Spin-2 excitations in Gaiotto-Maldacena solutions

Ίτσιος, Γεώργιος; Penín, José Manuel; Zacarías, Salomón

doi:10.1007/jhep10(2019)231

Cited by 13 publications

(27 citation statements)

References 52 publications

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“…Upon fixing one of the quantum numbers (q = 1) we are finally able to solve the massive graviton equation analytically considering the effects of the γ-deformation upto leading order in the perturbative expansion. Contrary to the undeformed case [22], we notice that the effect of the γ-deformation is to change the spectrum of zero (as well as non zero) modes from discrete to continuous. These modes are associated to the ψ-direction of the internal manifold which turns out to be non-compact and in particular unbounded in the presence of the γ-deformation.…”

contrasting

confidence: 64%

“…Following the algorithm as in [22], we express the γ-deformed metric (2.1) (apart from the usual conformal factor) as sum of the AdS 5 factor and a five-dimensional internal space M γ 5 in the Einstein frame as…”

Section: Perturbationsmentioning

confidence: 99%

“…For a massive graviton of mass M propagating in AdS 5 , one satisfies the Bachas Estes equation [17][18][19][20][21][22][23][24] of the form…”

Section: Perturbationsmentioning

confidence: 99%

“…These modes are associated to the ψ-direction of the internal manifold which turns out to be non-compact and in particular unbounded in the presence of the γ-deformation. However, for the ATD model, this turns out to be an isometry direction in the absence of any deformation [22].…”

mentioning

confidence: 98%

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Spin $ 2 $ spectrum for marginal deformations of 4d $ \mathcal{N}=2 $ SCFTs

Roychowdhury¹,

Roychowdhury²

2023

Preprint

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We compute spin 2 spectrum associated with massive graviton fluctuations in γ-deformed Gaiotto-Maldacena background those are holographically dual to marginal deformations of N = 2 SCFTs in four dimensions. Under the special circumstances, we analytically estimate the spectra both for the γ-deformed Abelian T dual (ATD) as well as the non-Abelian T dual (NATD) cases where we retain ourselves upto leading order in the deformation parameter. Our analysis reveals a continuous spectra which is associated with the breaking of the U (1) isometry (along the directions of the internal manifold) in the presence of the γ-deformation. We also comment on the effects of adding flavour branes into the picture and the nature of the associated spin 2 operators in the dual N = 1 SCFTs.

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contrasting

confidence: 64%

Section: Perturbationsmentioning

confidence: 99%

“…For a massive graviton of mass M propagating in AdS 5 , one satisfies the Bachas Estes equation [17][18][19][20][21][22][23][24] of the form…”

Section: Perturbationsmentioning

confidence: 99%

mentioning

confidence: 98%

See 2 more Smart Citations

Spin $ 2 $ spectrum for marginal deformations of 4d $ \mathcal{N}=2 $ SCFTs

Roychowdhury¹,

Roychowdhury²

2023

Preprint

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“…This strategy has been applied succesfully in e.g. [111,112,113,114,115,116,117,118,119] for the case of four-, five-and sixdimensional SCFTs. We will follow a similar path for the case of a warped AdS 3 .…”

Section: Introductionmentioning

confidence: 99%

Aspects of gauge/string dualities

Speziali¹

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In this thesis we investigate on the role that dualities play nowadays in our under-standing of string and Quantum Field Theories.The ﬁrst part is devoted to holographic dualities, where the case of the string dual of certain one-, two- and four dimensional ﬁeld theories is explored in detail. We begin in Chapter 1 by discussing the holographic dual of a broad class of four-dimensional ﬁeld theories. We specialise to the case of quiver ﬁeld theories where a number of formulas computing charges, number of branes and Linking Numbers are given. We then introduce marginal deformations in the supergravity backgrounds to uncover inﬁnite new families of solutions to type II supergravity and M-theory. In Chapter 2, we discuss spin 2 ﬂuctuations around a class of warped AdS3 backgrounds. We identify explicitly the dual operators of a given protected sector. Also, a formula for the central charge of the dual two-dimensional ﬁeld theories is derived. In Chapter 3, we introduce two new classes of geometries with an AdS2 factor. We outline the importance to black hole physics and in one case give a prescription for the dual ﬁeld theories.The second part is devoted to QFT/QFT dualities in Chern-Simons theories, and how dualities between Chern-Simons theories in three dimensions can be motivated in string theory. It is found that a known duality between three-dimensional Chern-Simons theories with unitary gauge symmetry can be motivated by a brane setup in Type 0B string theory with an orientifold. In particular, the phase diagram of unitary QCD3 is inferred from a dual theory.

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Matrix model correlators from non-Abelian T-dual of AdS5 × S5

Roychowdhury

2024

J. High Energ. Phys.

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We study various perturbations and their holographic interpretation for non-Abelian T-dual of AdS5 × S5 where the T-duality is applied along the SU(2) of AdS5. This paper focuses on two types of perturbations, namely the scalar and the vector fields on NATD of AdS5 × S5. For scalar perturbations, the corresponding solutions could be categorised into two classes. For one of these classes of solutions, we build up the associated holographic dictionary where the asymptotic radial mode sources scalar operators for the (0 + 1)d matrix model. These scalar operators correspond to either a marginal or an irrelevant deformation of the dual matrix model at strong coupling. We calculate the two point correlation between these scalar operators and explore their high as well as low frequency behaviour. We also discuss the completion of these geometries by setting an upper cut-off along the holographic axis and discuss the corresponding corrections to the scalar correlators in the dual matrix model. Finally, we extend our results for vector perturbations where we obtain asymptotic solutions for a particular class of modes. These are further used to calculate the boundary charge density at finite chemical potential.

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Spin-2 excitations in Gaiotto-Maldacena solutions

Cited by 13 publications

References 52 publications

Spin $ 2 $ spectrum for marginal deformations of 4d $ \mathcal{N}=2 $ SCFTs

Spin $ 2 $ spectrum for marginal deformations of 4d $ \mathcal{N}=2 $ SCFTs

Aspects of gauge/string dualities

Matrix model correlators from non-Abelian T-dual of AdS5 × S5

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