Fivebranes wrapped on SLAG three-cycles and related geometry

By J. Gauntlett, Nakwoo Kim, D. Martelli, D. Waldram. 2001

219 citations recorded by the source corpus.

We construct ten-dimensional supergravity solutions corresponding to the near horizon limit of IIB fivebranes wrapping special lagrangian three-cycles of constant curvature. The case of branes wrapping a three-sphere provides a gravity dual of pure = 2 super--Yang-Mills theory in D = 3. The non-trivial part of the solutions are seven manifolds that admit two G2 structures each of which is covariantly constant with respect to a different connection with torsion. We derive a formula for the generalised calibration for this general class of solutions. We discuss analogous aspects of the geometry that arises when fivebranes wrap other supersymmetric cycles which lead to Spin(7) and SU(N) structures. In some cases there are two covariantly constant structures and in others one.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d828778af5a550c6c08fc68bab7785416a11532c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. M. Graña
2. D. Waldram
3. D. Martelli
4. J. Gauntlett
5. D. Lust
6. J. Louis
7. Harvey Reall
8. L. Martucci

In Nuclear and High Energy Physics

1. D. Waldram
2. M. Graña
3. D. Lust
4. D. Martelli
5. J. Gauntlett
6. J. Sparks
7. C. Nuñez
8. Paul Koerber

In Statistical and Nonlinear Physics

1. D. Waldram
2. J. Gauntlett
3. D. Martelli
4. M. Graña
5. D. Lust
6. C. Nuñez
7. Harvey Reall
8. J. Gutowski

Citations in the corpus

• Mirror symmetry in generalized Calabi–Yau compactifications ☆ (2002, background): “fined SU(3)-invariant spinor exists. Manifolds with this property have been discussed in the mathematics and physics literature and are known as manifolds with SU(3) structure (see, for example, refs. [34,35,36,37,38,39,19,20,40,41,42,43]). They admit an almost complex structure J, a metric gwhich is”
• All supersymmetric solutions of minimal supergravity in five- dimensions (2002, methodology): “Following [ 12 , 13], the basic strategy is to assume the existence of at least one Killing”
• Parallel spinors and connections with skew-symmetric torsion in string theory (2001, unknown): “if the G2-structure is of pure type Λ0 1 or Λ 3 27. Another distinguished class is Λ1 7 ⊕Λ327 . The torsion is given by T = − ∗ dω3 +∗(β ∧ω3). Examples of this type with dβ = 0 have been discussed in [25] in connection with type II B string solutions1. The last class of G2-structures we want to emph”
• BPS Action and Superpotential for Heterotic String Compactifications with Fluxes (2003, background): “three–form Honto the almost complex structure Jwhich was derived from the vanishing of the supersymmetry transformations. Indeed, on a complex manifold, and using (2.23), the following identity holds [69], H= − 1 2 ⋆e−8φ d(e8φ J) = 1 2 i(∂− ∂¯)J. (2.24) Let us now show that the linear term does not ”
• Supersymmetric D-branes and calibrations on general Script N = 1 backgrounds (2005, background): “This correspondence between background supersymmetry conditions and generalized calibrations has been extensively discussed in [ 29 ] and we see here how it works perfectly in the cases we have considered.”
• Killing spinor equations in dimension 7 and geometry of integrable G2-manifolds (2001, methodology): “. 8 THOMAS FRIEDRICH AND STEFAN IVANOV Comparing with the second Killing spinor equation (∗) we find 2 · dΦ = −β, (dω3 0 ,∗ω3 0) = 0 which completes the proof. As a corollary we obtain the result from [21], which states that any solution to both equations (∗) has necessarily the NS three form H = T g”
• The Srní lectures on non-integrable geometries with torsion (2006, methodology): “ties of physical models constructed from them. Some weak geometries have been rederived by physicists looking for partial solutions by numerical analysis of ODE’s and heavy special function machinery [GKMW01]. As an example of the many interesting mathematical problems appearing in the context of st”
• Unquenched Flavor in the Gauge/Gravity Correspondence (2010, background): “A gravity dual of N = 2 three-dimensional gauge theory based on D5-branes wrapping a three-cycle was found in [132, 133].”
• The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1) (2004, background): “27) Dual supergravity solutions [12,13,14,15,47] have been considered in the NS background frame (appropriate to the strong coupling gauge theory that appears in the IR of the Dbrane gauge theory).”
• Superstrings with intrinsic torsion (2003, methodology): “In particular, as emphasised in [8], the expression for the three-form can always be expressed in terms of the G-structure in a way related to “generalised calibrations” [18, 19].”
• T-duality, generalized geometry and non-geometric backgrounds (2008, background): “The latter is defined by a complex one form z = v + iv′, and a triplet of real two-forms (J1, J2, J3), or, equivalently, a real two-form j and a complex two-form ω [25].”