Abstract
AbstractInarXiv:1007.2982a novel system of equations which propagate in one null and four space directions were obtained as the on-shell conditions for the six-dimensional (2, 0) superalgebra. In this paper we show how this system reduces to one-dimensional motion on instanton moduli space. Quantization leads to the previous light-cone proposal of the (2, 0) theory, generalized to include a potential that arises on the Coulomb branch as well as couplings to background gauge and self-dual two-form fields.
Highlights
In this paper we show how this system reduces to one-dimensional motion on instanton moduli space
There have been some encouraging signs that this formalism is capable of describing various branes in string theory and M-theory [23, 24]
We consider in detail the resulting dynamical system when the auxiliary vector field Caμ has a null vacuum expectation value. This leads to a curious system of equations with 16 supersymmetries and an SO(5) R-symmetry that propagate in one null and four space directions
Summary
We wish to consider the above system of equations for the special case where Caμ is a null vector: Caμ. Our strategy now is to solve as many of the equations of motion as possible We will do this by setting the Fermions to zero with the understanding that the supersymmetry can be used to generate Fermionic solutions. XI is uniquely determined in terms of the ADHM data of the gauge field Ai and its asymptotic value: XI = vI + O. where vI is an element of the Lie-algebra. To solve this equation we need to recall some facts about instanton moduli space, for reviews see [27, 28]. The DiFi− = 0 equation becomes DiDiA− = 0 This is the same as the XI equation and so A− is determined in terms of ADHM data and its asymptotic value: A− = w + O (3.17).
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