BPS states and automorphisms

Molins, Jordi; Simón, Joan

doi:10.1103/physrevd.62.125019

Cited by 4 publications

(7 citation statements)

References 37 publications

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“…In particular, the third one can be written as a product of the first two ones, that is, Γ 1278 = Γ 1234 Γ 1256 . Under these circumstances, as pointed out in [72] and generalised in [71], preservation of an exotic amount of supersymmetry is allowed. An explicit matrix realisation for these operators…”

Section: Conditions For ν Inmentioning

confidence: 98%

Supersymmetric Kaluza-Klein reductions of AdS backgrounds

Figueroa-O’Farrill¹,

Simón²

2004

Advances in Theoretical and Mathematical Physics

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Abstract. This paper contains a classification of smooth Kaluza-Klein reductions (by one-parameter subgroups) of the maximally supersymmetric anti de Sitter backgrounds of supergravity theories. We present a classification of one-parameter subgroups of isometries of anti de Sitter spaces, discuss the causal properties of their orbits on these manifolds, and discuss their action on the space of Killing spinors. We analyse the problem of which quotients admit a spin structure. We then apply these results to write down the list of smooth everywhere spacelike supersymmetric quotients of AdS 3 ×S 3 (×Ê 4 ), AdS 4 ×S 7 , AdS 5 ×S 5 and AdS 7 ×S 4 , and the fraction of supersymmetry preserved by each quotient. The results are summarised in tables which should be useful on their own. The paper also includes a discussion of supersymmetry of singular quotients.

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Section: Conditions For ν Inmentioning

confidence: 98%

Supersymmetric Kaluza-Klein reductions of AdS backgrounds

Figueroa-O’Farrill¹,

Simón²

2004

Advances in Theoretical and Mathematical Physics

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“…Despite the fact that exotic BPS states with n k 32 . 1 2 can also be treated algebraically as a kind of superposition of branes and antibranes [12,13], solitonic solutions are known only for BPS states that preserve a fraction n # 1 2 of supersymmetries. In this paper we propose another algebraic scheme aimed to describe the representations of M algebra, with a different choice of primary and composite objects.…”

mentioning

confidence: 99%

“…A point of view based on the study of solitonic solutions of D=11 supergravity [10,11] considers as the most elementary ones the 1 2 -BPS states describing the M2 and M5 branes, the M9 brane and the M-KK6 brane (D=11 Kaluza-Klein monopole), as well as the M-wave (M0-brane). By considering superpositions of these D=11 elementary objects (intersecting branes and branes ending on branes) one can construct k 32 -BPS D=11 supergravity solitons with k ≤ 16 (ν ≤ 1 2 ) [5,12]. Despite that exotic BPS states with ν = k 32 > 1 2 can also be treated algebraically as a kind of superposition of branes and antibranes [13,12], solitonic solutions are known only for BPS states that preserve a fraction ν ≤ 1 2 of supersymmetries.…”

mentioning

confidence: 99%

“…By considering superpositions of these D=11 elementary objects (intersecting branes and branes ending on branes) one can construct k 32 -BPS D=11 supergravity solitons with k ≤ 16 (ν ≤ 1 2 ) [5,12]. Despite that exotic BPS states with ν = k 32 > 1 2 can also be treated algebraically as a kind of superposition of branes and antibranes [13,12], solitonic solutions are known only for BPS states that preserve a fraction ν ≤ 1 2 of supersymmetries. In this paper we propose another algebraic scheme aimed to describe the representations of M-algebra, with a different choice of primary and composite objects.…”

mentioning

confidence: 99%

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BPS States in M Theory and Twistorial Constituents

Azcárraga²,

et al. 2001

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We provide a complete algebraic description of Bogomol'nyi-Prasad-Sommerfield (BPS) states in M theory in terms of primary constituents that we call BPS preons. We argue that any BPS state preserving k of the 32 supersymmetries is a composite of (32-k) BPS preons. In particular, the BPS states corresponding to the basic M2 and M5 branes are composed of 16 BPS preons. By extending the M algebra to a generalized D = 11 conformal superalgebra osp(1/64) we relate the BPS preons with its fundamental representation, the D = 11 supertwistors.

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“…The argument can be extended to any number of them. This will change the explicit saturating function in (216) (see [395]), but not the conceptual difference between the two cases outlined above. It is important to stress that just as in supergravity solving the gravitino/dilatino equations, i.e.…”

Section: Hamiltonian Formalismmentioning

confidence: 99%

Brane Effective Actions, Kappa-Symmetry and Applications

Simón

2012

Living Rev. Relativ.

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113

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This is a review on brane effective actions, their symmetries and some of their applications. Its first part covers the Green-Schwarz formulation of single M- and D-brane effective actions focusing on kinematical aspects: the identification of their degrees of freedom, the importance of world volume diffeomorphisms and kappa symmetry to achieve manifest spacetime covariance and supersymmetry, and the explicit construction of such actions in arbitrary on-shell supergravity backgrounds.Its second part deals with applications. First, the use of kappa symmetry to determine supersymmetric world volume solitons. This includes their explicit construction in flat and curved backgrounds, their interpretation as Bogomol’nyi-Prasad-Sommerfield (BPS) states carrying (topological) charges in the supersymmetry algebra and the connection between supersymmetry and Hamiltonian BPS bounds. When available, I emphasise the use of these solitons as constituents in microscopic models of black holes. Second, the use of probe approximations to infer about the non-trivial dynamics of strongly-coupled gauge theories using the anti de Sitter/conformal field theory (AdS/CFT) correspondence. This includes expectation values of Wilson loop operators, spectrum information and the general use of D-brane probes to approximate the dynamics of systems with small number of degrees of freedom interacting with larger systems allowing a dual gravitational description.Its final part briefly discusses effective actions for N D-branes and M2-branes. This includes both Super-Yang-Mills theories, their higher-order corrections and partial results in covariantising these couplings to curved backgrounds, and the more recent supersymmetric Chern-Simons matter theories describing M2-branes using field theory, brane constructions and 3-algebra considerations.

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BPS states and automorphisms

Cited by 4 publications

References 37 publications

Supersymmetric Kaluza-Klein reductions of AdS backgrounds

Supersymmetric Kaluza-Klein reductions of AdS backgrounds

BPS States in M Theory and Twistorial Constituents

Brane Effective Actions, Kappa-Symmetry and Applications

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