Gravity duals to deformed SYM theories and generalized complex geometry | Zendy

Ruben Minasian | Zendy; Michela Petrini | Zendy; Alberto Zaffaroni | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Gravity duals to deformed SYM theories and generalized complex geometry

Author(s) -

Ruben Minasian,

Michela Petrini,

Alberto Zaffaroni

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/12/055

Subject(s) - superpotential , supergravity , dual polyhedron , ansatz , supersymmetry , physics , mathematical physics , gauged supergravity , gauge theory , vector field , geometry , theoretical physics , mathematics , mechanics

We analyze the supersymmetry conditions for a class of SU(2) structurebackgrounds of Type IIB supergravity, corresponding to a specific ansatz forthe supersymmetry parameters. These backgrounds are relevant for the AdS/CFTcorrespondence since they are suitable to describe mass deformations orbeta-deformations of four-dimensional superconformal gauge theories. UsingGeneralized Complex Geometry we show that these geometries are characterized bya closed nowhere-vanishing vector field and a modified fundamental form whichis also closed. The vector field encodes the information about thesuperpotential and the type of deformation - mass or beta respectively. We alsoshow that the Pilch-Warner solution dual to a mass-deformation of N =4 SuperYang-Mills and the Lunin-Maldacena beta-deformation of the same background fallin our class of solutions.Comment: LaTex, 29 page

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research