Exactly Marginal Deformations and their Supergravity Duals

التفاصيل البيبلوغرافية
العنوان: Exactly Marginal Deformations and their Supergravity Duals
المؤلفون: Ashmore, Anthony, Petrini, Michela, Tasker, Edward, Waldram, Daniel
سنة النشر: 2021
المجموعة: High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory
الوصف: We study the space of supersymmetric AdS$_5$ solutions of type IIB supergravity corresponding to the conformal manifold of the dual $\mathcal{N}=1$ conformal field theory. We show that the background geometry naturally encodes a generalised holomorphic structure, dual to the superpotential of the field theory, with the existence of the full solution following from a continuity argument. In particular, this provides a solution to the long-standing problem of finding the gravity dual of the generic $\mathcal{N}=1$ deformations of $\mathcal{N}=4$ conformal field theory. Using this formalism, we derive a new result for the Hilbert series of the deformed field theories.
Comment: 5 pages
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevLett.128.191601
URL الوصول: http://arxiv.org/abs/2112.08375
رقم الأكسشن: edsarx.2112.08375
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevLett.128.191601