Boundary terms unbound! Holographic renormalization of asymptotically linear dilaton gravity

Mann, Robert B.; McNees, Robert

doi:10.1088/0264-9381/27/6/065015

Cited by 19 publications

(30 citation statements)

References 49 publications

(190 reference statements)

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“…This result matches with (138) in [56], where the mass was obtained from an approach of Brown and York [27] as well as of Hawking and Horowitz [57]. See also (6.17) of [58], where another approach was used.…”

Section: Linear Dilaton Backgroundsupporting

confidence: 84%

O(D, D) covariant Noether currents and global charges in double field theory

Park

Rey

Rim

et al. 2015

J. High Energ. Phys.

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Double field theory is an approach for massless modes of string theory, unifying and geometrizing all gauge invariance in manifest O(D, D) covariant manner. In this approach, we derive off-shell conserved Noether current and corresponding Noether potential associated with unified gauge invariance. We add Wald-type counter two-form to the Noether potential and define conserved global charges as surface integral. We check our O(D, D) covariant formula against various string backgrounds, both geometric and non-geometric. In all cases we examined, we find perfect agreements with previous results. Our formula facilitates to evaluate momenta along not only ordinary spacetime directions but also dual spacetime directions on equal footing. From this, we confirm recent assertion that null wave in doubled spacetime is the same as macroscopic fundamental string in ordinary spacetime.

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Section: Linear Dilaton Backgroundsupporting

confidence: 84%

O(D, D) covariant Noether currents and global charges in double field theory

Park

Rey

Rim

et al. 2015

J. High Energ. Phys.

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“…Previously, three counter terms (different from ours) with undetermined coefficients were considered in the context of linear dilaton gravity [37]. For a certain value of dilaton coupling, one of the coefficient remains unfixed for a well defined variational problem.…”

Section: On-shell Actionmentioning

confidence: 95%

Holographic renormalization of Einstein-Maxwell-Dilaton theories

Kim

2016

J. High Energ. Phys.

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We generalize the boundary value problem with a mixed boundary condition that involves the gauge and scalar fields in the context of Einstein-Maxwell-Dilaton theories. In particular, the expectation value of the dual scalar operator can be a function of the expectation value of the current operator. The properties are prevalent in a fixed charge ensemble because the conserved charge is shared by both fields through the dilaton coupling, which is also responsible for non-Fermi liquid properties. We study the on-shell action and the stress energy tensor to note practical importances of the boundary value problem. In the presence of the scalar fields, physical quantities are not fully fixed due to the finite boundary terms that manifest in the massless scalar or the scalar with mass saturating the Breitenlohner-Freedman bound.

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“…The letter are deformations of the Maldacena-dilaton (ALD) backgrounds. Recall that the linear dilaton behavior φ ∼ z refers actually to a different coordinate system (in string frame) than the conventional one (in Einstein frame), used in [30] to establish the holographic renormalization of ALD backgrounds.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…For comparison of the two systems, see for example [31]. In the coordinate system of [30], that is relevant for us, the asymptotic behavior of the dilaton is φ ∼ c 1 ln z + c 2 + ... , where c 1,2 = const. Now, for the walking solutions of [18] the dilaton is constant, while it is zero here.…”

Section: Summary and Discussionmentioning

confidence: 99%

De Sitter space in gauge/gravity duality

2015

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We investigate gauge/gravity duality for gauge theories in de Sitter space.More precisely, we study a five-dimensional consistent truncation of type IIB supergravity, which encompasses a wide variety of gravity duals of strongly coupled gauge theories, including the Maldacena-Nunez solution and its walking deformations. We find several solutions of the 5d theory with dS 4 spacetime and nontrivial profiles for (some of) the scalars along the fifth (radial) direction. In the process, we prove that one of the equations of motion becomes dependent on the others, for nontrivial warp factor. This dependence reduces the number of field equations and, thus, turns out to be crucial for the existence of solutions with (A)dS 4 spacetime. Finally, we comment on the implications of our dS 4 solutions for building gravity duals of Glueball Inflation.August 21, 2018 1 anguelova@inrne.bas.bgSince the astronomical observations of [1] indicated that the expansion of the Universe is accelerating at present, which is consistent with having a (small, but non-vanishing) positive cosmological constant, there has been a huge interest in understanding quantum field theory in de Sitter space [2], as well as in finding dS solutions in string compactifications with stabilized moduli [3]. However, despite recent progress in either topic, these are still rather difficult endeavors. This has motivated a search for alternative approaches in the vein of attempts to develop holographic descriptions of physics in de Sitter space via proposed dS/CFT [4] or dS/dS [5] correspondences. 4 4 In this "dS/dS" correspondence the relation is between a dS d space and a CFT on a dS d−1 space. 1The most promising direction, though, for studying nonperturbative effects in gauge theories living in de Sitter space is via extensions of the gauge/gravity duality, that arose from [6,7,8,9], with a curved 4d spacetime instead of a flat one. This kind of idea was explored in [10], where a solution of type IIB supergravity with a Wick rotated RR scalar was used. 5 The ten-dimensional metric of that solution has a 4d de Sitter part, that can be viewed as the spacetime for a certain gauge theory. The same truncation of type IIB, with Wick rotated RR scalar, was also utilized in [14] to study more involved 4d cosmological backgrounds. However, this solution is rather peculiar, due to its reliance on a Wick rotated 10d field.Our goal here will be to find solutions with a dS 4 spacetime within the framework of the five-dimensional consistent truncation of type IIB, established in [15], that describes the gravity duals of a broad class of confining gauge theories. In particular, this framework encompasses the Maldacena-Nunez [16] and Klebanov-Strassler [17] solutions, which provide gravitational duals to N = 1 SYM, as well as the more recently found solutions [18,19,20], which give duals to strongly coupled gauge theories with more than one dynamical scale.We will study the equations of motion of the effective 5d action relevant for the consistent truncation of [15]. We will...

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Boundary terms unbound! Holographic renormalization of asymptotically linear dilaton gravity

Cited by 19 publications

References 49 publications

O(D, D) covariant Noether currents and global charges in double field theory

O(D, D) covariant Noether currents and global charges in double field theory

Holographic renormalization of Einstein-Maxwell-Dilaton theories

De Sitter space in gauge/gravity duality

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