Semantic Scholar Open Access 2017 103 sitasi

Quantum $q$-Langlands Correspondence

Mina Aganagic E. Frenkel A. Okounkov

Abstrak

We formulate a two-parameter generalization of the geometric Langlands correspondence, which we prove for all simply-laced Lie algebras. It identifies the q-conformal blocks of the quantum affine algebra and the deformed W-algebra associated to two Langlands dual Lie algebras. Our proof relies on recent results in quantum K-theory of the Nakajima quiver varieties. The physical origin of the correspondence is the 6d little string theory. The quantum Langlands correspondence emerges in the limit in which the 6d string theory becomes the 6d conformal field theory with (2,0) supersymmetry.

Topik & Kata Kunci

Penulis (3)

M

Mina Aganagic

E

E. Frenkel

A

A. Okounkov

Format Sitasi

Aganagic, M., Frenkel, E., Okounkov, A. (2017). Quantum $q$-Langlands Correspondence. https://doi.org/10.1090/MOSC/278

Akses Cepat

Lihat di Sumber doi.org/10.1090/MOSC/278
Informasi Jurnal
Tahun Terbit
2017
Bahasa
en
Total Sitasi
103×
Sumber Database
Semantic Scholar
DOI
10.1090/MOSC/278
Akses
Open Access ✓