Chapter
12.1.
12.2.
12.3.
12.4.
Chapter
13.1.
13.2.
13.3.
13.4.
Chapter
14.1.
14.2.
14.3.
14.4.
Chapter
15.1.
15.2.
15.3.
15.4.
15.5.
Chapter
16.1.
16.2.
16.3.
16.4.
16.5.
16.6.
16.7.
16.8.
16.9.
Chapter
17.1.
17.2.
17.3.
17.4.
Chapter
18.1.
18.2.
18.3.
18.4.
18.5.
18.6.
CONTENTS
12. Free Field Realization II
Weyl algebras in the infinite-dimensional case
Local completion
Wakimoto realization
Bibliographical notes
13. The Knizhnik-Zamolodchikov Equations
Conformal blocks in the Heisenberg case
Moving the points
Conformal blocks for affine Kac-Moody algebras
Bibliographical notes
14. Solving the KZ Equations
Conformal blocks from the point of view of free field realization
Generalization: singular vectors
Finding solutions
Bibliographical notes
15. Quantum Drinfeld-Sokolov Reduction and W-algebras
The BRST complex
Proof of the main theorem
Examples
The second computation
Bibliographic notes
16. Vertex Lie Algebras and Classical Limits
Vertex Lie algebras
Vertex Poisson algebras
Kac-Moody and Virasoro limits
Poisson structure on connections
The Virasoro Poisson structure
Opers
Classical Drinfeld-Sokolov reduction
Comparison of the classical and quantum Drinfeld-Sokolov
reductions
Bibliographical notes
17. Vertex Algebras and Moduli Spaces I
The flat connection on the vertex algebra bundle, revisited
Harish-Chandra pairs
Moduli of curves
Bibliographical notes
18. Vertex Algebras and Moduli Spaces II
Moduli of bundles
Local structure of moduli spaces
Global structure of moduli spaces
Localization for affine algebras at the critical level
Chiral de Rham complex
Bibliographical notes
vii
203
203
208
214
219
221
221
225
229
232
233
233
237
240
244
245
245
249
253
255
264
267
267
271
273
275
279
281
285
288
290
291
292
295
300
308
311
311
317
318
319
324
327
Previous Page Next Page