Open AccessLunin-Maldacena deformations with three parameters
Author(s) -
Aybike Çatal-Özer
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 - 10.1088/1126-6708/2006/02/026
Subject(s) - dual polyhedron , physics , homogeneous space , deformation (meteorology) , metric (unit) , field (mathematics) , theoretical physics , mathematical physics , matrix (chemical analysis) , einstein , pure mathematics , geometry , mathematics , operations management , materials science , meteorology , economics , composite material
We examine the solution generating symmetries by which Lunin and Maldacenahave generated the gravity duals of beta-deformations of certain fieldtheories. We identify the O(2,2,R) matrix, which acts on the background matrixE=g+B, where g and B are the metric and the B-field of the undeformedbackground, respectively. This simplifies the calculations and makes somefeatures of the deformed backgrounds more transparent. We also find a newthree-parameter deformation of the Sasaki-Einstein manifolds T^{1,1} andY^{p,q}. Following the recent literature on the three-parameter deformation ofAdS_5 \times S^5, one would expect that our new solutions should correspond tonon-supersymmetric marginal deformations of the relevant dual field theories.Comment: 19 pages, JHEP3, References adde
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom