TL;DR
This paper explores the derivation of supertube configurations in string theory through compactification and boosting procedures applied to intersecting branes and instantons, leading to new BPS equations and solutions in higher-dimensional SYM theories.
Contribution
It introduces a novel set of 1/4 BPS equations for 6D SYM-Higgs theory and generalizes dyonic instanton equations, connecting these to supertube solutions in string theory.
Findings
Derived new 1/4 BPS equations for 6D SYM-Higgs theory.
Generalized dyonic instanton equations for 5D SYM-Higgs theory.
Interpreted solutions as Yang-Mills supertubes in IIB string theory.
Abstract
Starting with intersecting M2-branes in M-theory, the IIA supertube can be found by compactification with a boost to the speed of light in the compact dimension. A similar procedure applied to Donaldson-Uhlenbeck-Yau instantons on , viewed as intersecting membranes of 7D supersymmetric Yang-Mills (SYM) theory, yields (for finite boost) a new set of 1/4 BPS equations for 6D SYM-Higgs theory, and (for infinite boost) a generalization of the dyonic instanton equations of 5D SYM-Higgs theory, solutions of which are interpreted as Yang-Mills supertubes and realized as configurations of IIB string theory.
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