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We characterize N = 1 vacua of type II theories in terms of generalized complex structure on the internal manifold M . The structure group of T (M)⊕T (M) being SU(3)×SU(3) implies the existence of two pure spinors Φ1 and Φ2. The conditions for preserving N = 1 supersymmetry turn out to be simple generalizations of equations that have appeared in the context… (More)

We show that the supersymmetry transformations for type II string theories on six-manifolds can be written as differential conditions on a pair of pure spinors, the exponentiated Kähler form e and the holomorphic form Ω. The equations are explicitly symmetric under exchange of the two pure spinors and a choice of even or odd-rank RR field. This is mirror… (More)

- Loriano Bonora, M . Schnabl, M . M . Sheikh – Jabbari, Alessandro Tomasiello
- 2000

We study the generalization of noncommutative gauge theories to the case of orthogonal and symplectic groups. We find out that this is possible, since we are allowed to define orthogonal and symplectic subgroups of noncommutative unitary gauge transformations even though the gauge potentials and gauge transformations are not valued in the orthogonal and… (More)

- Eric Bergshoeff, R . E . Kallosh, Amir-Kian Kashani-Poor, Dmitri Sorokin, Alessandro Tomasiello
- 2005

We study the problem of instanton generated superpotentials in Calabi–Yau orientifold compactifications directly in type IIB string theory. To this end, we derive the Dirac equation on a Euclidean D3 brane in the presence of background fluxes. We propose an index which governs whether the generation of a superpotential in the effective 4d theory by D3 brane… (More)

We find a new family of AdS4 vacua in IIA string theory. The internal space is topologically either the complex projective space CP or the “flag manifold” SU(3)/(U(1)×U(1)), but the metric is in general neither Einstein nor Kähler. All known moduli are stabilized by fluxes, without using quantum effects or orientifold planes. The analysis is completely… (More)

- Davide Fabbri, Pietro Fré, +4 authors Alessandro Zampa
- 1999

In this paper we discuss candidate superconformal N = 2 gauge theories that realize the AdS/CFT correspondence with M–theory compactified on the homogeneous Sasakian 7-manifolds M7 that were classified long ago. In particular we focus on the two cases M7 = Q1,1,1 and M7 = M1,1,1, for the latter the Kaluza Klein spectrum being completely known. We show how… (More)

- Ulf Lindström, Ruben Minasian, Alessandro Tomasiello, Maxim Zabzine
- 2004

We find a worldsheet realization of generalized complex geometry, a notion introduced recently by Hitchin which interpolates between complex and symplectic manifolds. The two–dimensional model we construct is a supersymmetric relative of the Poisson sigma model used in context of deformation quantization.

- Peter Kaste, Ruben Minasian, Alessandro Tomasiello
- 2003

We consider Minkowski compactifications of M-theory on generic sevendimensional manifolds. After analyzing the conditions on the four-form flux, we establish a set of relations between the components of the intrinsic torsion of the internal manifold and the components of the four-form flux needed for preserving supersymmetry. The existence of two nowhere… (More)

We study the Dirac equation on an M5 brane wrapped on a divisor in a Calabi–Yau fourfold in the presence of background flux. We reduce the computation of the normal bundle U(1) anomaly to counting the solutions of a finite–dimensional linear system on cohomology. This system depends on the choice of flux. In an example, we find that the presence of flux… (More)

- Davide Fabbri, Pietro Fré, +4 authors Alessandro Zampa
- 2000

In this paper we discuss candidate superconformal N = 2 gauge theories that realize the AdS/CFT correspondence with M–theory compactified on the homogeneous Sasakian 7-manifolds M7 that were classified long ago. In particular we focus on the two cases M7 = Q1,1,1 and M7 = M1,1,1, for the latter the Kaluza Klein spectrum being completely known. We show how… (More)