Baby Skyrme model and fermionic zero modes

Queiruga, Jose M.

doi:10.1103/physrevd.94.065022

Cited by 19 publications

(16 citation statements)

References 53 publications

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“…Fermion zero modes naturally appear in supersymmetric theories, several simple examples are N = 1 chiral scalar superfield in 1+1 dimesions [20], or supersymmetric extensions of the O(3) non-linear sigma model [21] and baby-Skyrme model [22,23], in such a case fermion zero mode is generated via supersymmetry transformations of the boson field of the static soliton. The breaking of supersymmetry of the configurations, in agreement with the index theorem shows a spectral flow of the eigenvalues of the Dirac operator with some number of normalizable bounded modes crossing zero.…”

Section: Introductionmentioning

confidence: 99%

Kinks bounded by fermions

Perapechka

Shnir

2020

Phys. Rev. D

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We present and study new mechanism of interaction between the solitons based on the exchange interaction mediated by the localized fermion states. As particular examples, we consider solutions of simple 1+1 dimensional scalar field theories with self-interaction potentials, including sine-Gordon model and the polynomial φ 4 , φ 6 models, coupled to the Dirac fermions with back-reaction. We discover that there is an additional fermion exchange interaction between the solitons, it leads to the formation of static multi-soliton bound states. Further, we argue that similar mechanisms of formation of stable coupled multi-soliton configurations can be observed for a wide class of physical systems.

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Section: Introductionmentioning

confidence: 99%

Kinks bounded by fermions

Perapechka

Shnir

2020

Phys. Rev. D

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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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“…This concerns for example the baby Skyrme model [22] and the BPS baby Skyrme model [23] (a lower-dimensional counterpart of the BPS Skyrme model [24]). Therefore our construction provides a new set of well behaved N = 1 SUSY versions of these topologically nontrivial models [12]- [17]. It would be very desirable to analyze the fermionic sector of these new extensions in detail with a particular focus on the fermionic zero-modes, however, this issue is beyond thee scope of the paper.…”

Section: Jhep11(2017)141mentioning

confidence: 99%

“…However, the fermionic part of the supersymmetric models contains potentially dangerous higherderivative terms. A different proposal was made in [15,16] (in four dimensions) and in [17][18][19] (in three dimensions) with N = 1 and N = 2 SUSY. In these cases, the fermionic part of the non-equivalent supersymmetric extensions suffers from the appearance of derivative terms involving the auxiliary field.…”

Section: A Bosonic Twin For the O(3) σ-Modelmentioning

confidence: 99%