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New string vacua from twistor spaces
 PHYS REV. D
, 2008
"... We find a new family of AdS4 vacua in IIA string theory. The internal space is topologically either the complex projective space CP3 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 ef ..."
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Cited by 55 (1 self)
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We find a new family of AdS4 vacua in IIA string theory. The internal space is topologically either the complex projective space CP3 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
Exploring Pure Spinor String Theory on AdS4 × CP 3
, 808
"... In this paper we formulate the pure spinor superstring theory on AdS4 × CP 3. By recasting the pure spinor action as a topological Amodel on the fermionic supercoset Osp(64)/SO(6) × Sp(4) plus a BRST exact term, we prove the exactness of the σmodel. We then give a gauged linear σmodel which red ..."
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In this paper we formulate the pure spinor superstring theory on AdS4 × CP 3. By recasting the pure spinor action as a topological Amodel on the fermionic supercoset Osp(64)/SO(6) × Sp(4) plus a BRST exact term, we prove the exactness of the σmodel. We then give a gauged linear σmodel which reduces to the superstring in the limit of large volume and we study its branch geometry in different phases. Moreover, we discuss possible Dbrane boundary conditions and the principal chiral model for the fermionic supercoset. Contents
Exploring Pure Spinor String Theory on AdS4 × CP 3
, 808
"... In this paper we formulate the pure spinor superstring theory on AdS4 × CP 3. By recasting the pure spinor action as a topological Amodel on the fermionic supercoset Osp(64)/SO(6) × Sp(4) plus a BRST exact term, we prove the exactness of the σmodel. We then give a gauged linear σmodel which red ..."
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In this paper we formulate the pure spinor superstring theory on AdS4 × CP 3. By recasting the pure spinor action as a topological Amodel on the fermionic supercoset Osp(64)/SO(6) × Sp(4) plus a BRST exact term, we prove the exactness of the σmodel. We then give a gauged linear σmodel which reduces to the superstring in the limit of large volume and we study its branch geometry in different phases. Moreover, we discuss possible Dbrane boundary conditions and the principal chiral model for the fermionic supercoset. Contents
Integration of Superforms and SuperThom Class
, 2007
"... We address the basic problem of constructing the Thom class for a supermanifold. Given a cohomological class of a supermanifold and the restriction of the supermanifold to its bosonic submanifold, the Thom class gives a prescription to define the integral over the bosonic submanifold in terms of the ..."
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We address the basic problem of constructing the Thom class for a supermanifold. Given a cohomological class of a supermanifold and the restriction of the supermanifold to its bosonic submanifold, the Thom class gives a prescription to define the integral over the bosonic submanifold in terms of the integral over the entire supermanifold. In addition, we provide some new interesting examples of supermanifolds obtained by extending a given bosonic manifold, we discuss the construction of superforms of special type (which transform as Berezinian under change of supercoordinates) and we define the de Rham cohomology. We review the construction of the Thom class in the conventional geometry and we discuss the extension to the supermanifolds. Then, we compute explicitly the Thom class for the case of CP (12) and, as expected, the result is singular. We provide a regularization technique to handle the fermionic Thom class in practical applications. We conclude with some remarks about CalabiYau spaces and their embedding into superCY.