  The Leigh-Strassler family of N=1 marginal deformations of the N=4 SYM theory
admits a Hopf algebra symmetry which is a quantum group deformation of the
SU(3) part of the R-symmetry of the Ncal=4 theory. We investigate how this
quantum symmetry might be expressed on the gravity side of the AdS/CFT
correspondence. First, we discuss the twist leading to the Hopf algebra
structure for the well-known beta-deformation as well as a unitarily equivalent
theory that we call the w-deformation. We then show how this Hopf twist can be
used to define a star product between the three scalar superfields of these
theories which encodes the deformed global symmetry. Turning to the gravity
side, we adapt this star product to deform the pure spinors of six-dimensional
flat space in its generalised geometry description. This leads to an N=2 NS-NS
solution of IIB supergravity. Starting from this precursor solution, adding
D3-branes and taking the near-horizon limit reproduces the dual gravitational
solution to the above theories, first derived by Lunin and Maldacena using TsT
techniques. This indicates that the Hopf algebra symmetry can play a useful
role in constructing the supergravity duals of the general Leigh-Strassler
deformations.
