao Wu; Jia-ju Zhang
Subjects: Physics >> Nuclear Physics

We investigate the supersymmetric Wilson loops in?d=3?N=4?super 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?Q-exact with?Q?being 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.

submitted time 2016-09-13 Hits1046Downloads622 Comment 0

6. chinaXiv:201609.00920 [pdf]

BPS Wilson loops in Minkowski spacetime and Euclidean space

Hao Ouyang; Jun-Bao Wu; Jia-ju Zhang
Subjects: Physics >> Nuclear Physics

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 d = 4 N = 4 super Yang-Mills theory,d = 3 N = 2 super Chern-Simons-matter theory, and d = 3 N = 6 Aharony-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.

submitted time 2016-09-13 Hits1110Downloads626 Comment 0

7. chinaXiv:201609.00079 [pdf]

Short interval expansion of R\'enyi entropy on torus

Bin Chen; Jun-Bao Wu; Jia-ju Zhang
Subjects: Physics >> Nuclear Physics

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???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??6, 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.

submitted time 2016-09-06 Hits905Downloads511 Comment 0

8. chinaXiv:201609.00011 [pdf]

Scattering Equations, Twistor-string Formulas and Double-soft Limits in Four Dimensions

Song He; Zhengwen Liu; Jun-Bao Wu
Subjects: Physics >> Nuclear Physics

We study scattering equations and formulas for tree amplitudes of various theories in four dimensions, in terms of spinor helicity variables and on-shell superspace for supersymmetric theories. As originally obtained in Witten's twistor string theory and other twistor-string models, the equations can take either polynomial or rational forms, and we clarify the simple relation between them. We present new, four-dimensional formulas for all tree amplitudes in the non-linear sigma model, a special Galileon theory and the maximally supersymmetric completion of the Dirac-Born-Infeld theory. Furthermore, we apply the formulas to study various double-soft theorems in these theories, including the emissions of a pair of soft photons, fermions and scalars for super-amplitudes in super-DBI theory.

submitted time 2016-09-01 Hits886Downloads453 Comment 0

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