Moduli space dimensions of multipronged strings

Bak, Dongsu; Hashimoto, Koji; Lee, Bum-Hoon; Sasakura, Naoki

doi:10.1103/physrevd.60.046005

Cited by 25 publications

(37 citation statements)

References 24 publications

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“…This leads to a classical understanding of wall crossing. These points were first uncovered for the vanilla case in [79,84]. We follow and expand on the discussion in [80].…”

Section: Classical Dyons Bound-state Radii and Wall Crossingmentioning

confidence: 77%

“…While this would be fine classically, Dirac quantization imposes that the electric charge sit in a discrete lattice. One may attempt to accommodate such a γ e by moving around to different points in moduli space; in other words the solution Y to the secondary BPS equation will determine the electric charge as a function on moduli space [79,80,84]. Then there might or might not exist a locus where this function takes on the given value γ e .…”

Section: Jhep07(2016)071mentioning

confidence: 99%

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Semiclassical framed BPS states

Moore

Royston

Bleeken

2016

J. High Energ. Phys.

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We provide a semiclassical description of framed BPS states in fourdimensional N = 2 super Yang-Mills theories probed by 't Hooft defects, in terms of a supersymmetric quantum mechanics on the moduli space of singular monopoles. Framed BPS states, like their ordinary counterparts in the theory without defects, are associated with the L 2 kernel of certain Dirac operators on moduli space, or equivalently with the L 2 cohomology of related Dolbeault operators. The Dirac/Dolbeault operators depend on two Cartan-valued Higgs vevs. We conjecture a map between these vevs and the SeibergWitten special coordinates, consistent with a one-loop analysis and checked in examples. The map incorporates all perturbative and nonperturbative corrections that are relevant for the semiclassical construction of BPS states, over a suitably defined weak coupling regime of the Coulomb branch. We use this map to translate wall crossing formulae and the no-exotics theorem to statements about the Dirac/Dolbeault operators. The no-exotics theorem, concerning the absence of nontrivial SU(2) R representations in the BPS spectrum, implies that the kernel of the Dirac operator is chiral, and further translates into a statement that all L 2 cohomology of the Dolbeault operator is concentrated in the middle degree. Wall crossing formulae lead to detailed predictions for where the Dirac operators fail to be Fredholm and how their kernels jump. We explore these predictions in nontrivial examples. This paper explains the background and arguments behind the results announced in the short note [1].

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“…This leads to a classical understanding of wall crossing. These points were first uncovered for the vanilla case in [79,84]. We follow and expand on the discussion in [80].…”

Section: Classical Dyons Bound-state Radii and Wall Crossingmentioning

confidence: 77%

Section: Jhep07(2016)071mentioning

confidence: 99%

Semiclassical framed BPS states

Moore

Royston

Bleeken

2016

J. High Energ. Phys.

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“…New features arise when one studies the spectrum at points in the moduli space where the Higgs fields are not aligned [7,8,9,10,11,12]. For theories with N = 4 supersymmetry, the BPS bound is determined by two complex central charges that appear in the supersymmetry algebra.…”

Section: Introductionmentioning

confidence: 99%

Monopole dynamics and BPS dyons inN=2super-Yang-Mills theories

et al. 2000

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We determine the low energy dynamics of monopoles in pure N = 2 YangMills theories for points in the vacuum moduli space where the two Higgs fields are not aligned. The dynamics is governed by a supersymmetric quantum mechanics with potential terms and four real supercharges. The corresponding superalgebra contains a central charge but nevertheless supersymmetric states preserve all four supercharges. The central charge depends on the sign of the electric charges and consequently so does the BPS spectrum. We focus on the SU(3) case where certain BPS states are realised as zero-modes of a Dirac operator on Taub-NUT space twisted by the tri-holomorphic Killing vector field. We show that the BPS spectrum includes hypermultiplets that are consistent with the strong-and weak-coupling behaviour of the Seiberg-Witten theory.

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“…This configuration of strings corresponds, in the field theoretic context, to a (1, 1)-monopole with electric charge qα. The string configuration becomes unstable when the (q, 0)-string has zero length, that is, when the string junction coincides with the D3-brane labeled (2) in Figure 3.…”

Section: The String Theory Of the (2 [1]) Examplementioning

confidence: 99%

Nahm data and the mass of 1/4-BPS states

Houghton

Lee

2000

Phys. Rev. D

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General rightsThis document is made available in accordance with publisher policies. Please cite only the published version using the reference above. AbstractThe mass of 1/4-BPS dyonic configurations in N = 4 D = 4 supersymmetric Yang-Mills theories is calculated within the Nahm formulation. The SU (3) example, with two massive monopoles and one massless monopole, is considered in detail. In this case, the massless monopole is attracted to the massive monopoles by a linear potential. *

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Moduli space dimensions of multipronged strings

Cited by 25 publications

References 24 publications

Semiclassical framed BPS states

Semiclassical framed BPS states

Monopole dynamics and BPS dyons inN=2super-Yang-Mills theories

Nahm data and the mass of 1/4-BPS states

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