TY  - BOOK
AU  - Gorbounov,Vassily
AU  - Gwilliam,Owen
AU  - Williams,Brian
TI  - Chiral differetial operators via quantization of the holomorphic sigma model
T2  - Asterisque
SN  - 9782856299203
U1  - 530.143 23
PY  - 2020///
CY  - Paris
PB  - Societe Mathematique de France
KW  - Quantum Field Theory
KW  - Vertex Algebras
KW  - Conformal Field Theory
KW  - Formal Geometry
KW  - Factorization Algebras
KW  - Anomalies
KW  - Witten Genus
KW  - Batalin-Vilkovisky Formalism
N1  - Includes bibliographical references; 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
ER  -