Article

Generalized Monopoles in Six-dimensional Non-Abelian Gauge Theory

Department of Physics, Osaka University, Suika, Ōsaka, Japan
Physical review D: Particles and fields (Impact Factor: 4.86). 08/2004; 71(4). DOI: 10.1103/PhysRevD.71.041701
Source: arXiv

ABSTRACT

A spherically symmetric monopole solution is found in SO(5) gauge theory with
Higgs scalar fields in the vector representation in six-dimensional Minkowski
spacetime. The action of the Yang-Mills fields is quartic in field strengths.
The solution saturates the Bogomolny bound and is stable.

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Available from: Muneto Nitta, Jul 17, 2015
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    • "In particular, in the USp matrix model they are described by SU(2) -valued anti-self-dual connections[12] [2]. H.Kihara and his team presented regular monopole configurations with saturated Bogomolny bound in SO(5) gauge theory in six dimensions[16]. Self-gravitating Yang monopoles in all dimensions was also studied by G.W.Gibbons and P.K.Townsend[13].The purpose of this paper is to establish an existence and uniqueness theorem for these generalized monopoles in six-dimensional non-Abelian gauge. "
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    ABSTRACT: In this paper, we establish the existence and uniqueness of the spherically symmetric monopole solutions in SO(5) gauge theory with Higgs scalar fields in the vector representation in six-dimensional Minkowski space–time and obtain sharp asymptotic estimates for the solutions. Our method is based on a dynamical shooting approach that depends on two shooting parameters which provides an effective framework for constructing the generalized monopoles in six-dimensional Minkowski space–time.
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    • "They also studied energy solutions in six-dimensional Minkowski space numerically [13]. In their recent works, they gave an exact solution to the generalized self-duality equations suggested by Tchrakian on a sixdimensional sphere by the spin connection of the standard metric [14]. "
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    ABSTRACT: We give an exact solution to the generalized self-duality equations suggested by Tchrakian on a six-dimensional twisted space-time and work on the gauge theory SO(3,3) with a higher-derivative coupling term. The coupling term is considered as geometry as well as interaction dependent. The topological properties are also studied.
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    • "There does exist a natural SO(5)-connection over R 5 , which has been described by [24]. It shares its asymptotic behaviour with our connection, but is described in full by the Bogomolnyi equation "
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    ABSTRACT: In the D0-D4-brane system, D0-branes do not tunnel. Instead, they form bound states with the D4-brane, whose ground states are exact. However, the D0-brane quantum mechanics contains a BPS instanton. To what does this solution correspond? We find that such a tunneling solution provides non-perturbative corrections to the Berry phase connection for the first-excited states as the D4-branes are moved adiabatically. We compute this connection for the first four excited states, and show that it gives an emergent SO(5) connection described previously by Tchrakian.
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