Domain wall junctions are 1/4 - BPS states

Carroll, Sean M.; Hellerman, Simeon; Trodden, Mark

doi:10.1103/PhysRevD.61.065001

Domain wall junctions are 1/4 - BPS states

Sean M. Carroll
(
- Santa Barbara, KITP
)
,
Simeon Hellerman
(
- UC, Santa Barbara
)
,
Mark Trodden
(
- Case Western Reserve U.
)

May, 1999

17 pages

Published in:

Phys.Rev.D 61 (2000) 065001

e-Print:

hep-th/9905217 [hep-th]

DOI:

10.1103/PhysRevD.61.065001

Report number:

CWRU-21-99

View in:

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Abstract:

We study N=1 SUSY theories in four dimensions with multiple discrete vacua, which admit solitonic solutions describing segments of domain walls meeting at one-dimensional junctions. We show that there exist solutions preserving one quarter of the underlying supersymmetry -- a single Hermitian supercharge. We derive a BPS bound for the masses of these solutions and construct a solution explicitly in a special case. The relevance to the confining phase of N=1 SUSY Yang-Mills and the M-theory/SYM relationship is discussed.

Note:

18 pages, 4 figures, uses RevTeX. Brief comments concerning lattices of junctions added. Version to appear in Phys. Rev. D Report-no: CWRU-21-99

M-theory
gauge field theory: Yang-Mills
supersymmetry
domain wall
soliton: BPS
charge: topological
charge: fractional

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