New Reflections on Gravitational Duality

Frontiers in Physics

Garcí¹  Obregó²  Ramirez, Cupatitzio⁴  n, Octavio⁵  n, Hugo⁶  a-Compeá⁹ 

[1] Departamento de FíDivisióFacultad de Ciencias Fías, Departamento de Fín de Ciencias e Ingenierín y de Estudios Avanzados del IPN, Mexico;noma de Puebla, Mexico;rita Universidad Autósica, Centro de Investigaciósica, Universidad de Guanajuato, Mexico;sico Matemáticas, Benemé

关键词: form gravity;    Duality - weak strong &;    Gravitational duality;    topological M-theory;    field theory;   

DOI  :  10.3389/fphy.2018.00102

学科分类：物理（综合）

来源: Frontiers

【 摘 要 】

In general terms duality consists of two descriptions of one physical system by using degrees of freedom of different nature. There are different kinds of dualities and they have been extremely useful to uncover the underlying strong coupling dynamics of gauge theories in various dimensions and those of the diverse string theories. An extension of this duality involving the sources is also possible if the magnetic monopole is incorporated. At the present time a lot has been understood about duality in non-abelian gauge theories as in the case of N = 4 supersymmetric gauge theories in four dimensions or in the Seiberg-Witten duality for N = 2 theories. Moreover, a duality that relates a gravitational theory (or a string theory) and a conformal gauge theory, as in the case of gauge/gravity correspondence, have been also studied with considerable detail. The case of duality between two gravitational theories is the so called gravitational duality. At the present time, this duality has not been exhaustively studied, however some advances have been reported in the literature. In the present paper we give a general overview of this subject. In particular we will focus on non-abelian dualities, applied to various theories of gravity as developed by the authors, based in the Rocek-Verlinde duality proce- dure. Finally, as a new development in this direction, we study the gravitational duality in Hitchin's gravity in seven and six dimensions and their relation is also discussed.

【 授权许可】

CC BY