Zero Modes and Bound States of the Supersymmetric Monopole

Bais, F.Alexander; Troost, W.

doi:10.1016/0550-3213(81)90499-5

Zero Modes and Bound States of the Supersymmetric Monopole

F.Alexander Bais
(
- Leuven U.
)
,
W. Troost
(
- Leuven U.
)

Nov, 1979

16 pages

Published in:

Nucl.Phys.B 178 (1981) 125-140

Published: 1981

DOI:

10.1016/0550-3213(81)90499-5

Report number:

KUL-TF-79/033

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Abstract: (Elsevier)

We study the zero modes and bound states of elementary fields in the presence of the Prasad-Sommerfield monopole in the N = 2 supersymmetric SU(2) gauge theory. The problem is reduced to a single one-dimensional Schrödinger problem due to a simple relation between the solution of the spinor, (pseudo) scalar and vector equations. An infinite number of bound states is shown to exist which form degenerate supermultiplets. There is only one zero mode in the pseudoscalar field which corresponds to a global chiral symmetry of the theory, confirming the existing interpretation of the zero modes in this model.

GAUGE FIELD THEORY: NONABELIAN
GAUGE FIELD THEORY: SU(2)
SUPERSYMMETRY
FIELD EQUATIONS: MONOPOLE
FIELD THEORY: SCALAR
FIELD THEORY: SPINOR
SPINOR: FIELD THEORY
BOUNDARY CONDITION
BOUND STATE: MONOPOLE
SYMMETRY: CHIRAL

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