Quantum Geometry and Quiver Gauge Theories

Quantum Geometry and Quiver Gauge Theories
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DOI:
10.1007/s00220-017-3071-y
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发表时间:
2013-12
影响因子:
2.4
通讯作者:
N. Nekrasov;V. Pestun;S. Shatashvili
N. Nekrasov;V. Pestun;S. Shatashvili
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
N. Nekrasov;V. Pestun;S. Shatashvili

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在三维环面和二维雪茄形变形的积上,通过紧化具有八个超荷的颤振规范理论,研究了宏观二维超对称规范理论。我们计算了有效扭转超势的泛部。在此过程中,我们建立了规范理论与Yangian、量子仿射代数或与Kac-Moody代数相关的量子椭圆代数之间的对应关系。
We study macroscopically two dimensionalsupersymmetric gauge theories constructed by compactifying the quiver gauge theories with eight supercharges on a productof ad-dimensional torus and a two dimensional cigar with-deformation. We compute the universal part of the effective twisted superpotential. In doing so we establish the correspondence between the gauge theories and the Yangian, quantum affine algebra, or the quantum elliptic algebraassociated to Kac–Moody algebrafor quiver.