TY - JOUR
T1 - Anomaly and quantum corrections to solitons in two-dimensional theories with minimal supersymmetry
AU - Shifman, M.
AU - Vainshtein, A.
PY - 1999
Y1 - 1999
N2 - We reexamine the issue of the soliton mass in two-dimensional models with (Formula presented) supersymmetry. The superalgebra has a central extension, and at the classical level the soliton solution preserves 1/2 of supersymmetry which is equivalent to BPS saturation. We prove that the property of BPS saturation, i.e. the equality of the soliton mass to the central charge, remains intact at the quantum level in all orders of the weak coupling expansion. Our key finding is an anomaly in the expression for the central charge. The classical central charge, equal to the jump of the superpotential, is amended by an anomalous term proportional to the second derivative of the superpotential. The anomaly is established by various methods in explicit one-loop calculations. We argue that this one-loop result is not affected by higher orders. We discuss in detail how the impact of the boundary conditions can be untangled from the soliton mass calculation. In particular, the soliton profile and the energy distribution are found at one loop. A “supersymmetry” in the soliton mass calculations in the non-supersymmetric models is observed.
AB - We reexamine the issue of the soliton mass in two-dimensional models with (Formula presented) supersymmetry. The superalgebra has a central extension, and at the classical level the soliton solution preserves 1/2 of supersymmetry which is equivalent to BPS saturation. We prove that the property of BPS saturation, i.e. the equality of the soliton mass to the central charge, remains intact at the quantum level in all orders of the weak coupling expansion. Our key finding is an anomaly in the expression for the central charge. The classical central charge, equal to the jump of the superpotential, is amended by an anomalous term proportional to the second derivative of the superpotential. The anomaly is established by various methods in explicit one-loop calculations. We argue that this one-loop result is not affected by higher orders. We discuss in detail how the impact of the boundary conditions can be untangled from the soliton mass calculation. In particular, the soliton profile and the energy distribution are found at one loop. A “supersymmetry” in the soliton mass calculations in the non-supersymmetric models is observed.
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U2 - 10.1103/PhysRevD.59.045016
DO - 10.1103/PhysRevD.59.045016
M3 - Article
AN - SCOPUS:16644372927
SN - 1550-7998
VL - 59
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 4
ER -