3-String junction and BPS saturated solutions in SU(3) supersymmetric Yang-Mills theory

Hashimoto, Koji; Hata, Hiroyuki; Sasakura, Naoki

doi:10.1016/s0370-2693(98)00588-7

Cited by 58 publications

(112 citation statements)

References 23 publications

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“…Thus the P must commute with a everywhere and the last term in Eq. (7.1.23) drops out, yielding [179,181] Finally, recall that in Section 3.3 we showed that a 1/4-BPS solution of the N = 4 theory was obtained by requiring that all but two scalar fields vanish and that the remaining two satisfy Eq. (3.3.12).…”

Section: Primary and Secondary Bps Equationsmentioning

confidence: 90%

Magnetic monopole dynamics, supersymmetry, and duality

2007

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We review the properties of BPS, or supersymmetric, magnetic monopoles, with an emphasis on their low-energy dynamics and their classical and quantum bound states.After an overview of magnetic monopoles, we discuss the BPS limit and its relation to supersymmetry. We then discuss the properties and construction of multimonopole solutions with a single nontrivial Higgs field. The low-energy dynamics of these monopoles is most easily understood in terms of the moduli space and its metric. We describe in detail several known examples of these. This is then extended to cases where the unbroken gauge symmetry include a non-Abelian factor.We next turn to the generic supersymmetric Yang-Mills (SYM) case, in which several adjoint Higgs fields are present. Working first at the classical level, we describe the effects of these additional scalar fields on the monopole dynamics, and then include the contribution of the fermionic zero modes to the low-energy dynamics. The resulting low-energy effective theory is itself supersymmetric. We discuss the quantization of this theory and its quantum BPS states, which are typically composed of several loosely bound compact dyonic cores.We close with a discussion of the D-brane realization of N = 4 SYM monopoles and dyons and explain the ADHMN construction of monopoles from the D-brane point of view.

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Section: Primary and Secondary Bps Equationsmentioning

confidence: 90%

Magnetic monopole dynamics, supersymmetry, and duality

2007

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“…We will choose the simple roots β p by requiring h Ip b I β p > 0 for the maximal symmetry breaking 2 case along φ I b I . The saturation of the bound occurs if [4][5][6][7][8] where we used the Bogomol'nyi equation and the definitions of charges.…”

Section: Multi-pronged Strings and Their Moduli Spacementioning

confidence: 99%

“…With more than two D3-branes, we can have the string junction configurations [1] that preserve only 1/4 of the supersymmetries [2,3]. The condition for the string junction configurations gives the set of field equations describing the corresponding BPS states of the gauge theory [3][4][5][6][7][8]. In addition to the first order differential equations describing the 1/2 BPS states of monopoles, the string junction needs a second order equation of the Gauss law.…”

Section: Introductionmentioning

confidence: 99%

Moduli space dimensions of multipronged strings

et al. 1999

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“…Such an analysis for D3-branes has been performed in great detail, including for the case of non-abelian gauge groups etc. [9][10][11]. We expect that, same should be possible for these U2-branes as well.…”

Section: Introductionmentioning

confidence: 79%

Non-planar string networks on tori

Kumar¹

2000

J. High Energy Phys.

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Type II strings in D = 5 contain particle-like 1/8 supersymmetric BPS states. In this note we give a string-network representation of such states by considering (periodic) non-planar (p, q, r)-string networks of eight dimensional type II string theory on T 3 . We obtain the BPS mass formula of such states, in terms of charges and generating-vectors of the torus, and show its invariance under an SL(3, Z) × SL(3, Z) group of transformations. Results are then generalized to string-networks associated with the SL(5, Z) U-duality in seven dimensions. We also discuss reinterpretation of the above (D = 5) mass formula in terms of BPS states in world-volume theories of U2-branes in D = 8.

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3-String junction and BPS saturated solutions in SU(3) supersymmetric Yang-Mills theory

Cited by 58 publications

References 23 publications

Magnetic monopole dynamics, supersymmetry, and duality

Magnetic monopole dynamics, supersymmetry, and duality

Moduli space dimensions of multipronged strings

Non-planar string networks on tori

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