[图书][B] Introduction to vertex operator algebras and their representations
J Lepowsky, H Li - 2004 - books.google.com
Vertex operator algebra theory is a new area of mathematics. It has been an exciting and
ever-growing subject from the beginning, starting even before R. Borcherds introduced the …
ever-growing subject from the beginning, starting even before R. Borcherds introduced the …
Chiral de Rham complex
F Malikov, V Schechtman, A Vaintrob - Communications in mathematical …, 1999 - Springer
We define natural sheaves of vertex algebras over smooth manifolds which may be
regarded as semi-infinite de Rham complexes of certain D-modules over the loop spaces …
regarded as semi-infinite de Rham complexes of certain D-modules over the loop spaces …
Elliptic genera of singular varieties
L Borisov, A Libgober - 2003 - projecteuclid.org
The notions of orbifold elliptic genus and elliptic genus of singular varieties are introduced,
and the relation between them is studied. The elliptic genus of singular varieties is given in …
and the relation between them is studied. The elliptic genus of singular varieties is given in …
Elliptic genera of toric varieties and applications to mirror symmetry
LA Borisov, A Libgober - Inventiones mathematicae, 2000 - Springer
The paper contains a proof that elliptic genus of a Calabi-Yau manifold is a Jacobi form,
finds in which dimensions the elliptic genus is determined by the Hodge numbers and …
finds in which dimensions the elliptic genus is determined by the Hodge numbers and …
[图书][B] Hypergeometric functions and mirror symmetry in toric varieties
RP Horja - 1999 - search.proquest.com
We study aspects related to Kontsevich's homological mirror symmetry conjecture [42] in the
case of Calabi-Yau complete intersections in toric varieties. In a 1996 lecture, Kontsevich …
case of Calabi-Yau complete intersections in toric varieties. In a 1996 lecture, Kontsevich …
Wn (2) algebras
BL Feigin, AM Semikhatov - Nuclear Physics B, 2004 - Elsevier
We construct W-algebra generalizations of the sℓˆ (2) algebra—W algebras Wn (2)
generated by two currents E and F with the highest pole of order n in their OPE. The n= 3 …
generated by two currents E and F with the highest pole of order n in their OPE. The n= 3 …
Elliptic Genera of singular varieties, orbifold elliptic genus and chiral deRham complex
LA Borisov, A Libgober - arXiv preprint math/0007126, 2000 - arxiv.org
arXiv:math/0007126v2 [math.AG] 9 Aug 2000 Page 1 arXiv:math/0007126v2 [math.AG] 9 Aug
2000 Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex …
2000 Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex …
Instantons beyond topological theory. I
E Frenkel, A Losev, N Nekrasov - … of the Institute of Mathematics of …, 2011 - cambridge.org
Many quantum field theories in one, two and four dimensions possess remarkable limits in
which the instantons are present, the anti-instantons are absent, and the perturbative …
which the instantons are present, the anti-instantons are absent, and the perturbative …
Symmetry-surfing the moduli space of Kummer K3s
A Taormina, K Wendland - Proc. Symp. Pure Math, 2015 - books.google.com
A maximal subgroup of the Mathieu group M24 arises as the combined holomorphic
symplectic automorphism group of all Kummer surfaces whose Kähler class is induced from …
symplectic automorphism group of all Kummer surfaces whose Kähler class is induced from …
Mirror symmetry in two steps: A–I–B
E Frenkel, A Losev - Communications in mathematical physics, 2007 - Springer
We suggest an interpretation of mirror symmetry for toric varieties via an equivalence of two
conformal field theories. The first theory is the twisted sigma model of a toric variety in the …
conformal field theories. The first theory is the twisted sigma model of a toric variety in the …