Holographic flows in non-Abelian T-dual geometries

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We consider the backgrounds obtained by Abelian and non-Abelian T-duality applied on AdS 5 × S 5 . We study geodesics, calculate Penrose limits and find the associated plane-wave geometries. We quantise the weakly coupled type-IIA string theory on these backgrounds. We study the BMN sector, finding operators that wrap the original quiver CFT. For the non-Abelian plane wave, we find a 'flow' in the frequencies. We report some progress to understand this, in terms of deconstruction of a higher dimensional field theory. We explore a relation with the plane-wave limit of the Janus solution, which we also provide.

Section: Closed String Quantization On the Pp Wavesupporting

confidence: 69%

Penrose limits of Abelian and non-Abelian T-duals of AdS5 × S5 and their field theory duals

Ίτσιος

Năstase

Núñez

et al. 2018

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“…As observed in [43,44] for other AdS backgrounds (see appendix B for a general analysis), this solution arises in the r → ∞ limit of the non-Abelian T-dual solution derived in section 2. This is straightforward for the metric and the NS-NS 2-form, 5 while the dilatons differ by an r 2 factor that accounts for the different integration measures in the partition functions of the Abelian and non-Abelian T-dual σ-models, as explained in [44].…”

Section: Jhep11(2016)133supporting

confidence: 59%

“…As previously discussed in other non-Abelian T-dual examples -see [27,34,36,43], the behaviour of the solution close to the location of the NS5-branes brings in interesting information. Close to µ = 0 we have B 2 = r Vol(S 2 1 ), with the metric spanned by (µ, S becoming a singular cone, which defines a 2-cycle.…”

Section: Jhep11(2016)133mentioning

confidence: 70%

Three-dimensional N = 4 $$ \mathcal{N}=4 $$ linear quivers and non-Abelian T-duals

Lozano

Macpherson

Montero

et al. 2016

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114

In this paper we construct a new Type IIB background with an AdS 4 factor that preserves N = 4 Supersymmetry. This solution is obtained using a non-Abelian T-duality transformation on the Type IIA reduction of the AdS 4 × S 7 background. We interpret our configuration as a patch of a more general background with localised sources, dual to the renormalisation fixed point of a Tρ ρ (SU(N )) quiver field theory. This relates explicitly the AdS 4 geometry to a D3-D5-NS5 brane intersection, illuminating what seems to be a more general phenomenon, relating AdS p+1 backgrounds generated by non-Abelian T-duality to Dp-D(p + 2)-NS5 branes intersections.

“…As a closing remark, an explicit flow (triggered by a VEV) between the N = 1 and the N = 2 non-Abelian T-dual backgrounds was constructed in [35]. It should be interesting to use the detailed field theoretical picture developed above and in [44], to be more precise about various aspects of this RG-flow.…”

Section: Jhep09(2017)038mentioning

confidence: 99%

The AdS 5 non-Abelian T-dual of Klebanov-Witten as a N = 1 $$ \mathcal{N}=1 $$ linear quiver from M5-branes

Ίτσιος

Lozano

Montero

et al. 2017

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In this paper we study an AdS 5 solution constructed using non-Abelian Tduality, acting on the Klebanov-Witten background. We show that this is dual to a linear quiver with two tails of gauge groups of increasing rank. The field theory dynamics arises from a D4-NS5-NS5' brane set-up, generalizing the constructions discussed by Bah and Bobev. These realize N = 1 quiver gauge theories built out of N = 1 and N = 2 vector multiplets flowing to interacting fixed points in the infrared. We compute the central charge using a-maximization, and show its precise agreement with the holographic calculation. Our result exhibits n 3 scaling with the number of five-branes. This suggests an eleven-dimensional interpretation in terms of M5-branes, a generic feature of various AdS backgrounds obtained via non-Abelian T-duality.