AdS2 geometries and non-Abelian T-duality in non-compact spaces

Ramirez, Anayeli

doi:10.1007/jhep10(2021)020

Cited by 14 publications

(4 citation statements)

References 83 publications

(146 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Our construction in this paper provides one further example of the successful applications of non-Abelian T-duality to holography [42,44,49,[72][73][74][75][76][77][78][79][80][81][82][83][84][85]. In this case it has allowed to construct a line defect CFT within a 4d N = 2 SCFT in a well-controlled string theory set-up, with a known holographic dual.…”

Section: Jhep02(2023)193mentioning

confidence: 94%

“…These have to do mainly with the nonconnectedness of the boundary of AdS 2 , where the putative dual quantum mechanics lives, and with the peculiarity of AdS 2 gravity, which does not support finite energy excitations [27][28][29][30]. Interesting ways to avoid these difficulties have been proposed in the literature [1,[31][32][33][34][35][36][37][38][39][40][41][42]. These range from the study of nearly AdS 2 nearly CFT 1 dual pairs to the construction of AdS 2 solutions as null orbifolds of AdS 3 backgrounds, for which the 1d superconformal quantum mechanics (SCQM) is realised as a discrete light-cone compactification of a 2d CFT [28,31,32,38,39].…”

Section: Jhep02(2023)193mentioning

confidence: 99%

See 1 more Smart Citation

Line defects as brane boxes in Gaiotto-Maldacena geometries

Lozano

Petri

Risco

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We construct a new family of AdS2× S2× S2 solutions to Type IIA supergravity with 4 supercharges acting with non-Abelian T-duality on the recent class constructed in [1]. We focus on a particular solution in this class asymptoting locally to an AdS5 Gaiotto-Maldacena geometry. This solution allows for a line defect interpretation within the 4d $$ \mathcal{N} $$ N = 2 SCFT dual to this geometry, that we study in detail. We show that the defect branes, consisting on a non-trivial intersection of D2-D4-NS5-F1 branes, can be interpreted as baryon vertices within the 4d $$ \mathcal{N} $$ N = 2 SCFT, whose backreaction gives rise to the AdS2 solution. We construct the explicit quiver quantum mechanics that flows in the IR to the dual SCQM, and show that it can be embedded within the quiver CFT associated to the AdS5 solution. The quiver quantum mechanics arises from a brane box set-up of D2-branes stretched between perpendicular NS5-branes, that we construct from the AdS2 solution. We provide non-trivial checks of our proposed duality. Our construction provides one further example of the successful applications of non-Abelian T-duality to holography, in this case in providing a very non-trivial connection between AdS2 solutions, line defects and brane boxes.

show abstract

Section: Jhep02(2023)193mentioning

confidence: 94%

Section: Jhep02(2023)193mentioning

confidence: 99%

Line defects as brane boxes in Gaiotto-Maldacena geometries

Lozano

Petri

Risco

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…The non-Abelian T-dualisation of the SLp2, Rq isometry subgroup in the bosonic string sigma model on this background was recently considered in [73], where it was shown that a dual background AdS 2 ˆR ˆS3 ˆCY 2 is a solution of massive type IIA supergravity. It would certainly be of interest to generalise this example to its super-non-Abelian T-dualised counterpart, and we postpone the study of this problem to future work.…”

Section: Example: Ospp1|2q Principal Chiral Modelmentioning

confidence: 99%

Super Non-Abelian T-Duality

Bielli¹,

Penati²,

Sorokin³

et al. 2021

Preprint

View full text Add to dashboard Cite

We analyse super non-Abelian T-duality for principal chiral models, symmetric space sigma models, and semi-symmetric space sigma models for general Lie supergroups. This includes T-duality along both bosonic and fermionic directions. Specifically, super non-Abelian T-duality exchanges the Maurer-Cartan equations with the equations of motion thus mapping integrable models into integrable models. This, in turn, allows us to construct the T-dual Lax connections. As a prime example, we analyse the OSpp1|2q principal chiral model, and whilst the target superspace of this model is a three-dimensional supergravity background, we argue that its super non-Abelian T-dual falls outside the class of such backgrounds.

show abstract

“…AdS 2 with small N = (4, 0) was also considered in[37][38][39][40][41][42] 5 Consistency with a non trivial Romans mass and the presence of simple D brane and O plane sources…”

mentioning

confidence: 99%

AdS$_3\times$ S$^2$ in IIB with small ${\cal N}=(4,0)$ supersymmetry

Macpherson,

Ramirez

2022

Preprint

Self Cite

View full text Add to dashboard Cite

We consider warped AdS 3 ×S 2 ×M 5 backgrounds in type II supergravity preserving small N = (4, 0) supersymmetry. We show that imposing N = (4, 0) supersymmetry imposes between 0 and 3 a priori isometries in the internal M 5 . In this work we focus on classes of solution where M 5 exhibits no a priori isometry which imposes additional constraints. Solving these in IIA forces M 5 to support an SU(2)-structure, a class already studied in [10], while in IIB one arrives at two broad new classes with identity-structure that we reduce to local expressions for the physical fields and PDEs.

show abstract

AdS2 geometries and non-Abelian T-duality in non-compact spaces

Cited by 14 publications

References 83 publications

Line defects as brane boxes in Gaiotto-Maldacena geometries

Line defects as brane boxes in Gaiotto-Maldacena geometries

Super Non-Abelian T-Duality

AdS$_3\times$ S$^2$ in IIB with small ${\cal N}=(4,0)$ supersymmetry

Contact Info

Product

Resources

About