Conformal manifolds for the conifold and other toric field theories
Conformal manifolds for the conifold and other toric field theories
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锥折和其他环面场论的共形流形
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
A. Hanany
中科院分区：
文献类型：
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作者：
S. Benvenuti;A. Hanany
在与探测卡-丘奇点的D3膜相关的4D = 1规范理论的耦合空间中，存在一个流形，在该流形上保持超共形不变性。AdS/CFT对应对于这个共形流形是精确有效的。我们确定的共形流形的所有Y p，q复曲面奇点，特别注意的情况下的conifold，Y1，0。对于一般的Yp，q，共形流形是三维的，而对于锥状流形，它是五维的。总有一个精确的边缘变形，类似于= 4 SYM的β变形，它涉及对偶引力描述中的通量。对于任何复曲面卡-丘奇异性，都存在这种β变形。
In the space of couplings of the 4D = 1 gauge theory associated to D3 branes probing Calabi-Yau singularities, there is a manifold over which superconformal invariance is preserved. The AdS/CFT correspondence is valid precisely for this ``conformal manifold. We identify the conformal manifold for all the Y p,q toric singularities, paying special attention to the case of the conifold, Y1,0 . For a general Yp,q the conformal manifold is three dimensional, while for the conifold it is five dimensional. There is always an exactly marginal deformation, analogous to the β–deformation of = 4 SYM, which involves fluxes in the dual gravity description. This β–deformation exists for any toric Calabi-Yau singularity.