Chern-Simons vortices in supergravity

Abou-Zeid, Mohab; Samtleben, Henning

doi:10.1103/physrevd.65.085016

Cited by 13 publications

(23 citation statements)

References 35 publications

(90 reference statements)

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“…Later the charged, stationary generalizations of these strings superposed with gravitational and Chern-Simons electromagnetic waves were obtained in [5]. Another class of solutions representing vortices were found in [6], where the model we consider was modified with a Fayet-Iliopoulos term. This changes the potential so that only topological solitons, by which we mean smooth solutions that interpolate between AdS and Minkowski vacua, are allowed.…”

Section: Introductionmentioning

confidence: 94%

Supersymmetric Strings and Waves inD=3,N=2 Matter Coupled Gauged Supergravities

Deger¹,

Sarıoğlu²

2004

J. High Energy Phys.

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We construct new 1/2 supersymmetric solutions in D = 3, N = 2, matter coupled, U(1) gauged supergravities and study some of their properties. We do this by employing a quite general supersymmetry breaking condition, from which we also redrive some of the already known solutions. Among the new solutions, we have an explicit non-topological soliton for the non-compact sigma model, a locally flat solution for the compact sigma model and a string-like solution for both types of sigma models. The last one is smooth for the compact scalar manifold.

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Section: Introductionmentioning

confidence: 94%

Supersymmetric Strings and Waves inD=3,N=2 Matter Coupled Gauged Supergravities

Deger¹,

Sarıoğlu²

2004

J. High Energy Phys.

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“…The first examples of such theories were studied in [50][51][52] and then generalized in a systematic approach [53] (see [54] for a nice summary). Below we explore the phase structure of such theories in a way that parallels the study of abelian N = 2 gauge theories in two dimensions [30].…”

Section: Phases Of 3d N = 2 Gauged Supergravitymentioning

confidence: 99%

Counting RG flows

Gukov

2016

J. High Energ. Phys.

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Interpreting renormalization group flows as solitons interpolating between different fixed points, we ask various questions that are normally asked in soliton physics but not in renormalization theory. Can one count RG flows? Are there different "topological sectors" for RG flows? What is the moduli space of an RG flow, and how does it compare to familiar moduli spaces of (supersymmetric) dowain walls? Analyzing these questions in a wide variety of contexts -from counting RG walls to AdS/CFT correspondence -will not only provide favorable answers, but will also lead us to a unified general framework that is powerful enough to account for peculiar RG flows and predict new physical phenomena. Namely, using Bott's version of Morse theory we relate the topology of conformal manifolds to certain properties of RG flows that can be used as precise diagnostics and "topological obstructions" for the strong form of the C-theorem in any dimension. Moreover, this framework suggests a precise mechanism for how the violation of the strong C-theorem happens and predicts "phase transitions" along the RG flow when the topological obstruction is non-trivial. Along the way, we also find new conformal manifolds in well-known 4d CFT's and point out connections with the superconformal index and classifying spaces of global symmetry groups.

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“…Supersymmetric black string solutions of matter coupled N = 2, D = 3 gauged supergravity exists in which only a single dilaton is activated in the Kahler sigma model sector [30]. In such models, supersymmetric solutions with the additional axionic scalars activated, have also been found [31,32,33]. Finally, conditions for Killing spinors and general form of the supersymmetric solutions in matter coupled gauged supergravities in N = 2, D = 5 supergravities have also been investigated [34] but no specific solutions with multi-hyperscalars activated seem to have appeared.…”

Section: Introductionmentioning

confidence: 99%

6Ddyonic string with active hyperscalars

Jong

Kaya

Sezgin

2006

J. High Energy Phys.

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We derive the necessary and sufficient conditions for the existence of a Killing spinor in N = (1, 0) gauge supergravity in six dimensions coupled to a single tensor multiplet, vector multiplets and hypermultiplets. These are shown to imply most of the field equations and the remaining ones are determined. In this framework, we find a novel 1/8 supersymmetric dyonic string solution with nonvanishing hypermultiplet scalars. The activated scalars parametrize a 4 dimensional submanifold of a quaternionic hyperbolic ball. We employ an identity map between this submanifold and the internal space transverse to the string worldsheet. The internal space forms a 4 dimensional analog of the Gell-Mann-Zwiebach tear-drop which is noncompact with finite volume. While the electric charge carried by the dyonic string is arbitrary, the magnetic charge is fixed in Planckian units, and hence necessarily non-vanishing. The source term needed to balance a delta function type singularity at the origin is determined. The solution is also shown to have 1/4 supersymmetric AdS 3 × S 3 near horizon limit where the radii are proportional to the electric charge.• to lay out the framework for finding further solutions which, in turn, may lead to new solutions in other theories of interest that live in diverse dimensions,• to establish the fact that (dyonic) string solution exists in a more general situation than so far that has been known, in the sense that new type of fields, to wit, hyperscalars, have been activated, and

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Chern-Simons vortices in supergravity

Cited by 13 publications

References 35 publications

Supersymmetric Strings and Waves inD=3,N=2 Matter Coupled Gauged Supergravities

Supersymmetric Strings and Waves inD=3,N=2 Matter Coupled Gauged Supergravities

Counting RG flows

6Ddyonic string with active hyperscalars

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