Supersymmetric D-branes and calibrations on general Script N = 1 backgrounds
By L. Martucci, P. Smyth. 2005
178 citations recorded by the source corpus.
We study the conditions to have supersymmetric D-branes on general = 1 backgrounds with Ramond-Ramond fluxes. These conditions can be written in terms of the two pure spinors associated to the SU(3) × SU(3) structure on TM⊕TM, and can be split into two parts each involving a different pure spinor. The first involves the integrable pure spinor and requires the D-brane to wrap a generalised complex submanifold with respect to the generalised complex structure associated to it. The second contains the non-integrable pure spinor and is related to the stability of the brane. The two conditions can be rephrased as a generalised calibration condition for the brane. The results preserve the generalised mirror symmetry relating the type IIA and IIB backgrounds considered, giving further evidence for this duality.
Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b1dbf1f87cd7fc4a5501a884c910eaccea22446e
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Citations in the corpus
- A scan for new N = 1 vacua on twisted tori (2006, background): “rom (4.8) we can compute the paring with e3A−φImΦ 2. This form calibrates the cycle wrapped by a spacetime–filling brane or an orientifold, as derived in the context of generalized complex geometry in [50]. Using the adjunction property Z hA,(d−H∧)Bi= Z h(d−H∧)A,Bi (4.12) for the differential d−H, one”
- From ten to four and back again: how to generalize the geometry (2007, background): “s of the internal spinors be equal, η(1)† + η (1) + = η (2)† + η (2) + = |a|2. This condition is necessary for supersymmetric AdS vacua [33, 34] or for introducing supersymmetric D-branes or O-planes [9]. In (2.2) the two internal chiral spinors η(1) + and η(2) + are fixed for a specific solution. In ”
- Supersymmetric sources, integrability and generalized-structure compactifications (2007, background): “ration conditions for each D-brane and orientifold plane (for the latter F = 0) read hReΨ1,j(Σ,F)i = 0, (C.2a) hΨ2,X·j(Σ,F)i = 0, ∀X ∈ Γ(T M⊕T ⋆ ), (C.2b) hImΨ1,j(Σ,F)i/vol6 >0. (C.2c) As shown in [16, 17], for a localized D-brane source, the calibration conditions are equivalent to the statement”
- All AdS7 solutions of type II supergravity (2013, background): “n appropriate -symmetry transformation. This check is made simpler by the fact that brane calibrations are actually the same forms that appear in the bulk supersymmetry conditions (as rst noticed in [17] for compactications to four dimensions). In our case, we see from [8, Table 1] that the appropri”
- D-branes on general Script N = 1 backgrounds: superpotentials and D-terms (2006, background): “c D-branes they admit. Namely, we will focus on D3, D5, D6 and D7-branes, with particular attention to this last case. Supersymmetric D4-branes are not allowed in Type IIA SU(3)-structure backgrounds [8]. D8- and D9-branes can be analyzed along the same lines of the cases explicitly discussed below.”
- G-flux in F-theory and algebraic cycles (2011, background): “d the new two-cycles are Cρ : {b 4 = ±ξa 3} ∩ {ρ= 0} (6.5) Cτ : {b 4 = ±ξa 3} ∩ {τ= 0}. (6.6) These two-cycles imply the existence of a flux that restricts the divisor moduli via the superpotential in [87, 88]. In the IIB setting, we can understand this phenomenon of the enhancement of the Picard lat”
- The Swampland: Introduction and Review (2019, background): “A nice way to see this is utilising generalized calibrations, which give the action of a D-brane in terms of a calibration form Θ defined to satisfy the constraint (see, for example [298])”