Super non-Abelian T-duality

Bielli, Daniele; Penati, Silvia; Sorokin, Dmitri; Wolf, Martin

doi:10.1016/j.nuclphysb.2022.115904

Cited by 7 publications

(8 citation statements)

References 56 publications

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“…It should be noted that here although the duality is performed along the coset G/H, the parity of the dual theory is governed by dim(G) rather than the dim(G/H). Some recent applications of NATD can be found in [96][97][98][99][100].…”

Section: Jhep03(2024)102mentioning

confidence: 99%

Geometries with twisted spheres and non-abelian T-dualities

Lunin,

Shah

2024

J. High Energ. Phys.

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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.

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Section: Jhep03(2024)102mentioning

confidence: 99%

Geometries with twisted spheres and non-abelian T-dualities

Lunin,

Shah

2024

J. High Energ. Phys.

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“…On the other hand, integrating out the gauge fields we obtain the T-dual sigma model in which the Lagrange multipliers play the role of background coordinates. Its action can be written in the form [74,76]…”

Section: Jhep06(2024)148mentioning

confidence: 99%

“…For the sAdS 3 model, SNATD was developed in [74,75] dualising either the full left sector OSp(1|2) L of the isometry group, or on its maximal bosonic subgroup SL(2, R) L . It turns out that the dual model has no longer the interpretation of a supergravity background in 3D superspace, as one lands on a dual sigma model which does not satisfy the supergravity torsion constraints.…”

Section: Jhep06(2024)148mentioning

confidence: 99%

“…In the next subsection we briefly revisit the results of [74,75] for the dual metric and B field, both for the OSp(1|2) L and SL(2, R) L dualisations, re-expressing them in a set of coordinates that is more suitable for the subsequent discussion on the geometric structure of the dual supermanifold. We will adopt vector notation, as done in [75]. A summary of conventions can be found in appendix A.…”

Section: Jhep06(2024)148mentioning

confidence: 99%

“…The idea of extending the Abelian dualisation procedure to the case of backgrounds enjoying commuting superisometries was introduced in [46,47] and further developed in [48][49][50][51][52][53][54] -see also [55] for previous related work and [56] for a review. In recent years, it has led to various non-Abelian generalisations, formulated in terms of BRST techniques [57], super Poisson-Lie symmetry [58][59][60][61][62][63][64][65], Double Field Theory formalism [66][67][68][69], as well as manifestly supersymmetric generalizations of the NATD technique of de la Ossa and Quevedo [70][71][72][73][74][75][76],…”

Section: Introductionmentioning

confidence: 99%

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JT gravity from non-Abelian T-duality

Bielli,

Penati,

Ramirez

2024

J. High Energ. Phys.

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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.

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On Super Non-Abelian T-Duality of Symmetric and Semi-Symmetric Coset Sigma Models

Bielli

2024

MATRIX Book Series

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Super non-Abelian T-duality

Cited by 7 publications

References 56 publications

Geometries with twisted spheres and non-abelian T-dualities

Geometries with twisted spheres and non-abelian T-dualities

JT gravity from non-Abelian T-duality

On Super Non-Abelian T-Duality of Symmetric and Semi-Symmetric Coset Sigma Models

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