AdS$_2$ near-horizons, defects and string dualities

Spectral flow in two-dimensional superconformal field theories is known to correspond to a geometrical mixing between two circles in the gravity dual. We generalize this operation to the geometries which have SO(k+1)×SO(k+1) isometries with k > 1 and perform various non-abelian T-dualities of the resulting twisted backgrounds. Combination of non-abelian twists and dualities leads to a new solution generating technique in supergravity, and we apply it to the geometries dual to supersymmetric states in $$\mathcal{N}$$ = 4 super-Yang-Mills theory.

Section: Jhep03(2024)102mentioning

confidence: 99%

Geometries with twisted spheres and non-abelian T-dualities

Lunin,

Shah

2024

“…More recently, inspired by [3], NATD has been generalised to the case of non-compact groups [30], where an AdS 2 solution was obtained as a by-product of the dualisation process. Nowadays, the studies involving AdS 2 geometries are motivated by developments in black hole physics and as AdS duals of strongly coupled fields theories [31][32][33][34][35][36][37][38][39], including the holographic description of one dimensional defects [40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

JT gravity from non-Abelian T-duality

Bielli,

Penati,

Ramirez

2024

We study the geometries obtained by performing super non-Abelian T-duality of the Principal Chiral Model on OSp(1|2). While the initial model represents an appropriate 3D supergravity background, interpretable as the superspace version of AdS3, the T-dual model fails solving the 3D supergravity torsion constraints. We argue that this has to do with a factorisation pattern taking place under dualisation: the dual 3D geometry can be rewritten as the supersymmetric version of AdS2, satisfying the supergravity constraints, fibered over what we interpret as the superspace equivalent of the standard bosonic line. We discuss an interesting connection between T-duals of generic Principal Chiral Models and Poisson sigma models. We exploit it to show that in a suitable limit the dual action studied in this work gives rise to JT (super)gravity.

“…Holographically the associated divergence of the central charge (or free energy) is absorbed when the non-compact coordinate becomes part of the higher dimensional AdS space. This approach to the study of defects has been very fruitful, with substantial amount of work being devoted to identifying low dimensional AdS solutions dual to defect CFTs in recent years [1,[7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. Interestingly, in some of these…”

Section: Introductionmentioning

confidence: 99%

Line defects as brane boxes in Gaiotto-Maldacena geometries

Lozano

Petri

Risco

2023

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.