Two massive and one massless Sp(4) monopole

Lee, Kimyeong; Lu, Changhai

doi:10.1103/physrevd.57.5260

Cited by 16 publications

(36 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Solutions corresponding to one massless and two identical massive monopoles have been studied in SU (3) broken to SU (2) × U (1) [10,11] and in Sp(4) = SO(5), also broken to [12]. (In the latter case the unbroken SU (2) × U (1) is a different subgroup than that considered in Ref.…”

Section: Introductionmentioning

confidence: 99%

Explicit multimonopole solutions inSU(N)gauge theory

Weinberg

1998

Phys. Rev. D

View full text Add to dashboard Cite

We construct multimonopole solutions containing N −1 distinct fundamental monopoles in SU (N ) gauge theory. When the gauge symmetry is spontaneously broken to U (1) N −1 , the monopoles are all massive, and we show that the fields can be written in terms of elementary function for all values of the monopole positions and phases. In the limit of unbroken U (1) × SU (N − 2) × U (1) symmetry, the configuration can be viewed as containing a pair of massive monopoles, each carrying both U (1) and SU (N − 2) magnetic charges, together with N − 3 massless monopoles that condense into a cloud of non-Abelian fields. We obtain explicit expressions for the fields in the latter case and use these to analyze the properties of the non-Abelian cloud.

show abstract

Section: Introductionmentioning

confidence: 99%

Explicit multimonopole solutions inSU(N)gauge theory

Weinberg

1998

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…Other examples which might be considered are the ([1], 2, [1])-monopole [21,22,13] or even the special higher charge solutions discussed in [23]. It would also be interesting to use the numerical ADHMN construction of [24] to find the a field.…”

Section: Discussionmentioning

confidence: 99%

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

Houghton

Lee

2000

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

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. *

show abstract

“…Hence, calorons are expected to give the connection between instantons and BPS monopoles. There are articles demonstrating this interpolation in analytic [5,6,7,8,9].…”

Section: Introductionmentioning

confidence: 92%

“…So far, we have given a very short review on the caloron Nahm data with a spatial symmetry. Now we determine the bulk Nahm data satisfying the C N -symmetric condition (5). For this purpose, we will apply the ansatz for the monopole Nahm data with C N -symmetries given by Sutcliffe over a decade ago [10,11], whose uniqueness is proved in [13].…”

Section: N -Symmetric Ansatz For the Bulk Datamentioning

confidence: 99%

“…Hence, calorons are expected to give the connection between instantons and BPS monopoles. There are articles demonstrating this interpolation in analytic [5,6,7,8,9].In this paper, we give an outline for the construction of the Nahm data of calorons with instanton charge N associated to spatial C N -symmetries around an axis. It is known that the Nahm data of calorons are composed of the bulk data and the boundary data, respectively.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Construction of cyclic calorons

Muranaka

Nakamula

Sawado

2013

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

Abstract. Analytic Nahm data of calorons, i.e., Yang-Mills instantons on R 3 × S 1 , with spatial CN -symmetries are considered. The Nahm equations for the bulk data are reduced to the periodic Toda equation by applying the CN -symmetric ansatz for monopoles by Sutcliffe. It is found that the bulk data are solved by elliptic theta functions which enjoy the hermiticity and the reality conditions. The defining relation to the boundary data are given and the C3-symmetric Nahm data are found as an example. IntroductionThe Atiyah-Drinfeld-Hitchin-Manin (ADHM) [1] and the Nahm [2] constructions are powerful tool for getting the information of the moduli space to the anti-selfdual (ASD) Yang-Mills solitons, such as the instantons and the Bogomoln'yi-Prasad-Sommerfield (BPS) monopoles [3]. The principal ingredients of the ADHM/Nahm construction are the ADHM/Nahm data, respectively. One can obtain the gauge fields through the so called Nahm transform once the ADHM/Nahm data are determined. Although the ADHM/Nahm data are significant objects in the analysis on the ASD Yang-Mills solitons, the construction of the exact forms to the ADHM/Nahm data is unexplored field.Among the ASD Yang-Mills solitons, calorons, or periodic instantons, are quite interesting object [4]. They are ASD instantons on R 3 × S 1 , so that if we take the circumference of S 1 be infinitely large, the calorons are reduced to instantons. On the other hand, it is naturally expected to be the BPS monopoles, if we take the ratio of the size of the calorons to the circumference be infinity. Hence, calorons are expected to give the connection between instantons and BPS monopoles. There are articles demonstrating this interpolation in analytic [5,6,7,8,9].In this paper, we give an outline for the construction of the Nahm data of calorons with instanton charge N associated to spatial C N -symmetries around an axis. It is known that the Nahm data of calorons are composed of the bulk data and the boundary data, respectively. We will apply the C N -symmetric ansatz for monopole Nahm data given by Sutcliffe [10,11] as the bulk Nahm data of calorons, and find that the defining equations for the bulk data are the wellknown periodic Toda equations. As we will see, it is not appropriate to fix the boundary data in the basis on which the Toda equations are solved. Hence we will make a unitary transformation into another basis, in which the reality conditions are manifest. We will give a conjecture on the unitary transformations between these basis. We restrict ourselves to consider the calorons of the SU (2) gauge theory, and of trivial holonomy cases.

show abstract

Two massive and one massless Sp(4) monopole

Cited by 16 publications

References 35 publications

Explicit multimonopole solutions inSU(N)gauge theory

Explicit multimonopole solutions inSU(N)gauge theory

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

Construction of cyclic calorons

Contact Info

Product

Resources

About