论文标题
instantons in Ads $ _4 $来自（抗）膜包装$ s^7 $ to bose-fermi duality cft $ _3 $'s
Instantons in AdS$_4$ From (anti)Membranes Wrapping $S^7$ To Bose-Fermi Duality in CFT$_3$'s
论文作者
论文摘要
我们提供了新的SO（4） - 引起的和非s骨对称的intanton解决方案，用于共同耦合m^2 = -2 = -2 = -2 = -2 = -2 =+4（伪4（伪）标量，这是由于ADS_4 x s^7/z_k的11维超级超级障碍的一致截断，而内部空间是s^s^s^fibration s s^fibration s s^1 HOPP^1 HOPP^1 HOPP^1 HOPP^1 HOPP^1 HOUPFIBR AND sHOUP＆HOPP FIBR and sHOPP^1 HOUP＆HOUPFIBR and sHOPP^1 HOPS＆HOPP gibration and shOp c.实际上，散装配置与包裹在混合内部（和外部）方向上的（抗）膜相关联，进而探测了灯芯旋转或偏斜的背景，打破了所有超对称性以及奇偶性。从耦合体积（伪）标量的封闭溶液的边界行为附近，我们获得了一个边缘三重轨道变形，具有混合边界条件（对体积无质量m^2 = 0（伪）标量有效，在考虑外部空间偏置时，与dirichlet边界的稳定性相对符，并且有效地构成了对相应的边界的潜在，并且有效地构成了对相应的边界的稳定性，并且是有效的。类似fubini的Instanton。提出了双重有效的动作，我们看到边界解决方案和同行在三维U（n）和O（n）Chern-simons-mater-Mart-Mart-Mart-Mart-Master field Theories中实现的。特别是，我们使用无质量和质量形式的常规和关键玻色子和费米昂模型的版本，找到instantons并确认状态操作员ADS_4/CFT_3对应关系，以及在溶液级别上的Bose-Fermi二元性。此外，我们讨论了与Vasiliev的高旋转理论的关系，Aharony-Bergman-Jafferis-Maldacena模型的变形以及其他相关研究。
We present new SO(4)-invariant and non-supersymmetric instanton solutions for the conformally coupled m^2=-2 and massive m^2=+4 (pseudo)scalars arising from a consistent truncation of 11-dimensional supergravity over AdS_4 x S^7/Z_k when the internal space is a S^1 Hopf fibration on CP^3, and we consider backreaction. In fact, the bulk configurations associate with (anti)membranes wrapped around mixed internal (and external) directions, which in turn probe the Wick-rotated or skew-whiffed background, break all supersymmetries as well as parity invariance. From near the boundary behavior of the closed solution for the coupled bulk (pseudo)scalar, we get a marginal triple-trace deformation with mixed boundary condition (valid also for the bulk massless m^2=0 (pseudo)scalar, raised when considering the external space backreaction, with Dirichlet boundary condition) and as a result, the corresponding boundary effective potential is unbounded from below and causes an instability because of the Fubini-like instanton. Presenting dual effective actions, we see that the boundary solutions and counterparts realize in singlet sectors of three-dimensional U(N) and O(N) Chern--Simons-matter field theories. In particular, we use versions of massless and mass-deformed regular and critical boson and fermion models, find instantons and confirm state-operator AdS_4/CFT_3 correspondence and also Bose-Fermi duality at the level of the solutions. In addition, we discuss on relations of our setups with Vasiliev's Higher-Spin theories, deformations of the Aharony-Bergman-Jafferis-Maldacena model and other related studies.
