Exactly Marginal Deformations and Their Supergravity Duals.
Exactly Marginal Deformations and Their Supergravity Duals.
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DOI：
10.1103/physrevlett.128.191601
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发表时间：
2021-12
影响因子：
8.6
通讯作者：
A. Ashmore;M. Petrini;Edward Tasker;D. Waldram
中科院分区：
文献类型：
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作者：
A. Ashmore;M. Petrini;Edward Tasker;D. Waldram
研究了与对偶N=1共形场论的共形流形相对应的IIB型超引力超对称AdS_{5}解空间。我们表明，背景几何自然编码的广义全纯结构，对偶的超势的场论，与存在的完整的解决方案，从连续性参数。特别是，这项工作使我们能够解决长期存在的问题，找到N=4共形场论的一般N=1变形的引力对偶：即使我们不能以完全明确的形式给出它，我们也提供了超引力解的存在性证明。利用这种形式，我们得到了变形场论的希尔伯特级数的一个新结果。
We study the space of supersymmetric AdS_{5} solutions of type IIB supergravity corresponding to the conformal manifold of the dual N=1 conformal field theory. We show that the background geometry naturally encodes a generalized holomorphic structure, dual to the superpotential of the field theory, with the existence of the full solution following from a continuity argument. In particular, this work allows us to address the long-standing problem of finding the gravity dual of the generic N=1 deformations of N=4 conformal field theory: even if we are not able to give it in a fully explicit form, we provide a proof-of-existence of the supergravity solution. Using this formalism, we derive a new result for the Hilbert series of the deformed field theories.