Target space symmetries in topological theories I

Abstract

We study realization of the target space diffeomorphisms in the type $C$ topological string. We found that the charges, which generate transformations of the boundary observables, form an algebra, which differs from that of bulk charges by the contribution of the bubbled disks. We discuss applications to noncommutative field theories.

22pp, one picture; refs added, typos corrected

References in corpus (3)

• Comments on the Energy-Momentum Tensor in Non-Commutative Field Theories
• The energy-momentum tensor on noncommutative spaces - some pedagogical comments
• Energy-momentum Tensors in Matrix Theory and in Noncommutative Gauge Theories

Cited by in corpus (26)

• Noncommutative Field Theory
• Lagrange structure and quantization
• Generalized complex manifolds and supersymmetry
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• Generalized complex geometry, generalized branes and the Hitchin sigma model
• On the Globalization of Kontsevich's Star Product and the Perturbative Poisson Sigma Model
• A Proof of Tsygan's Formality Conjecture for an Arbitrary Smooth Manifold
• A sigma model field theoretic realization of Hitchin's generalized complex geometry
• Mirror symmetry in two steps: A-I-B
• On First Order Formalism in String Theory
• Instantons beyond topological theory II
• On the Open-Closed B-Model
• On the B-twisted topological sigma model and Calabi-Yau geometry
• 2D sigma models and differential Poisson algebras
• Equivariant Rozansky-Witten classes and TFTs
• On the Generalized Geometry Origin of Noncommutative Gauge Theory
• Lie algebroids, non-associative structures and non-geometric fluxes
• Target Space Equivariant Cohomological Structure of the Poisson Sigma Model
• Violation of the phase space general covariance as a diffeomorphism anomaly in quantum mechanics
• The Background Field Method and the Linearization Problem for Poisson Manifolds
• Covariant and Equivariant Formality Theorems
• Extended sigma-model in nontrivially deformed field-antifield formalism
• A Formality Theorem for Hochschild Chains
• Non-linear sigma models via the chiral de Rham complex
• Holomorphically Covariant Matrix Models
• Formal Global Perturbative Quantization of the Rozansky-Witten Model in the BV-BFV Formalism