Solution of the duality equations for the two-dimensional SU(N)-invariant chiral model

Golo, V. L.; Perelomov, A. M.

doi:10.1016/0370-2693(78)90447-1

Cited by 190 publications

(53 citation statements)

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“…Therefore, solutions are always singular at that point, because we know that 29) which gives the following characteristic polynomial 30) with R ± = |z − z ± | 2 + |a ± | 2 . Then the energy density of the configuration E is given by…”

Section: Bps Lumps In Thementioning

confidence: 99%

SO and USp Kähler and hyper-Kähler quotients and lumps

et al. 2009

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We study non-linear σ models whose target spaces are the Higgs phases of supersymmetric SO and U Sp gauge theories by using the Kähler and hyper-Kähler quotient constructions. We obtain the explicit Kähler potentials and develop an expansion formula to make use of the obtained potentials from which we also calculate the curvatures of the manifolds. The 1/2 BPS lumps in the U (1) × SO and U (1) × U Sp Kähler quotients and their effective descriptions are also studied. In this connection, a general relation between moduli spaces of vortices and lumps is discussed. We find a new singular limit of the lumps with non-vanishing sizes in addition to the ordinary small lump singularity. The former is due to the existence of singular submanifolds in the target spaces.

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Section: Bps Lumps In Thementioning

confidence: 99%

SO and USp Kähler and hyper-Kähler quotients and lumps

et al. 2009

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“…46,47,48, and 49 for the introduction and overview of CP N −1 NLSM). The little group H is here the largest subgroup of G that leaves the ground state ψ(b) of H(b) invariant.…”

Section: Electron-electron Interactionsmentioning

confidence: 99%

Deconfined fractional electric charges in graphene at high magnetic fields

2010

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The resistance at the charge neutral (Dirac) point was shown by Checkelsky et al in Phys. Rev. B 79, 115434 (2009) to diverge upon the application of a strong magnetic field normal to graphene. We argue that this divergence is the signature for a Kekulé instability of graphene, which is induced by the magnetic field. We show that the strong magnetic field does not remove the zero modes that bind a fraction of the electron around vortices in the Kekulé dimerization pattern, and that quenched disorder present in the system makes it energetically possible to separate the fractional charges. These findings, altogether, indicate that graphene can sustain deconfined fractionalized electrons.

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“…N models in two-dimensional Euclidean space-time were introduced by Golo and Perelomov (see [1]) with the goal of discussing self-dual 2D-instantons in a complex/Khäler framework. These systems in Minkowski R 1,3 space-time are a variant of the O(N) non-linear sigma model, which is constructed in turn as a restriction of the linear sigma model of Gell-Mann and Levy [2] to the dynamics of their Goldstone bosons.…”

Section: Cpmentioning

confidence: 99%

“…a formula showing, together with (1), that this model is globally defined on CP 1 . For the sake of concision, we shall write the Lagrangians (1) and (2) in the unified form:…”

Section: A Gauge U(1) Massive Non-linear Cp 1 -Sigma Model With Two Smentioning

confidence: 99%

Higgs Phase in a Gauge U(1) Non-Linear CP1-Model. Two Species of BPS Vortices and Their Zero Modes

Izquierdo

Guilarte

2016

Symmetry

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Abstract:In this paper, zero modes of fluctuation are dissected around the two species of BPS vortices existing in the critical Higgs phase, where the scalar and vector meson masses are equal, of a gauged U(1) nonlinear CP 1 -model. If 2πn, n ∈ Z, is the quantized magnetic flux of the two species of BPS vortex solutions, 2n linearly-independent vortex zero modes for each species are found and described. The existence of two species of moduli spaces of dimension 2n of these stringy topological defects is thus locally shown.

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Solution of the duality equations for the two-dimensional SU(N)-invariant chiral model

Cited by 190 publications

References 1 publication

SO and USp Kähler and hyper-Kähler quotients and lumps

SO and USp Kähler and hyper-Kähler quotients and lumps

Deconfined fractional electric charges in graphene at high magnetic fields

Higgs Phase in a Gauge U(1) Non-Linear CP1-Model. Two Species of BPS Vortices and Their Zero Modes

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