The conformal field theory of orbifolds

Dixon, Lance J.; Friedan, Daniel; Martinec, Emil J.; Shenker, Stephen H.

doi:10.1016/0550-3213(87)90676-6

Cited by 938 publications

(1,149 citation statements)

References 44 publications

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“…More specifically, they source the metric h µν , the R-R four-form potential C µνρσ and two twisted scalars b and c from the NS-NS and R-R sector respectively. This means that the disk one-point function of their vertex operators [31,32] is non vanishing when the disk boundary is attached to such D3-branes. (Indeed in this way or, equivalently, by using the boundary-state formalism [33,34], one can derive the profile for these fields.…”

Section: Study Of the Back-reactionmentioning

confidence: 99%

Stringy instantons at orbifold singularities

Argurio

Bertolini

Ferretti

et al. 2007

J. High Energy Phys.

118

184

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Abstract:We study the effects produced by D-brane instantons on the holomorphic quantities of a D-brane gauge theory at an orbifold singularity. These effects are not limited to reproducing the well known contributions of the gauge theory instantons but also generate extra terms in the superpotential or the prepotential. On these brane instantons there are some neutral fermionic zero-modes in addition to the ones expected from broken supertranslations. They are crucial in correctly reproducing effects which are dual to gauge theory instantons, but they may make some other interesting contributions vanish. We analyze how orientifold projections can remove these zero-modes and thus allow for new superpotential terms. These terms contribute to the dynamics of the effective gauge theory, for instance in the stabilization of runaway directions.

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Section: Study Of the Back-reactionmentioning

confidence: 99%

Stringy instantons at orbifold singularities

Argurio

Bertolini

Ferretti

et al. 2007

J. High Energy Phys.

118

184

View full text Add to dashboard Cite

show abstract

“…The selection rules for heterotic orbifolds are well known [14,15,16], but little attention has been paid to the emerging non-Abelian flavor symmetries. Recently, explicit string compactifications, based on the 6 −II = 2 × 3 heterotic orbifold, with a D 4 flavor symmetry have been constructed [17,18,19,20].…”

Section: Introductionmentioning

confidence: 99%

Stringy origin of non-Abelian discrete flavor symmetries

et al. 2007

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We study the origin of non-Abelian discrete flavor symmetries in superstring theory. We classify all possible non-Abelian discrete flavor symmetries which can appear in heterotic orbifold models. These symmetries include D 4 and ∆(54). We find that the symmetries of the couplings are always larger than the symmetries of the compact space. This is because they are a consequence of the geometry of the orbifold combined with the space group selection rules of the string. We also study possible breaking patterns. Our analysis yields a simple geometric understanding of the realization of non-Abelian flavor symmetries.

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“…All these properties of the disorder field µ ± 0 (0, 0) lead to the conclusion that it represents the kink-creating operator. It should be mentioned that the field φ in this case takes its values on the orbifold S 1 Z 2 and, as usually, the two disorder fields µ ± 0 (0, 0) are related to the two fixed points φ = 0 and φ = πR ( [15]). As we shall show in Sect.…”

Section: Other Interpretations Of the Classical Solutionmentioning

confidence: 99%

Kink scaling functions in 2D non-integrable quantum field theories

et al. 2006

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We determine the semiclassical energy levels for the φ 4 field theory in the broken symmetry phase on a 2D cylindrical geometry with antiperiodic boundary conditions by quantizing the appropriate finite-volume kink solutions. The analytic form of the kink scaling functions for arbitrary size of the system allows us to describe the flow between the twisted sector of c = 1 CFT in the UV region and the massive particles in the IR limit. Kink-creating operators are shown to correspond in the UV limit to disorder fields of the c = 1 CFT. The problem of the finite-volume spectrum for generic 2D Landau-Ginzburg models is also discussed.

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The conformal field theory of orbifolds

Cited by 938 publications

References 44 publications

Stringy instantons at orbifold singularities

Stringy instantons at orbifold singularities

Stringy origin of non-Abelian discrete flavor symmetries

Kink scaling functions in 2D non-integrable quantum field theories

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