Zero modes of the non-relativistic self-dual Chern-Simons vortices on the Toda backgrounds

Journal Article · Fri Nov 01 00:00:00 EST 1991 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1016/0003-4916(91)90208-P· OSTI ID:5262358

Yoon, Yongsung ^[1]

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1. Massachusetts Inst. of Tech., Cambridge (United States)

The two-dimensional self-dual equations are the governing equations of the static zero-energy vortex solutions for the non-relativistic, non-Abelian Chern-Simons models. The zero modes of the non-relativistic vortices are examined by index calculation for the self-dual equations. The index for the self-dual equations is zero for non-Abelian groups, but a non-zero index is obtained by the Toda Ansatz which reduces the self-dual equations to the Toda equations. The number of zero modes for the non-relativistic Toda vortices is 2 {Sigma}{sub {alpha},{beta}}{sup r}K{sub {alpha}{beta}}Q{sup {beta}} which is twice the total number of isolated zeros of the vortex functions. For the affine Toda system, there are additional adjoint zero modes which give a zero index for the SU(N) group.

• OSTI ID: 5262358
• Journal Information: Annals of Physics (New York); (United States), Vol. 211:2; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
RESEARCH PROGRAMS
DIMENSIONS
FIELD EQUATIONS
GAUGE INVARIANCE
NONLINEAR PROBLEMS
SCHROEDINGER EQUATION
SU GROUPS
VORTICES
YANG-MILLS THEORY
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
PARTIAL DIFFERENTIAL EQUATIONS
SYMMETRY GROUPS
WAVE EQUATIONS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)