Towards a classification of branes in theories with eight supercharges

Bergshoeff, Eric; Riccioni, Fabio; Romanò, Luca

doi:10.1007/jhep05(2014)070

Cited by 9 publications

(40 citation statements)

References 71 publications

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“…In a series of papers, the full classification of 1/2-BPS branes in type-II string theory compactified on a torus was achieved by analysing the supersymmetry of the corresponding brane effective action [39][40][41]44], while the connection of this analysis with specific group theory properties of such branes was shown in [42,43]. This classification was also extended to theories with less supersymmetry in [64][65][66][67]. In the following, we will first review the basic results of this classification and we will then derive a universal T-duality transformation rule for any brane in string theory, which will give in particular the IIA branes that are related by duality to the S-dual of the D7-brane in our model, together with additional branes in IIB that must be included for consistency.…”

Section: T-duality Rules and Exotic Branesmentioning

confidence: 99%

P fluxes and exotic branes

Lombardo

Riccioni

Risoli

2016

J. High Energ. Phys.

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Abstract:We consider the N = 1 superpotential generated in type-II orientifold models by non-geometric fluxes. In particular, we focus on the family of P fluxes, that are related by T-duality transformations to the S-dual of the Q flux. We determine the general rule that transforms a given flux in this family under a single T-duality transformation. This rule allows to derive a complete expression for the superpotential for both the IIA and the IIB theory for the particular case of a T 6 /[Z 2 × Z 2 ] orientifold. We then consider how these fluxes modify the generalised Bianchi identities. In particular, we derive a fully consistent set of quadratic constraints coming from the NS-NS Bianchi identities. On the other hand, the P flux Bianchi identities induce tadpoles, and we determine a set of exotic branes that can be consistently included in order to cancel them. This is achieved by determining a universal transformation rule under T-duality satisfied by all the branes in string theory.

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Section: T-duality Rules and Exotic Branesmentioning

confidence: 99%

P fluxes and exotic branes

Lombardo

Riccioni

Risoli

2016

J. High Energ. Phys.

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“…In the case of non-split groups, one has actually to impose the additional requirement that the long weight is real, where the reality properties are defined by the Tits-Satake procedure[29].…”

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confidence: 99%

Wrapping rules (in) string theory

Bergshoeff

Riccioni

2018

J. High Energ. Phys.

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In this paper we show that the number of all 1/2-BPS branes in string theory compactified on a torus can be derived by universal wrapping rules whose formulation we present. These rules even apply to branes in less than ten dimensions whose tendimensional origin is an exotic brane. In that case the wrapping rules contain an additional combinatorial factor that is related to the highest dimension in which the ten-dimensional exotic brane, after compactification, can be realized as a standard brane. We show that the wrapping rules also apply to cases with less supersymmetry. As a specific example, we discuss the compactification of IIA/IIB string theory on (T 4 /Z 2 ) × T n .

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“…Half-supersymmetric branes are solutions preserving the maximum amount of supersymmetry and they serve also as building blocks for less supersymmetric solutions. It has been found [26,28] play a prominent role also in the classification of U-duality orbits [26,28,29]. It should be remarked that the length in this case is computed with respect to the U-duality algebra and thus it does not correspond in general to the length in E 11 .…”

Section: Weightmentioning

confidence: 92%

“…Vector GL(2, R) rep Dynkin labels Looking in perspective to brane solutions in maximal supergravity the analysis of differential forms is crucial since a p-brane is charged with respect to (p + 1)-forms. This link induces an algebraic characterization for the 1/2-BPS solutions [26,28]. Half-supersymmetric branes are solutions preserving the maximum amount of supersymmetry and they serve also as building blocks for less supersymmetric solutions.…”

Section: Weightmentioning

confidence: 99%

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Branes and polytopes

Romanò¹

2019

J. Phys. A: Math. Theor.

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We investigate the hierarchies of half-supersymmetric branes in maximal supergravity theories. By studying the action of the Weyl group of the U-duality group of maximal supergravities we discover a set of universal algebraic rules describing the number of independent 1/2-BPS p-branes, rank by rank, in any dimension. We show that these relations describe the symmetries of certain families of uniform polytopes. This induces a correspondence between half-supersymmetric branes and vertices of opportune uniform polytopes. We show that half-supersymmetric 0-, 1-and 2-branes are in correspondence with the vertices of the k 21 , 2 k1 and 1 k2 families of uniform polytopes, respectively, while 3-branes correspond to the vertices of the rectified version of the 2 k1 family. For 4-branes and higher rank solutions we find a general behavior. The interpretation of halfsupersymmetric solutions as vertices of uniform polytopes reveals some intriguing aspects. One of the most relevant is a triality relation between 0-, 1-and 2-branes. A Polytopes 30B Petrie Polygons 30

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Towards a classification of branes in theories with eight supercharges

Cited by 9 publications

References 71 publications

P fluxes and exotic branes

P fluxes and exotic branes

Wrapping rules (in) string theory

Branes and polytopes

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