Topological AdS/CFT

Genolini, Pietro Benetti; Richmond, Paul; Sparks, James

doi:10.1007/jhep12(2017)039

Cited by 14 publications

(32 citation statements)

References 83 publications

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“…These discrete representations correspond to elliptic monodromies and can be identified with bulk geometries that correspond to particles with spin. 6 This too contrasts with the bosonic set-up [9].…”

Section: The Spectrummentioning

confidence: 99%

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Pure and twisted holography

Troost

2020

J. High Energ. Phys.

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We analyze a simple example of a holographically dual pair in which we topologically twist both theories. The holography is based on the two-dimensional N = 2 supersymmetric Liouville conformal field theory that defines a unitary bulk quantum supergravity theory in three-dimensional anti-de Sitter space. The supersymmetric version of three-dimensional Liouville quantum gravity allows for a topological twist on the boundary and in the bulk. We define the topological bulk supergravity theory in terms of twisted boundary conditions. We corroborate the duality by calculating the chiral configurations in the bulk supergravity theory and by quantizing the solution space. Moreover, we note that the boundary calculation of the structure constants of the chiral ring carries over to the bulk theory as well. We thus construct a topological AdS/CFT duality in which the bulk theory is independent of the boundary metric.

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Section: The Spectrummentioning

confidence: 99%

“…Indeed, the idea to twist the AdS/CFT correspondence is in the air of the times (see e.g. [4][5][6][7][8]).…”

Section: Introductionmentioning

confidence: 99%

Pure and twisted holography

Troost

2020

J. High Energ. Phys.

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“…In the above formula, h µν is the induced metric on the boundary and K is the trace of the extrinsic curvature. In the notation of [25], the bulk fields are expanded as…”

Section: Free Energymentioning

confidence: 99%

“…The AdS 5 vacua and moduli spaces for these theories were analyzed in [22]. Some recent papers studying solutions in these theories can be found in [23,24,25,26,27].…”

Section: Introductionmentioning

confidence: 99%

Holographic surface defects in D=5 , N=4 gauged supergravity

Gutperle

Vicino

2020

Phys. Rev. D

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Solutions describing holographic surface defects in D = 5, N = 4 gauged supergravity theories are constructed. It is shown that a surface defect solution in pure Romans' gauged supergravity is singular. Adding a single vector multiplet allows for the construction of a non-singular solution. The on-shell action and one point functions of operators in the presence of the defect are computed using holographic renormalization.

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“…In this way, effectively a chiral projection of the relevant Killing spinor equation becomes an equation on flat space, and it is always possible to solve it, finding a chiral constant spinor on any curved background. For superconformal field theories, the corresponding construction of the topologically twisted supersymmetric background from gauged five-dimensional supergravity has been considered in [6].…”

Section: Introductionmentioning

confidence: 99%