Dynamical symmetry enhancement near 


                                    
N


$$ \mathcal{N} $$
 = 2, D = 4 gauged supergravity horizons

Gutowski, J.; Mohaupt, Thomas; Papadopoulos, Georgios

doi:10.1007/jhep03(2017)150

Cited by 8 publications

(17 citation statements)

References 43 publications

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“…The dilatino KSE does not give any additional conditions to those already presented in (222). The Lee form that appears in the last equation of ( 222) is (227).…”

Section: Spin(7) ⋉ R 8 N =mentioning

confidence: 83%

“…The conjecture has been proven for various theories which include d = 11 [221], (massive) IIA [223,224] , IIB [222] and heterotic supergravities [225]. It has also been demonstrated for the minimal gauged N = 1 d = 5 supergravity [226], the N = 2 d = 4 gauged supergravity coupled to any number of vector fields [227] and the N = 1 d = 5 supergravity coupled to any number of vector fields [228].…”

Section: The Horizon Conjecturementioning

confidence: 87%

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Classification, geometry and applications of supersymmetric backgrounds

2019

Self Cite

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We review the remarkable progress that has been made the last 15 years towards the classification of supersymmetric solutions with emphasis on the description of the bilinears and spinorial geometry methods. We describe in detail the geometry of backgrounds of key supergravity theories, which have applications in the context of black holes, string theory, M-theory and the AdS/CFT correspondence unveiling a plethora of existence and uniqueness theorems. Some other aspects of supersymmetric solutions like the Killing superalgebras and the homogeneity theorem are also presented, and the non-existence theorem for certain smooth supergravity flux compactifications is outlined. Amongst the applications described is the proof of the emergence of conformal symmetry near black hole horizons and the classification of warped AdS backgrounds that preserve more than 16 supersymmetries.

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“…The dilatino KSE does not give any additional conditions to those already presented in (222). The Lee form that appears in the last equation of ( 222) is (227).…”

Section: Spin(7) ⋉ R 8 N =mentioning

confidence: 83%

Section: The Horizon Conjecturementioning

confidence: 87%

Classification, geometry and applications of supersymmetric backgrounds

2019

Self Cite

View full text Add to dashboard Cite

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“…In addition if N − = 0 and the near horizon geometries exhibit non-trivial fluxes, their symmetry superalgebra contains an sl (2, R) subalgebra. This conjecture has been demonstrated 1 for several theories in [2]- [6]. These include the 10-and 11-dimensional supergravities as well as the N = 2 four-and N = 1 five-dimensional (gauged) supergravities.…”

Section: Introductionmentioning

confidence: 81%

“…These are used in the proof of Lichnerowicz type theorems which are necessary to establish the horizon conjecture, see [1]- [6]. The warped AdS 2 backgrounds with the most general allowed fluxes arise as a special case of near horizon geometries.…”

Section: Fieldsmentioning

confidence: 99%

All superalgebras for warped AdS ₂ and black hole near horizon geometries

Gran

Gutowski

Papadopoulos

2019

Class. Quantum Grav.

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We identify all symmetry superalgebras g of near horizon geometries of black holes with a Killing horizon, assuming the solution is smooth and that the spatial cross section of the event horizon is compact without boundary. This includes all warped AdS 2 backgrounds with the most general allowed fluxes in 10-and 11dimensional supergravities. If the index of a particular Dirac operator vanishes, we find that the even symmetry subalgebra decomposes as g 0 = sl(2, R)⊕ t 0 , where t 0 /c is the Lie algebra of a group that acts transitively and effectively on spheres, and c is the center of g. If the Dirac operator index does not vanish, then the symmetry superalgebra is nilpotent with one even generator. We also demonstrate that there are no near horizon geometries, and also therefore no warped AdS 2 backgrounds, in 10-and 11-dimensions that preserve more than 16 supersymmetries.

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“…for near-horizon geometries in D = 11 supergravity [61], type IIB [62], type IIA [63], massive type IIA [64], uncorrected heterotic [60], minimal gauged D = 5 supergravity [65], N = 2, D = 4 gauged supergravity [66]. This led to the formulation of the horizon conjecture.…”

Section: Supersymmetric Near-horizon Geometriesmentioning

confidence: 99%

Black Horizons and Integrability in String Theory

Fontanella¹

2018

Preprint

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This thesis is devoted to the study of geometric aspects of black holes and integrable structures in string theory. In the first part, symmetries of the horizon and its bulk extension will be investigated. We investigate the horizon conjecture beyond the supergravity approximation, by considering α corrections of heterotic supergravity in perturbation theory, and show that standard global techniques can no longer be applied. A sufficient condition to establish the horizon conjecture will be identified. As a consequence of our analysis, we find a no-go theorem for AdS 2 backgrounds in heterotic theory.The bulk extension of a prescribed near-horizon geometry will then be considered in various theories. The horizon fields will be expanded at first order in the radial coordinate. The moduli space of radial deformations will be proved to be finite dimensional, by showing that the moduli must satisfy elliptic PDEs.In the second part, geometric aspects and spectral properties of integrable anti-de Sitter backgrounds will be discussed. We formulate a Bethe ansatz in AdS 2 × S 2 × T 6 type IIB superstring, overcoming the problem of the lack of pseudo-vacuum state affecting this background.In AdS 3 × S 3 × T 4 type IIB superstring, we show that the S-matrix is annihilated by the boost generator of the q-deformed Poincaré superalgebra, and interpret this condition as a parallel equation for the S-matrix with respect to a connection on a fibre bundle. This hints that the algebraic problem associated with the scattering process can be geometrically rewritten.

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Dynamical symmetry enhancement near N $$ \mathcal{N} $$ = 2, D = 4 gauged supergravity horizons

Cited by 8 publications

References 43 publications

Classification, geometry and applications of supersymmetric backgrounds

Classification, geometry and applications of supersymmetric backgrounds

All superalgebras for warped AdS ₂ and black hole near horizon geometries

Black Horizons and Integrability in String Theory

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Dynamical symmetry enhancement near N $$ \mathcal{N} $$ = 2, D = 4 gauged supergravity horizons

Cited by 8 publications

References 43 publications

Classification, geometry and applications of supersymmetric backgrounds

Classification, geometry and applications of supersymmetric backgrounds

All superalgebras for warped AdS 2 and black hole near horizon geometries

Black Horizons and Integrability in String Theory

Contact Info

Product

Resources

About

All superalgebras for warped AdS ₂ and black hole near horizon geometries