Topological solitons in the supersymmetric Skyrme model

Gudnason, Sven Bjarke; Nitta, Muneto; Sasaki, Shin

doi:10.1007/jhep01(2017)014

Cited by 31 publications

(18 citation statements)

References 60 publications

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“…The higher derivative terms free from these problems given in Refs. [61][62][63][64][65] were applied to many topics such as low-energy effective theories [77][78][79][80], SUGRA [63,81], SUSY extension [62,82] of Galileons [83], ghost condensation [61,64], the Dirac-Born-Infeld (DBI) inflation [84], flattening of the inflaton potential [85,86], baby Skyrme models [65,[87][88][89][90][91][92], Skyrme-like models [93][94][95], solitons [65,89,96,97], nonlinear realizations [98], SUSY breaking in modulated vacua [99,100], and a formulation of a liberated SUGRA [101]. For the vector superfield case, ghost-free higher derivative actions were considered in the context of a correction to a scalar potential in SUGRA [102], SUSY Euler-Heisenberg model [53,81,103], nonlinearly self-dual actions [104,105], and the DBI action [106,…”

Section: Hd (Bulk)mentioning

confidence: 99%

Higher derivative three-form gauge theories and their supersymmetric extension

Nitta

Yokokura

2018

J. High Energ. Phys.

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We investigate three-form gauge theories with higher derivative interactions and their supersymmetric extensions in four space-time dimensions. For the bosonic three-form gauge theories, we show that derivatives on the field strength of the 3-form gauge field yield a tachyon as far as the Lagrangian contains a quadratic kinetic term, while such the term with opposite sign gives rise to a ghost. We confirm that there is neither a tachyon nor a ghost when all higher derivative terms are given by functions of the field strength. For this ghost/tachyon-free Lagrangian, we determine the boundary term necessary for the consistency between the equation of motion and energy-momentum tensor. For supersymmetric extensions, we present ghost/tachyon-free higher derivative interactions of arbitrary order of the field strength and corresponding boundary terms as well. * nitta@phys-h.keio.ac.jp † ryokokur@keio.jp 1 Introduction 3-form gauge theories in four-dimensional (4D) spacetime have been studied extensively in the past decades. They were first considered in the context of quantum chromodynamics (QCD) to describe a long-range confinement force between quarks [1,2]. Furthermore, a 3-form gauge field can be regarded to provide an effective description of a Chern-Simons 3-form in Yang-Mills theories [2,3], in particular in the context of the U(1) problem [4,5] and the strong CP problem [6][7][8]. In cosmology, a 3-form gauge field was used for dynamical neutralization of the cosmological constant [9-16], quintessence [17], inflationary models [18][19][20][21][22][23]. A relation between the 3-form gauge theories and condensed matter physics was also discussed, see e.g. [24]. A supersymmetric (SUSY) extension of the 3-form gauge fields was first formulated in Ref. [25]. The SUSY 3-form gauge fields naturally appear in superstring theory and M-theory, therefore they were studied extensively with various applications: supergravity (SUGRA) [26][27][28] (see Refs. [29,30] as a review), Stückelberg coupling [31-34], topological coupling [33,35,36], coupling with a membrane [37-39], alternative formulation of old-minimal SUGRA [37, 40-42], gaugino condensation in SUSY Yang-Mills theories [43, 44], the cosmological constant problem [41], SUSY breaking [41,45], string effective theories [42,[46][47][48], and inflationary models [35,49]. Complex 3-form gauge theories were also considered in Refs. [38,39,42].One of the characterizations of p-form gauge fields is their couplings to extended objects. As 1-form and 2-form gauge fields can be electrically coupled to a particle and string, respectively in 4D spacetime, a 3-form gauge field can be electrically coupled to a membrane [1]. Since membranes and 3-form gauge fields naturally arise in string theory and M-theory as fundamental degrees of freedom, 3-form gauge fields in 4D spacetime appear as 4D compactification of these theories. Another characteristic feature of the 3form gauge field is its coupling to scalar fields. Since a field strength of the 3-form gauge field is a 4-form, the ...

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Section: Hd (Bulk)mentioning

confidence: 99%

Higher derivative three-form gauge theories and their supersymmetric extension

Nitta

Yokokura

2018

J. High Energ. Phys.

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“…This would include supersymmetric O(n) σ-model and especially the Skyrme model, where some developments have been recently made [18,25,26].…”

Section: Jhep11(2017)141mentioning

confidence: 99%

Non-uniqueness of the supersymmetric extension of the O(3) σ-model

Queiruga

Wereszczyński

2017

J. High Energ. Phys.

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“…The potential is mandatory to guarantee the existence of solitonic solutions according to the Derrick's theorem. The supersymmetric extensions of the baby Skyrme model have been studied previously [10][11][12][13] (for possible SUSY extensions of Skyrme-type models in four dimensions see [44][45][46][47]). When the σ-model term is absent from the action the resulting model is the so-called BPS (Bogomoln'yi-Prasad-Sommerfeld) baby Skyrme model and, unlike the original proposal it has a Bogomoln'yi bound and solutions saturating it.…”

Section: Introductionmentioning

confidence: 99%

SUSY Chern–Simons $\mathbb{CP}^N$ and baby Skyrme models and their BPS structures

Queiruga¹

2019

J. Phys. A: Math. Theor.

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We construct the N = 2 supersymmetric extensions of different models containing a Chern-Simons term and study their BPS structure. We find that the coupling of the Chern-Simons term to the general gauged nonlinear σ-model allows for general potentials depending on the Kähler metric and preserving two supersymmetries. We construct from supersymmetry the potentials that allow for BPS structures in different CP N models coupled to Chern-Simons and Maxwell terms. We also couple the Chern-Simons term to a higher-derivative field theory (the baby Skyrme model) and study its SUSY extension and BPS structure.

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Topological solitons in the supersymmetric Skyrme model

Cited by 31 publications

References 60 publications

Higher derivative three-form gauge theories and their supersymmetric extension

Higher derivative three-form gauge theories and their supersymmetric extension

Non-uniqueness of the supersymmetric extension of the O(3) σ-model

SUSY Chern–Simons $\mathbb{CP}^N$ and baby Skyrme models and their BPS structures

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