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)-不变且非超对称的瞬子解，当内部空间是CP^3上的S^1 Hopf纤维化时，并考虑了反作用。 事实上，与（反）膜环绕混合内部（和外部）方向相关的体部分配置，反过来探测Wick旋转或歪斜背景，破坏所有超对称性和宇称不变性。 从耦合体部分（伪）标量闭合解的边界行为，我们得到一个具有混合边界条件的边缘三重迹变形（对于体部分无质量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。 展示对偶有效作用，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.