BPS domain walls in $ \mathcal{N}=4 $ supergravity and dual flows

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We study holographic renormalization group flows from four-dimensional N = 2 SCFTs to either N = 2 or N = 1 SCFTs. Our approach is based on the framework of five-dimensional half-maximal supergravity with general gauging, which we use to study domain wall solutions interpolating between different supersymmetric AdS 5 vacua. We show that a holographic RG flow connecting two N = 2 SCFTs is only possible if the flavor symmetry of the UV theory admits an SO(3) subgroup. In this case the ratio of the IR and UV central charges satisfies a universal relation which we also establish in field theory. In addition we provide several general examples of holographic flows from N = 2 to N = 1 SCFTs and relate the ratio of the UV and IR central charges to the conformal dimension of the operator triggering the flow. Instrumental to our analysis is a derivation of the general conditions for AdS vacua preserving eight supercharges as well as for domain wall solutions preserving eight Poincaré supercharges in half-maximal supergravity.

Section: Conditions For Flows With Eight Poincaré Superchargesmentioning

confidence: 89%

Section: Supersymmetric Domain Wallsmentioning

confidence: 99%

Section: Supersymmetric Domain Wallsmentioning

confidence: 99%

Section: Jhep06(2018)086mentioning

confidence: 99%

See 2 more Smart Citations

Holographic RG flows for four-dimensional $$ \mathcal{N}=2 $$ SCFTs

Bobev

Triendl

2018

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“…It is known that the lightness of the scalar is related to a large VEV of a dimension-six operator, it is known that this is also related to the fact that the gravity dual exhibits hyperscaling violation over some finite range of the radial direction, and it is known that such a dimension-six operator is present in vast classes of gravity duals (see for instance [104,105]). …”

Section: Jhep05(2014)003mentioning

confidence: 99%

Multiscale confining dynamics from holographic RG flows

Elander

Faedo

Hoyos

et al. 2014

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108

We consider renormalization group flows between conformal field theories in five (six) dimensions with a string (M-theory) dual. By compactifying on a circle (torus) with appropriate boundary conditions, we obtain continuous families of confining fourdimensional theories parametrized by the ratio Λ flow /Λ QCD , with Λ flow the scale at which the flow between fixed points takes place and Λ QCD the confinement scale. We construct the dual geometries explicitly and compute the spectrum of scalar bound states (glueballs). We find a 'universal' subset of states common to all the models. We comment on the modifications of these models, and the corresponding fine-tuning, required for a parametrically light 'dilaton' state to be present. We also comment on some aspects of these theories as probed by extended objects such as strings and branes.

Partial supergravity breaking and the effective action of consistent truncations

Grimm

Kapfer

Lüst

2015

We study vacua of N = 4 half-maximal gauged supergravity in five dimensions and determine crucial properties of the effective theory around the vacuum. The main focus is on configurations with exactly two broken supersymmetries, since they frequently appear in consistent truncations of string theory and supergravity. Evaluating one-loop corrections to the Chern-Simons terms we find necessary conditions to ensure that a consistent truncation also gives rise to a proper effective action of an underlying more fundamental theory. To obtain concrete examples, we determine the N = 4 action of M-theory on six-dimensional SU(2)-structure manifolds with background fluxes. CalabiYau threefolds with vanishing Euler number are examples of SU(2)-structure manifolds that yield N = 2 Minkowski vacua. We find that that one-loop corrections to the Chern-Simons terms vanish trivially and thus do not impose constraints on identifying effective theories. This result is traced back to the absence of isometries on these geometries. Examples with isometries arise from type IIB supergravity on squashed Sasaki-Einstein manifolds. In this case the one-loop gauge Chern-Simons terms vanish due to non-trivial cancellations, while the one-loop gravitational Chern-Simons terms are non-zero.