کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1841012 1031281 2012 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Proving AGT conjecture as HS duality: Extension to five dimensions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Proving AGT conjecture as HS duality: Extension to five dimensions
چکیده انگلیسی

We extend the proof from Mironov et al. (2011) [25], which interprets the AGT relation as the Hubbard–Stratonovich duality relation to the case of 5d gauge theories. This involves an additional q-deformation. Not surprisingly, the extension turns out to be straightforward: it is enough to substitute all relevant numbers by q  -numbers in all the formulas, Dotsenko–Fateev integrals by the Jackson sums and the Jack polynomials by the MacDonald ones. The problem with extra poles in individual Nekrasov functions continues to exist, therefore, such a proof works only for β=1β=1, i.e. for q=tq=t in MacDonaldʼs notation. For β≠1β≠1 the conformal blocks are related in this way to a non-Nekrasov decomposition of the LMNS partition function into a double sum over Young diagrams.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 855, Issue 1, 1 February 2012, Pages 128–151
نویسندگان
, , , ,