Chiral differetial operators via quantization of the holomorphic sigma model - Gorbounov, Vassily; Gwilliam, Owen; Williams, Brian (Paris: Societe Mathematique de France, 2020)
Introduction -- Part I. Gelfand-Kazhdan descent and chiral differential operators -- 1. Flat vector bundles and Harish-Chandra descent -- 2. Formal vector bundles and Gelfand-Kazhdan descent -- 3. Harish-Chandra structure on CDOs -- 4. Extended Gelfand-Kazhdan descent -- 5. Descent for vertex algebras -- Part II. The curved beta gama system and its factorization algebra -- 6. Overview -- 7. A brief overview of derived deformation theory and L infinity algebras -- 8. The formal beta gama system -- 9. Equivariant BV quantization of the formal beta gama system -- 10. The partition function of the equivariant theory -- 11. The factorization algebras of equivariant observables -- 12. Semi-strict Gelfand-Kazhdan descent -- 13. A concrete description of the observables -- 14. Conformal structure on observables -- Part III. Comparison of the constructions -- 15. Overview -- 16. From factorization to vertex algebras -- 17. Observables for the formal beta gama system -- 18. Local symmetries acting on observables -- 19. The main result -- 20. Discussion of some physics literature -- Appendix -- Bibliography
Includes bibliographical references
Keywords: Quantum Field Theory; Vertex Algebras; Conformal Field Theory; Formal Geometry; Factorization Algebras; Anomalies; Witten Genus; Batalin-Vilkovisky Formalism