The light asymptotic limit of conformal blocks in Toda field theory

被引：6
|
作者：
Poghosyan, Hasmik [1 ]
Poghossian, Rubik [1 ]
Sarkissian, Gor [1 ,2 ]
机构：
[1] Yerevan Phys Inst, Alikhanian Br 2, Yerevan 0036, Armenia
[2] Yerevan State Univ, Dept Phys, Alex Manoogian 1, Yerevan 0025, Armenia
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2016年 / 05期
关键词：
Conformal and W Symmetry; Supersymmetric gauge theory;
D O I：
10.1007/JHEP05(2016)087
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We compute the light asymptotic limit of A(n-1) Toda conformal blocks by using the AGT correspondence. We show that for certain class of CFT blocks the corresponding Nekrasov partition functions in this limit are simplified drastically being represented as a sum of a restricted class of Young diagrams. In the particular case of A(2) Toda we also compute the corresponding conformal blocks using conventional CFT techniques finding a perfect agreement with the results obtained from the Nekrasov partition functions.
引用
收藏
页数：19
相关论文
共 50 条
  • [1] The light asymptotic limit of conformal blocks in Toda field theory
    Hasmik Poghosyan
    Rubik Poghossian
    Gor Sarkissian
    [J]. Journal of High Energy Physics, 2016
  • [2] The light asymptotic limit of conformal blocks in N=1 super Liouville field theory
    Poghosyan, Hasmik
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2017, (09):
  • [3] Gauge theory Wilson loops and conformal Toda field theory
    Filippo Passerini
    [J]. Journal of High Energy Physics, 2010
  • [4] Gauge theory Wilson loops and conformal Toda field theory
    Passerini, Filippo
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2010, (03):
  • [5] Toda systems as models of conformal classical field theory
    Ovchinnikov A.V.
    [J]. Journal of Mathematical Sciences, 2005, 128 (4) : 3054 - 3063
  • [6] Correlation function in conformal Toda field theory I
    Fateev, V. A.
    Litvinov, A. V.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2007, (11):
  • [7] Correlation functions in conformal Toda field theory II
    Fateev, V. A.
    Litvinov, A. V.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2009, (01):
  • [8] Conformal Toda theory with a boundary
    Vladimir Fateev
    Sylvain Ribault
    [J]. Journal of High Energy Physics, 2010
  • [9] Conformal Toda theory with a boundary
    Fateev, Vladimir
    Ribault, Sylvain
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2010, (12):
  • [10] Infinite circumference limit of conformal field theory
    Ishibashi, Nobuyuki
    Tada, Tsukasa
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (31)
12345