Holographic duals of 3d S-fold CFTs

Holographic duals of 3d S-fold CFTs
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3d S 折叠 CFT 的全息对偶

DOI:
10.1007/jhep06(2018)019
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发表时间:
2018
影响因子:
5.4
通讯作者:
A. Tomasiello
A. Tomasiello
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Benjamin Assel;A. Tomasiello

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本文构造了IIB弦理论的非几何AdS ~ 4解,其中重叠面片中的场被S-对偶群的元素所胶合。我们通过适当的紧几何解和非紧几何解的乘积得到它们。商程序表明,CFT是与所谓的T [U(N)]理论有关的非线性理论。我们测试的有效性的非几何解决方案(和我们提出的全息对偶)通过计算三球配分函数Z的CFTs。第一类解是由Janus型非紧解的S-对偶商得到的,并且与3d N=4$$ \mathcal{N}=4 $$SCFT是对偶的;对于这些,我们设法计算了有限N下对偶CFT的Z,并且与大N极限下的超引力结果完全一致。第二类有五个膜,它是由普通紧解的莫比乌斯样S-商得到的,并且是3d N=3$$ \mathcal{N}=3 $$SCFT的对偶。对于这些,Z同意超引力的结果,如果我们仔细选择极限,使五膜的效应不会对整个几何产生反作用。其他限制表明存在国际投资协定的限制。
A bstractWe construct non-geometric AdS4 solutions of IIB string theory where the fields in overlapping patches are glued by elements of the S-duality group. We obtain them by suitable quotients of compact and non-compact geometric solutions. The quotient procedure suggests CFT duals as quiver theories with links involving the so-called T [U(N)] theory. We test the validity of the non-geometric solutions (and of our proposed holographic duality) by computing the three-sphere partition function Z of the CFTs. A first class of solutions is obtained by an S-duality quotient of Janus-type non-compact solutions and is dual to 3d N=4$$ \mathcal{N}=4 $$ SCFTs; for these we manage to compute Z of the dual CFT at finite N, and it agrees perfectly with the supergravity result in the large N limit. A second class has five-branes, it is obtained by a Möbius-like S-quotient of ordinary compact solutions and is dual to 3d N=3$$ \mathcal{N}=3 $$ SCFTs. For these, Z agrees with the supergravity result if one chooses the limit carefully so that the effect of the fivebranes does not backreact on the entire geometry. Other limits suggest the existence of IIA duals.
F 理论和 AdS3/CFT2
DOI: 10.1007/jhep08(2017)043
发表时间: 2017
影响因子: 5.4
作者:
Couzens C
通讯作者: Couzens C