Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-06-11
Adv.Theor.Math.Phys. 7 (2004) 787-806
Physics
High Energy Physics
High Energy Physics - Theory
20 pages; harvmac. Versions 2 and 3 only have minor changes in the referencing
Scientific paper
We give a general framework for constructing supersymmetric solutions in the presence of non-trivial fluxes of tensor gauge fields. This technique involves making a general Ansatz for the metric and then defining the Killing spinors in terms of very simple projectors on the spinor fields. These projectors and, through them, the spinors, are determined algebraically in terms of the metric Ansatz. The Killing spinor equations then fix the tensor gauge fields algebraically, and, with the Bianchi identities, provide a system of equations for all the metric functions. We illustrate this by constructing an infinite family of massive flows that preserve eight supersymmetries in M-theory. This family constitutes all the radially symmetric Coulomb branch flows of the softly broken, large N scalar-fermion theory on M2-branes. We reduce the problem to the solution of a single, non-linear partial differential equation in two variables. This equation governs the flow of the fermion mass, and the function that solves it then generates the entire M-theory solution algebraically in terms of the function and its first derivatives. While the governing equation is non-linear, it has a very simple perturbation theory from which one can see how the Coulomb branch is encoded.
Gowdigere Chethan N.
Nemeschansky Dennis
Warner Nicholas P.
No associations
LandOfFree
Supersymmetric Solutions with Fluxes from Algebraic Killing Spinors does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Supersymmetric Solutions with Fluxes from Algebraic Killing Spinors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supersymmetric Solutions with Fluxes from Algebraic Killing Spinors will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-458521