标题： AdS中的瞬子$_4$从(反)膜包裹 $S^7$到CFT$_3$的玻色-费米对偶性 显示英文标题

标题： Instantons in AdS$_4$ From (anti)Membranes Wrapping $S^7$ To Bose-Fermi Duality in CFT$_3$'s

摘要： 我们提出了在AdS_4 x S^7/Z_k上11维超引力的一致截断中出现的符合耦合m^2=-2和质量m^2=+4（伪）标量的新SO(4)-不变且非超对称瞬子解，当内部空间是CP^3上的S^1 Hopf纤维时，并考虑了反作用。事实上，体配置与围绕混合内部（和外部）方向包裹的（反）膜有关，这反过来探测了Wick旋转或歪斜背景，破坏了所有超对称性以及宇称不变性。从耦合体（伪）标量封闭解的边界行为出发，我们得到了一个具有混合边界条件的边缘三重迹变形（对于体无质量m^2=0（伪）标量也有效，当考虑外部空间反作用时，具有狄利克雷边界条件），因此，相应的边界有效势从下方无界，由于类似Fubini的瞬子导致不稳定性。呈现对偶有效作用量，我们看到边界解及其对应物在三维U(N)和O(N) Chern--Simons-物质场理论的单态部分中实现。特别是，我们使用了无质量和质量变形的常规和临界玻色子和费米子模型版本，找到瞬子并确认状态-算符AdS_4/CFT_3对应关系，以及在解的层面上的玻色-费米对偶性。此外，我们讨论了我们的设置与Vasiliev的高自旋理论、Aharony-Bergman-Jafferis-Maldacena模型的变形以及其他相关研究之间的关系。 显示英文摘要

摘要： 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.