Fermionic T-duality in massive type IIA supergravity on $$AdS_{10-k} \times M_k$$ A d S 10 - k × M k

Bakhmatov, Ilya

doi:10.1140/epjc/s10052-016-4004-1

Cited by 3 publications

(3 citation statements)

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“…In fact, massive Type IIA supergravity has been studied [39]- [40]. The Fermionic T-duality has also been studied for massive type IIA supergravity [41]. The relation between the massive IIA supergravity and M-theory has also been investigated [42].…”

Section: Introductionmentioning

confidence: 99%

Vaidya spacetime in massive gravity's rainbow

Heydarzade

Rudra²,

Darabi

et al. 2017

Physics Letters B

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In this paper, we will analyze the energy dependent deformation of massive gravity using the formalism of massive gravity's rainbow. So, we will use the Vainshtein mechanism and the dRGT mechanism for the energy dependent massive gravity, and thus analyze a ghost free theory of massive gravity's rainbow. We study the energy dependence of a time-dependent geometry, by analyzing the radiating Vaidya solution in this theory of massive gravity's rainbow. The energy dependent deformation of this Vaidya metric will be performed using suitable rainbow functions. *

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Section: Introductionmentioning

confidence: 99%

Vaidya spacetime in massive gravity's rainbow

Heydarzade

Rudra²,

Darabi

et al. 2017

Physics Letters B

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“…On the other hand, many works about the fermionic T-duality transform and the scattering amplitude/Wilson loop duality have been done in the past years [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] 4 . One of the purposes of the present work is to present the construction of fermionic T-duality transformation of the NCAdS background to cancel the non-constant dilaton and the complex field strength, and corresponding string solutions in the final dual background in more details which are expected to dual to scattering amplitude.…”

Section: Contents 1 Introductionmentioning

confidence: 99%

“…In sec.2, we first review the TsT transformation of 3 See [20] for a special scattering amplitudes amplitude in the finite temperature regime of non-commutative Tang-mills theory. 4 These works [21][22][23][24][25][26][27][28][29] are focus on the ABJM theory and the other works [30][31][32][33][34][35] study the N = 4 SYM theory.…”

Section: Contents 1 Introductionmentioning

confidence: 99%

T-duality to scattering amplitude and Wilson loop in non-commutative super Yang-Mills theory

Shu

2018

J. High Energ. Phys.

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We first perform bosonic T-duality transformation on one of the marginal TsT (T-duality, shift, T-duality)-deformed AdS 5 × S 5 spacetime, which corresponds to 4D N = 4 noncommutative super Yang-Mills theory (NCSYM). We then construct the solution to Killing spinor equations of the resulting background, and perform the fermionic T-duality transformation. The final dual geometry becomes the usual AdS 5 × S 5 spacetime but with a constant NS-NS B-field depending on the non-commutative parameter. As applications, we study the gluon scattering amplitude and open string (Wilson loop) solution in the TsTdeformed AdS 5 × S 5 spacetime, which are dual to the null polygon Wilson loop and the folded string solution respectively in the final dual geometry.

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A requiem forAdS4×CP3fermionic self-T duality

Colgáin

Pittelli

2016

Phys. Rev. D

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Strong evidence for dual superconformal symmetry in N = 6 superconformal Chern-Simons theory has fueled expectations that the AdS/CFT dual geometry AdS4 × CP 3 is self-dual under T-duality. We revisit the problem to identify commuting bosonic and fermionic isometries in a systematic fashion and show that fermionic T-duality, a symmetry originally proposed by Berkovits & Maldacena, inevitably leads to a singularity in the dilaton transformation. We show that TsT deformations commute with fermionic T-duality and comment on T-duality in the corresponding sigma model. Our results rule out self-duality based on fermionic T-duality for AdS4 × CP 3 or its TsT deformations, but leave the door open for new possibilities. INTRODUCTIONThe AdS/CFT correspondence is best understood as an equivalence between N = 4 super Yang-Mills (sYM) and type IIB string theory on AdS 5 × S 5 [1]. New ideas incubated in this unique setting quickly percolate to less familiar forms of the duality, where generality may be tested. A duality between superconformal N = 6 ChernSimons (ABJM) theory and type IIA superstrings on AdS 4 × CP 3 [2] represents the first challenge.For AdS 5 /CFT 4 , it is well-known that integrability is present in the planar limit of N = 4 sYM and also strings on AdS 5 × S 5 [3,4], allowing one to connect perturbative regimes of both descriptions. Integrability is believed to play a substantial rôle in relations between scattering amplitudes and Wilson loops [5][6][7][8], as well as the emergence of a hidden superconformal symmetry [9], whose closure with the original superconformal symmetry leads at tree level to Yangian symmetry [10,11], a recognisable integrable structure. Moreover, this so-called "dual superconformal symmetry" can be traced back to a selfmapping of the geometry AdS 5 ×S 5 under a combination of bosonic and fermionic T-dualities [12][13][14].Subsequent developments for ABJM theory largely parallel N = 4 sYM. Integrability is again a feature of the planar limit [15,16] and string theory on AdS 4 ×CP 3 [17][18][19][20]. Moreover, perturbative calculations provide convincing evidence for amplitude/Wilson loop duality [21,22], dual superconformal [23][24][25][26] and Yangian symmetry [27,28]. The similarities between AdS 5 /CFT 4 and AdS 4 /CFT 3 duality are striking and led to the hope that a self-dual mapping of the geometry AdS 4 × CP 3 under a combination of bosonic and fermionic T-dualities could also account for the observed perturbative symmetries in ABJM theory. In this letter we show that the Berkovits-Maldacena transformation [13] inevitably leads to a singularity in the dilaton shift, so self-duality based on fermionic T-duality can not work for AdS 4 × CP 3 .This result may come as no great surprise, since we have witnessed a number of no-go results of varying rigour [29][30][31][32][33][34]. Despite this, none are completely satisfactory. Earlier statements, e. g. [29,30], fail to take account of the chirality and the results of ref. [32], whose approach we follow, fail to be comprehensive in...

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Fermionic T-duality in massive type IIA supergravity on $$AdS_{10-k} \times M_k$$ A d S 10 - k × M k

Cited by 3 publications

References 38 publications

Vaidya spacetime in massive gravity's rainbow

Vaidya spacetime in massive gravity's rainbow

T-duality to scattering amplitude and Wilson loop in non-commutative super Yang-Mills theory

A requiem forAdS4×CP3fermionic self-T duality

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