String Junctions and the BPS Spectrum of N = 2 SU(2) Theory with Massive Matter Fields

Ohtake, Yukiko

doi:10.1143/ptp.102.671

Cited by 3 publications

(2 citation statements)

References 16 publications

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“…One application is to construct the junction lattice explicitly to describe the BPS states. This can be done at least numerically as has been performed in N = 2 SU(2) theory [38,39]. In the E n theories the BPS spectrum possesses the rich structure in comparison with the D n≤4 theories [11].…”

Section: Discussionmentioning

confidence: 99%

N = 2 superconformal field theory with ADE global symmetry on a D3-brane probe

1999

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We study mass deformations of N = 2 superconformal field theories with ADE global symmetries on a D3-brane. The N = 2 Seiberg-Witten curves with ADE symmetries are determined by the Type IIB 7-brane backgrounds which are probed by a D3-brane. The Seiberg-Witten differentials λ for these ADE theories are constructed. We show that the poles of λ with residues are located on the global sections of the bundle in an elliptic fibration. It is then clearly seen how the residues transform in an irreducible representation of the ADE groups. The explicit form of λ depends on the choice of a representation of the residues. Nevertheless the physics results are identical irrespective of the representation of λ. This is considered as the global symmetry version of the universality found in N = 2 Yang-Mills theory with local ADE gauge symmetries. *

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Section: Discussionmentioning

confidence: 99%

N = 2 superconformal field theory with ADE global symmetry on a D3-brane probe

1999

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“…The condition can also be derived from the dual description of a string junction as an M2-brane with a holomorphic embedding [122,126,127]. String junctions ending on 5-brane webs [129] or other type IIB branes [130][131][132][133][134][135] correspond to BPS states in the corresponding field theory. The presence of 7-branes is particularly interesting since a (p, q)-string winding around a 7-brane undergoes a monodromy transformation which maps it to a different (p, q)-string.…”

Section: Branes Intersecting At Anglesmentioning

confidence: 99%

Intersecting brane solutions in string and M-theory

Smith¹

2003

Class. Quantum Grav.

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We review various aspects of configurations of intersecting branes, including the conditions for preservation of supersymmetry. In particular, we discuss the projection conditions on the Killing spinors for given brane configurations and the relation to calibrations. This highlights the close connection between intersecting branes and branes wrapping supersymmetric cycles as well as special holonomy manifolds. We also explain how these conditions can be used to find supergravity solutions without directly solving the Einstein equations. The description of intersecting branes is considered both in terms of the brane worldvolume theories and as supergravity solutions. There are well-known simple procedures (harmonic function rules) for writing down the supergravity solutions for supersymmetric configurations of orthogonally intersecting branes. However, such solutions involve smeared or delocalised branes. We describe several methods of constructing solutions with less smearing, including some fully localised solutions. Some applications of these supergravity solutions are also considered -in particular the study of black holes and gauge theories.

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Marginal stability and the metamorphosis of Bogomol’nyi-Prasad-Sommerfield states

et al. 2001

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We discuss the restructuring of the BPS spectrum which occurs on certain submanifolds of the moduli/parameter space -the curves of the marginal stability (CMS) -using quasiclassical methods. We argue that in general a 'composite' BPS soliton swells in coordinate space as one approaches the CMS and that, as a bound state of two 'primary' solitons, its dynamics in this region is determined by non-relativistic supersymmetric quantum mechanics. Near the CMS the bound state has a wave function which is highly spread out. Precisely on the CMS the bound state level reaches the continuum, the composite state delocalizes in coordinate space, and restructuring of the spectrum can occur. We present a detailed analysis of this behavior in a two-dimensional N = 2 Wess-Zumino model with two chiral fields, and then discuss how it arises in the context of 'composite' dyons near weak coupling CMS curves in N = 2 supersymmetric gauge theories. We also consider cases where some states become massless on the CMS. Contents

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String Junctions and the BPS Spectrum of N = 2 SU(2) Theory with Massive Matter Fields

Cited by 3 publications

References 16 publications

N = 2 superconformal field theory with ADE global symmetry on a D3-brane probe

N = 2 superconformal field theory with ADE global symmetry on a D3-brane probe

Intersecting brane solutions in string and M-theory

Marginal stability and the metamorphosis of Bogomol’nyi-Prasad-Sommerfield states

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