Monopole Topology and the Problem of Color

Balachandran, A. P.; Marmo, Giuseppe; Mukunda, N.; Nilsson, Jonas; Sudarshan, E. C. G.; Zaccaria, F.

doi:10.1103/physrevlett.50.1553

Cited by 106 publications

(61 citation statements)

References 9 publications

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“…In the presence of solitons there can be obstructions to the global extension of the local symmetry group H so that only some subgroupH ⊂ H is the group of globally well-defined symmetries [32,36,37,38]. Following the discussion in Sec.…”

Section: -3 Strings Monodromy and The Color Gauge Groupmentioning

confidence: 99%

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings

Harvey

Royston

2008

J. High Energy Phys.

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We study a system of N c D3-branes intersecting D7-branes and O7-planes in 1 + 1-dimensions. We use anomaly cancellation and string dualities to argue that there must be chiral fermion zero-modes on the D3-branes which are localized near the O7-planes. Away from the orientifold limit we verify this by using index theory as well as explicit construction of the zero-modes. This system is related to F-theory on K3 and heterotic matrix string theory, and the heterotic strings are related to Alice string defects in N = 4 Super-Yang-Mills. In the limit of large N c we find an AdS 3 dual of the heterotic matrix string CFT.

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Section: -3 Strings Monodromy and The Color Gauge Groupmentioning

confidence: 99%

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings

Harvey

Royston

2008

J. High Energy Phys.

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“…The above Alice phenomenon is an example of "obstruction" [36][37][38][39]. In general, a covariantly constant embedding of the unbroken symmetry group H (the little group of Φ(ϕ)) inside the original symmetry group G depends on ϕ.…”

Section: Jhep09(2017)046mentioning

confidence: 99%

BPS Alice strings

Chatterjee

Nitta

2017

J. High Energ. Phys.

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When a charged particle encircles around an Alice string, it changes the sign of the electric charge. In this paper we find a BPS-saturated Alice string in U(1)×SO(3) gauge theory with charged complex scalar fields belonging to the vector representation. After performing BPS completion we solve the BPS equations numerically. We further embed the Alice string into an N = 1 supersymmetric gauge theory to show that it is half BPS.

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“…However, Abouelsaood [1] found that, because the gauge potential has a 1/r tail in the unbroken subgroup, some of the expected zero modes are nonnormalizable, and the proposed construction does not go through. A deeper explanation for this was given by Nelson and Manohar [2], and by Balachandran et al [3][4][5], who showed that the non-Abelian Coulomb magnetic field creates a topological obstruction that prevents one from globally defining a basis for the unbroken color subgroup. This inability to define "global color" is the fundamental reason for the nonexistence of the SU(5) chromodyons 1 .…”

Section: Introductionmentioning

confidence: 99%

“…In the theory with SU(5) broken to SU(3) color × U(1) EM , the unit monopoles have nontrivial fields that are not invariant under the unbroken SU (3). Hence, one would expect to be able to generate dyons that were charged under the color SU(3) (hence the term "chromodyon") by exciting the resulting global gauge zero modes.…”

Section: Introductionmentioning

confidence: 99%

“…Such objects, referred to as chromodyons, were first considered in the context of an SU(5) grand unified theory. After attempts to construct such chromodyons failed [1], it was shown that the non-Abelian magnetic charge of the SU(5) monopole creates a topological obstruction to the existence of non-Abelian "color" electric charge [2][3][4][5][6][7], and the issue was abandoned for a number of years. Since then, however, it has been realized that, with other choices of gauge group, there can be monopoles with purely Abelian magnetic charge, even though the unbroken gauge group is non-Abelian [8].…”

Section: Introductionmentioning

confidence: 99%

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Instabilities of chromodyons in SO(5) gauge theory

Guo

Weinberg

2008

Phys. Rev. D

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Attempts to construct chromodyons -objects with both magnetic charge and non-Abelian electric charge -in the context of spontaneously broken gauge theories have been thwarted in the past by topological obstructions to globally defining the unbroken non-Abelian "color" subgroup. In this paper we consider the possibility of chromodyons in a theory with SO(5) broken to SU(2) × U(1), where the topological obstructions are absent. We start by constructing a monopole with only magnetic charge. By exciting a global gauge zero mode about this monopole, we obtain a chromodyonic configuration that is an approximate solution of the field equations. We then numerically simulate the time evolution of this initial state, to see if it settles down in a stationary solution. Instead, we find that chromo-electric charge is continually radiated away, with every indication that this process will continue until this charge has been completely lost. We argue that this presents strong evidence against the existence of stable chromodyons.

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Monopole Topology and the Problem of Color

Cited by 106 publications

References 9 publications

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings

BPS Alice strings

Instabilities of chromodyons in SO(5) gauge theory

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