General low energy dynamics of supersymmetric monopoles

Gauntlett, Jerome P.; Kim, Chanju; Lee, Kimyeong; Yi, Piljin

doi:10.1103/physrevd.63.065020

Cited by 36 publications

(93 citation statements)

References 34 publications

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“…This observation, due to Tong [7] and elaborated on in many other papers, has led to a determination of explicit potentials for several dyon systems in SU(3) Yang-Mills-Higgs. The general structure of the effective action, and its supersymmetric extension, has been derived in a series of papers by Bak et al [8,9] and Gauntlett et al [10,11].…”

Section: Jhep12(2001)032mentioning

confidence: 99%

Motion on moduli spaces with potentials

Peeters

Zamaklar²

2001

J. High Energy Phys.

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In the limit of small velocities, the dynamics of half-BPS Yang-Mills-Higgs solitons can be described by the geodesic approximation. Recently, it has been shown that quarter-BPS states require the addition of a potential term to this approximation. We explain the logic behind this modification for a larger class of models and then analyse in detail the dynamics of two five-dimensional dyonic instantons, using both analytical and numerical techniques. Non-zero modes are shown to play a crucial role in the analysis of these systems, and we explain how these modes lead to qualitatively new types of dynamics.

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Section: Jhep12(2001)032mentioning

confidence: 99%

Motion on moduli spaces with potentials

Peeters

Zamaklar²

2001

J. High Energy Phys.

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“…After substituting the ansatz into the action, one finds that the low-energy effective action becomes [24] …”

Section: Monopole Dynamics In Pure N = Super Yangmills Theorymentioning

confidence: 99%

“…This was first studied in [5,6,7] in the case that only a single adjoint Higgs field has a non-trivial expectation value. It was then generalized in [24] to the case that both of the adjoint Higgs in the vector multiplet have non-vanishing expectation values. In [24], the low-energy dynamics was also derived when additional scalar vevs in the hypermultiplet are turned on.…”

Section: Inclusion Of Hypermultipletsmentioning

confidence: 99%

“…It was then generalized in [24] to the case that both of the adjoint Higgs in the vector multiplet have non-vanishing expectation values. In [24], the low-energy dynamics was also derived when additional scalar vevs in the hypermultiplet are turned on. In deriving this, it was necessary to assume that the hypermultiplet is in a real representation to utilize complex structures of the index bundle associated with the matter fermions.…”

Section: Inclusion Of Hypermultipletsmentioning

confidence: 99%

“…This has been studied in both N = 2 and N = 4 theories through direct derivation using collective coordinate approach and/or indirect argument based on supersymmetric considerations. In particular, in [24], the low-energy dynamics was derived in N = 2 and N = 4 SYM with hypermultiplets when the two adjoint Higgs fields are nonvanishing.…”

Section: Introductionmentioning

confidence: 99%

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Low energy dynamics of monopoles in supersymmetric Yang-Mills theories with hypermultiplets

Kim

2006

J. High Energy Phys.

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We derive the low energy dynamics of monopoles and dyons in N = 2 supersymmetric Yang-Mills theories with hypermultiplets in arbitrary representations by utilizing a collective coordinate expansion. We consider the most general case that Higgs fields both in the vector multiplet and in the hypermultiplets have nonzero vacuum expectation values. The resulting theory is a supersymmetric quantum mechanics which has been obtained by a nontrivial dimensional reduction of two-dimensional (4,0) supersymmetric sigma models with potentials.

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5D BPS quivers and KK towers

Duan

Ghim

2021

J. High Energ. Phys.

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We explore BPS quivers for D = 5 theories, compactified on a circle and geometrically engineered over local Calabi-Yau 3-folds, for which many of known machineries leading to (refined) indices fail due to the fine-tuning of the superpotential. For Abelian quivers, the counting reduces to a geometric one, but the technically challenging L2 cohomology proved to be essential for sensible BPS spectra. We offer a mathematical theorem to remedy the difficulty, but for non-Abelian quivers, the cohomology approach itself fails because the relevant wavefunctions are inherently gauge-theoretical. For the Cartan part of gauge multiplets, which suffers no wall-crossing, we resort to the D0 picture and reconstruct entire KK towers. We also perform numerical checks using a multi-center Coulombic routine, with a simple hypothesis on the quiver invariants, and extend this to electric BPS states in the weak coupling chamber. We close with a comment on known Donaldson-Thomas invariants and on how L2 index might be read off from these.

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General low energy dynamics of supersymmetric monopoles

Cited by 36 publications

References 34 publications

Motion on moduli spaces with potentials

Motion on moduli spaces with potentials

Low energy dynamics of monopoles in supersymmetric Yang-Mills theories with hypermultiplets

5D BPS quivers and KK towers

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