On marginal deformations of (0,2) non-linear sigma models

Abstract

An N=1, d=4 supersymmetric compactification of the perturbative heterotic string is described by a d=2 (0,2) superconformal field theory. The first-order marginal deformations of the internal (0,2) SCFT are in 1 to 1 correspondence with massless gauge-neutral scalars in the spacetime theory. Working at tree-level in the alpha' expansion, we describe these first order deformations for SCFTs with a (0,2) non-linear sigma model description. Our results clarify the structure of deformations of heterotic Calabi-Yau compactifications and more general heterotic flux vacua.

14 pages

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Cited by in corpus (25)

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• Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry
• Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an $L_{\infty }$ algebra
• Heterotic fluxes and supersymmetry
• Heterotic backgrounds via generalised geometry: moment maps and moduli
• Accidents in (0,2) Landau-Ginzburg theories
• Hybrid conformal field theories
• Holomorphic string algebroids
• Chiral operators in two-dimensional (0,2) theories and a test of triality
• Heterotic Quantum Cohomology
• Marginal deformations of heterotic $G_2$ sigma models
• Superpotential of Three Dimensional $\mathcal{N}=1$ Heterotic Supergravity
• Categorical Equivalence and the Renormalization Group
• $\mathcal{G}$-structure symmetries and anomalies in $(1,0)$ non-linear $\sigma$-models
• Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
• Eigenvalues and eigenforms on Calabi-Yau threefolds
• Heterotic flux backgrounds and their IIA duals
• Small gauge transformations and universal geometry in heterotic theories
• A few recent developments in 2d (2,2) and (0,2) theories
• Moduli identification methods in Type II compactifications
• $\mathcal{S}\mathcal{W}$-algebras and strings with torsion
• New Evidence for (0,2) Target Space Duality
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• Heterotic Flux Geometry from Chiral Gauge Dynamics