Nonnormalizable zero modes on BPS junctions

Ito, Kenji; Naganuma, Masashi; Oda, Hodaka; Sakai, Norisuke

doi:10.1016/s0550-3213(00)00436-3

Cited by 38 publications

(43 citation statements)

References 36 publications

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“…In this report we summarize our recent results on the first exact solution of BPS domain wall junction in a supersymmetric gauge theory [1] and the detailed study of its properties [2]. N = 1 superalgebra in general receives contributions from central charges [6], [7], [1], [2].…”

Section: Introductionmentioning

confidence: 99%

“…N = 1 superalgebra in general receives contributions from central charges [6], [7], [1], [2]. The anti-commutator between two left-handed supercharges has central charges Z k , k = 1, 2, 3…”

Section: Introductionmentioning

confidence: 99%

“…and compute the anticommutators (1), (2) to find the central charges. The contributions to these central charges from bosonic components of chiral superfields are given by [9] …”

Section: Introductionmentioning

confidence: 99%

“…Since we have a Majorana spinor in 1 + 1 dimensions which does not allow chiral rotations, we have two distinct real mass parameters m (1) n , m (2) n . Similarly we retain the part of the Lagrangian quadratic in fluctuations and eliminate the auxiliary fields F i to obtain the linearized equation for the scalar fluctuations,…”

Section: Introductionmentioning

confidence: 99%

“…NG fermions exhibit a chiral structure in accordance with unitary representations of (1, 0) supersymmetry algebra where fermion and boson with the same mass come in pairs except massless modes which can appear singly. More detailed exposition of our results can be found in Refs.[1], [2]. …”

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An exact solution of BPS junctions and its properties

Ito

Naganuma

Oda

et al. 2001

Nuclear Physics B - Proceedings Supplements

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We have obtained an exact solution for the BPS domain wall junction for a N = 1 supersymmetric theory in four dimensions and studied its properties. The model is a simplified version of the N = 2 SU (2) gauge theory with N f = 1 broken to N = 1 by the mass of the adjoint chiral superfield. We define mode equations and demonstrate explicitly that fermion and boson with the same mass have to come in pairs except massless modes. We work out explicitly massless Nambu-Goldstone (NG) modes on the BPS domain wall junction. We find that their wave functions extend along the wall to infinity (not localized) and are not normalizable. It is argued that this feature is a generic phenomenon of NG modes on domain wall junctions in the bulk flat space in any dimensions. NG fermions exhibit a chiral structure in accordance with unitary representations of (1, 0) supersymmetry algebra where fermion and boson with the same mass come in pairs except massless modes which can appear singly. More detailed exposition of our results can be found in Refs.[1], [2].

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…and compute the anticommutators (1), (2) to find the central charges. The contributions to these central charges from bosonic components of chiral superfields are given by [9] …”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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An exact solution of BPS junctions and its properties

Ito

Naganuma

Oda

et al. 2001

Nuclear Physics B - Proceedings Supplements

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1/2, 1/4 and 1/8 BPS equations in SUSY Yang–Mills–Higgs systems: Field theoretical brane configurations

et al. 2006

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We systematically classify 1/2, 1/4 and 1/8 BPS equations in SUSY gauge theories in d = 6, 5, 4, 3 and 2 with eight supercharges, with gauge groups and matter contents being arbitrary. Instantons (strings) and vortices (3-branes) are only allowed 1/2 BPS solitons in d = 6 with N = 1 SUSY. We find two 1/4 BPS equations and the unique 1/8 BPS equation in d = 6 by considering configurations made of these field theory branes. All known BPS equations are rederived while many new 1/4 and 1/8 BPS equations are found in dimension less than six by dimensional reductions.Bogomol'nyi-Prasad-Sommerfield (BPS) states [1] are the most important ingredients for recent developments in non-perturbative aspects of supersymmetric (SUSY) field theory, string theory and M-theory. This is because they saturate lower energy bound called the Bogomol'nyi bound, break/preserve half supercharges, belong to short multiplets of supersymmetry, and therefore are non-perturbatively stable [2]. Their masses (tension) appear as central (tensorial) charges in the SUSY algebras. D-branes are such objects in string theory [3]. D-brane configurations made of various dimensional D-branes and NS5-branes are very powerful tools to study non-perturbative aspects of SUSY field theory realized on some D-branes [4]. These brane configurations can be obtained from configuration made of M5-and M2-branes in M-theory through various dualities. Therefore classifying possible configuration of M5-and M2-branes is important. Such classification including possible angles between branes was established in [5]. In the field theory side, there exist four kinds of fundamental 1/2 BPS solitons [6, 7]; instantons [8, 9] 1 , monopoles [1, 10, 11, 12], vortices [13]-[17] and domain walls [18]-[30], which are of co-dimension four, three, two and one, respectively. 2 These BPS solitons can be regarded as "field theory branes". In fact, recently, many kinds of 1/4 BPS composite states of several BPS solitons, resembling with D-brane configurations in string theory, have been found in SUSY gauge field theories (or hyper-Kähler sigma models) with eight supercharges in d = 3, 4, 5 [37]-[55]. Further study of similarity between branes in string/M theory and branes in field theory is earnestly desired. However it has not been classified yet what kinds of composite solitons are allowed for BPS states in field theories with eight supercharges.The purpose of this paper is systematically classifying possible 1/2, 1/4 and 1/8 BPS equations in SUSY gauge theories in d = 6, 5, 4, 3 and 2 with eight supercharges, with gauge groups and matter contents being arbitrary. First of all we find that only instantons (strings) and vortices (3-1 Instantons are 1/2 BPS states if embedded into four-dimensional Euclidean space in d = 5, N = 2 (N = 1) SUSY gauge theories with sixteen (eight) supercharges. 2 In addition to these fundamental solitons, there exist several associated solitons: they are an instanton and a monopole with electric flux, called a dyonic instanton [31] and a dyon [32], respective...

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Kinklike structures in scalar field theories: From one-field to two-field models

2013

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In this paper we study the possibility of constructing two-field models from one-field models. The idea is to start with a given one-field model and use the deformation procedure to generate another one-field model, and then couple the two one-field models nontrivially, to get to a two-field model, together with some explicit topological solutions. We show with several distinct examples that the procedure works nicely and can be used generically.

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Nonnormalizable zero modes on BPS junctions

Cited by 38 publications

References 36 publications

An exact solution of BPS junctions and its properties

An exact solution of BPS junctions and its properties

1/2, 1/4 and 1/8 BPS equations in SUSY Yang–Mills–Higgs systems: Field theoretical brane configurations

Kinklike structures in scalar field theories: From one-field to two-field models

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