تقرير
Instantons in AdS$_4$ From (anti)Membranes Wrapping $S^7$ To Bose-Fermi Duality in CFT$_3$'s
| العنوان: | Instantons in AdS$_4$ From (anti)Membranes Wrapping $S^7$ To Bose-Fermi Duality in CFT$_3$'s |
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| المؤلفون: | Naghdi, M. |
| المصدر: | Eur. Phys. J. Plus 138, 45 (2023) |
| سنة النشر: | 2020 |
| المجموعة: | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory, General Relativity and Quantum Cosmology |
| الوصف: | 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. Comment: 37 pages; Than the v2 edition: Rearranging and improving the presentation of content; Added new subsections and references |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1140/epjp/s13360-023-03686-y |
| URL الوصول: | http://arxiv.org/abs/2002.06547 |
| رقم الأكسشن: | edsarx.2002.06547 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1140/epjp/s13360-023-03686-y |
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