Comments on Effective Superpotentials via Matrix Models (超弦理論の展望)
Comments on Effective Superpotentials via Matrix Models (超弦理論の展望)
复制标题
通过矩阵模型对有效超势的评论
DOI：
10.1088/1126-6708/2002/12/067
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
Yutaka Ookouchi
中科院分区：
文献类型：
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作者：
H. Fuji;Yutaka Ookouchi
Dijkgraaf和Vafa已经证明了= 1的四维超对称规范理论的有效超势可以由矩阵模型的平面图给出。本文研究了伴随手征超场Φ的三次和四次树能级超势模型。本文研究了U（N）和SO（N）/Sp（N）规范理论中经典真空Φ = 0的有效超势.我们评估的有效超势准确的矩阵模型和闭弦理论的卡-丘几何通量。因此，我们找到了他们的完美协议。
Dijkgraaf and Vafa have conjectured that the effective superpotentials for = 1 four-dimensional supersymmetric gauge theories can be given by the planar diagrams of matrix models. We examine some special models with cubic and quartic tree level superpotentials for adjoint chiral superfield Φ. We consider the effective superpotentials for the classical vacuum Φ = 0 for U(N) and SO(N)/Sp(N) gauge theories. We evaluate the effective superpotentials exactly in terms of the matrix model and in terms of closed string theory on Calabi-Yau geometry with fluxes. As a result we find their perfect agreements.