On Grassmannian Heterotic Sigma Model

Abstract

We study the non-minimal supersymmetric heterotically deformed $\mathcal{N}=(0,2)$ sigma model with the Grassmannian target space ${\mathcal{G}}_{M,N}$. To develop the appropriate superfield formalism, we begin with a simplified model with flat target space, find its beta function up to two loops, and prove a non-renormalization theorem. Then we generalize the results to the full model with the Grassmannian target space. Using the geometric formulation, we calculate the beta functions and discuss the 't Hooft and Veneziano limits.

arXiv comment21 pages, 6 figures

References in corpus (22)

• Naturalness Versus Supersymmetric Non-renormalization Theorems
• The Verlinde Algebra And The Cohomology Of The Grassmannian
• (0,2) Trialities
• Fusion Residues
• Heterotic Flux Tubes in N=2 SQCD with N=1 Preserving Deformations
• Recent Developments in (0,2) Mirror Symmetry
• Large-N Solution of the Heterotic N=(0,2) Two-Dimensional CP(N-1) Model
• Notes on nonabelian (0,2) theories and dualities
• N=(0,2) Deformation of CP(1) Model: Two-dimensional Analog of N=1 Yang-Mills Theory in Four Dimensions
• N=(0, 2) Deformation of (2, 2) Sigma Models: Geometric Structure, Holomorphic Anomaly and Exact Beta Functions
• Chiral Algebras of (0,2) Models
• Chiral Algebras of (0,2) Sigma Models: Beyond Perturbation Theory
• Chiral Algebras of (0,2) Sigma Models: Beyond Perturbation Theory - II
• Perturbative Aspects of Heterotically Deformed CP(N-1) Sigma Model. I
• N=(0,2) Supersymmetry and a Nonrenormalization Theorem
• On Isometry Anomalies in Minimal N=(0,1) and N=(0,2) Sigma Models
• Supersymmetric Q-Lumps in the Grassmannian nonlinear sigma models
• Grassmannian Sigma Models and Topological-Antitopological Fusion
• Large-N Solution of the Heterotic Weighted Non-Linear Sigma-Model
• Large-N Solution of the Heterotic N=(0,1) Two-Dimensional O(N) Sigma Model
• Anomalies of Minimal N=(0, 1) and N=(0, 2) Sigma Models on Homogeneous Spaces
• More on Two-Dimensional $O(N)$ Models with $\mathcal{N}=(0,1)$ Supersymmetry

Cited by in corpus (1)

• Supersymmetric Grassmannian Sigma Models in Gross-Neveu Formalism