G-Structures and Wrapped NS5-Branes
By J. Gauntlett, D. Martelli, Stathis Pakis, D. Waldram. 2002
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We analyse the geometrical structure of supersymmetric solutions of type II supergravity of the form 1,9−n×Mn with non-trivial NS flux and dilaton. Solutions of this type arise naturally as the near-horizon limits of wrapped NS fivebrane geometries. We concentrate on the case d=7, preserving two or four supersymmetries, corresponding to branes wrapped on associative or SLAG three-cycles. Given the existence of Killing spinors, we show that M7 admits a G2-structure or an SU(3)-structure, respectively, of specific type. We also prove the converse result. We use the existence of these geometric structures as a new technique to derive some known and new explicit solutions, as well as a simple theorem implying that we have vanishing NS three-form and constant dilaton whenever M7 is compact with no boundary. The analysis extends simply to other type II examples and also to type I supergravity.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/6b60b1442ebd2ba35c8997aaafc8ab08f363e3fc
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Citations in the corpus
- The geometry of D = 11 Killing spinors (2002, background): “Keywords: M-Theory, Supergravity Models, Differential and Algebraic Geometry. c© SISSA/ISAS 2003 http://jhep.sissa.it/archive/papers/jhep042003039/jhep042003039.pdf J H E P 0 4 ( 2 0 0 3 ) 0 3 9 Contents”
- Flux compactifications in string theory: A Comprehensive review (2005, background): “7)) yield restrictive no-go theorems that under quite general conditions rule out warped compactifications to Minkowski or de Sitter spaces in the presence of fluxes [27, 105, 21, 42, 46].”
- BPS Action and Superpotential for Heterotic String Compactifications with Fluxes (2003, methodology): “able at present. An educated guess for the superpotential2, which we will argue 1Group structures as a tool to classify and construct new solutions to supergravity and string theory were first used in [28] and then also in [29, 36, 37, 39, 42, 43, 46, 50] in connection with flux compactifications. 2The”
- G structures, fluxes and calibrations in M theory (2003, methodology): “In [1] it has been recognised that the notion of G-structures and their intrinsic torsion provides a powerful technique for studying Killing spinor equations in the presence of fluxes.”
- Supersymmetric AdS5 solutions of M-theory (2004, background): “The utility of G-structures for analysing supersymmetric solutions was first advocated in [13]; for related developments in various string/M-theory settings see [18–29].”
- A scan for new N = 1 vacua on twisted tori (2006, methodology): “9), as shown in [23] for the specific situation of flux H on internal manifolds with G–structure, and as we are going to see shortly in full generality.”
- Supersymmetric AdS(4) compactifications of IIA supergravity (2004, background): “There is already a considerable amount of literature on the subject, see [19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34] for an inexhaustive list of references.”
- Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus (2007, methodology): “The method of bilinears in the Killing spinors, pioneered in [40], is not needed here, and the corresponding results will be derived systematically from the reduced BPS equations instead.”
- Superstrings with intrinsic torsion (2003, methodology): “In this paper we will not explicitly present many detailed proofs since the arguments follow the same lines as those in [8, 6], and also because we do not want to obscure the main results.”
- Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, background): “More and also subsequent work on that subject can be found in [142, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541].”
- All supersymmetric solutions of minimal supergravity in five- dimensions (2002, methodology): “A key idea of [12, 13] is to relate supersymmetric solutions to different kinds of G-structures and we will discuss this relationship for D = 5.”