Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models - INSPIRE

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Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models

Muneto Nitta
(
- Keio U.
)
,
Shin Sasaki
(
- Kitasato U.
)

Apr 30, 2015

13 pages

Published in:

Phys.Rev.D 91 (2015) 125025

Published: Jun 18, 2015

e-Print:

1504.08123 [hep-th]

DOI:

10.1103/PhysRevD.91.125025

View in:

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Abstract: (APS)

We study N=1 supersymmetric gauge theories coupled with higher derivative chiral models in four dimensions in the off-shell superfield formalism. We solve the equation of motion for the auxiliary fields and find two distinct on-shell structures of the Lagrangian that we call the canonical and noncanonical branches characterized by zero and nonzero auxiliary fields, respectively. We classify Bogomol’nyi-Prasado-Sommerfield (BPS) states of the models in Minkowski and Euclidean spaces. In Minkowski space, we find Abelian and non-Abelian vortices, vortex lumps (or gauged lumps with fractional lump charges) as 1/2 BPS states in the canonical branch, and higher derivative generalization of vortices and vortex-(BPS)baby Skyrmions (or gauged BPS baby Skyrmions with fractional baby Skyrme charges) as 1/4 BPS states in the noncanonical branch. In four-dimensional Euclidean space, we find Yang-Mills instantons trapped inside a non-Abelian vortex, intersecting vortices, and intersecting vortex-(BPS)baby Skyrmions as 1/4 BPS states in the canonical branch but no BPS states in the noncanonical branch other than those in the Minkowski space.

Note:

29 pages, title changed, references added, typos corrected, published version in Phys. Rev. D

11.30.Pb
11.15.-q
11.27.+d
derivative: high
vortex
space: Euclidean
space: Minkowski
model: chiral
instanton: Yang-Mills
supersymmetry: 1

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