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Linear Sigma Models with Torsion
 JHEP 1111 (2011) 034, arXiv:1107.0714 [hepth
"... Gauged linear sigma models with (0, 2) supersymmetry allow a larger choice of couplings than models with (2, 2) supersymmetry. We use this freedom to find a fully linear construction of torsional heterotic compactifications, including models with branes. As a noncompact example, we describe a famil ..."
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Gauged linear sigma models with (0, 2) supersymmetry allow a larger choice of couplings than models with (2, 2) supersymmetry. We use this freedom to find a fully linear construction of torsional heterotic compactifications, including models with branes. As a noncompact example, we describe a family of metrics which correspond to deformations of the heterotic conifold by turning on Hflux. We then describe compact models which are gaugeinvariant only at the quantum level. Our construction gives a generalization of symplectic reduction. The resulting spaces are nonKähler analogues of familiar toric spaces like complex projective space. Perturbatively conformal models can be constructed by considering intersections.
Novel Branches of (0, 2) Theories
"... We show that recently proposed linear sigma models with torsion can be obtained from unconventional branches of conventional gauge theories. This observation puts models with log interactions on firm footing. If nonanomalous multiplets are integrated out, the resulting lowenergy theory involves l ..."
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We show that recently proposed linear sigma models with torsion can be obtained from unconventional branches of conventional gauge theories. This observation puts models with log interactions on firm footing. If nonanomalous multiplets are integrated out, the resulting lowenergy theory involves log interactions of neutral fields. For these cases, we find a sigma model geometry which is both nontoric and includes brane sources. These are heterotic sigma models with branes. Surprisingly, there are massive models with compact complex nonKähler target spaces, which include brane/antibrane sources. The simplest conformal models describe wrapped heterotic NS5branes. We present examples of both types.
THE UNIVERSITY OF CHICAGO HETEROTIC FLUX GEOMETRY FROM CHIRAL GAUGE DYNAMICS A DISSERTATION SUBMITTED TO THE FACULTY OF THE DIVISION OF THE PHYSICAL SCIENCES IN CANDIDACY FOR THE DEGREE OF
, 2013
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"... Chiral gauge theories in two dimensions with (0, 2) supersymmetry are central in the study of string compactifications. Remarkably little is known about generic (0, 2) theories. We consider theories with branches on which multiplets with a net gauge anomaly become massive. The simplest example is a ..."
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Chiral gauge theories in two dimensions with (0, 2) supersymmetry are central in the study of string compactifications. Remarkably little is known about generic (0, 2) theories. We consider theories with branches on which multiplets with a net gauge anomaly become massive. The simplest example is a relevant perturbation of the gauge theory that flows to the CPn model. To compute the effective action, we derive a useful set of Feynman rules for (0, 2) supergraphs. From the effective action, we see that the infrared geometry reflects the gauge anomaly by the presence of a boundary at finite distance. In generic examples, there are boundaries, fluxes and branes; the resulting spaces are nonKähler.