Abstract
A generating functional F is found for a canonical non-Abelian dual transformation which maps the supersymmetric chiral O(4) σ model to an equivalent supersymmetric extension of the dual σ model. This F produces a mapping between the classical phase spaces of the two theories in which the bosonic (coordinate) fields transform nonlocally, the fermions undergo a local tangent space chiral rotation, and all currents (fermionic and bosonic) mix locally. Purely bosonic curvature-free currents of the chiral model become a symphysis of purely bosonic and fermion bilinear currents of the dual theory. The corresponding transformation functional T which relates wave functions in the two quantum theories is argued to be exactly given by T=exp(iF).
| Original language | English (US) |
|---|---|
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 52 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1995 |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
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Canonical non-Abelian dual transformations in supersymmetric field theories. / Curtright, Thomas; Zachos, Cosmas.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 52, No. 2, 1995.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Canonical non-Abelian dual transformations in supersymmetric field theories
AU - Curtright, Thomas
AU - Zachos, Cosmas
PY - 1995
Y1 - 1995
N2 - A generating functional F is found for a canonical non-Abelian dual transformation which maps the supersymmetric chiral O(4) σ model to an equivalent supersymmetric extension of the dual σ model. This F produces a mapping between the classical phase spaces of the two theories in which the bosonic (coordinate) fields transform nonlocally, the fermions undergo a local tangent space chiral rotation, and all currents (fermionic and bosonic) mix locally. Purely bosonic curvature-free currents of the chiral model become a symphysis of purely bosonic and fermion bilinear currents of the dual theory. The corresponding transformation functional T which relates wave functions in the two quantum theories is argued to be exactly given by T=exp(iF).
AB - A generating functional F is found for a canonical non-Abelian dual transformation which maps the supersymmetric chiral O(4) σ model to an equivalent supersymmetric extension of the dual σ model. This F produces a mapping between the classical phase spaces of the two theories in which the bosonic (coordinate) fields transform nonlocally, the fermions undergo a local tangent space chiral rotation, and all currents (fermionic and bosonic) mix locally. Purely bosonic curvature-free currents of the chiral model become a symphysis of purely bosonic and fermion bilinear currents of the dual theory. The corresponding transformation functional T which relates wave functions in the two quantum theories is argued to be exactly given by T=exp(iF).
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U2 - 10.1103/PhysRevD.52.R573
DO - 10.1103/PhysRevD.52.R573
M3 - Article
VL - 52
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 0556-2821
IS - 2
ER -