Quantization of supersymmetric nonlinear sigma-model

1988 ◽  
Vol 102 (1) ◽  
pp. 93-103
Author(s):  
M. Nakamura
Keyword(s):  
Sigma Model ◽  
Nonlinear Sigma Model ◽  
Supersymmetric Nonlinear Sigma Model

scholarly journals ON THE QUANTIZATION OF THE N = 2 SUPERSYMMETRIC NONLINEAR SIGMA MODEL

1993 ◽  
Vol 08 (19) ◽  
pp. 3359-3369 ◽  
Author(s):  
G. ALDAZABAL ◽  
J. M. MALDACENA
Keyword(s):  
Operator Product Expansion ◽  
Sigma Model ◽  
Superconformal Algebra ◽  
Operator Product ◽  
Nonlinear Sigma Model ◽  
Coordinate Transformations ◽  
Supersymmetric Nonlinear Sigma Model

A method for quantizing the bidimensional N = 2 supersymmetric nonlinear sigma model is developed. This method is both covariant under coordinate transformations (concerning the order relevant for calculation) and explicitly N = 2 supersymmetric. The operator product expansion of the supercurrent is computed accordingly, including also the dilaton. By imposing the N = 2 superconformal algebra the equations for the metric and the dilaton are obtained. In particular, they imply that the dilaton is a constant.

scholarly journals Supersymmetric nonlinear sigma model in AdS5

2011 ◽  
Vol 702 (4) ◽  
pp. 291-294 ◽  
Author(s):  
Jonathan Bagger ◽  
Jingsheng Li
Keyword(s):  
Sigma Model ◽  
Nonlinear Sigma Model ◽  
Supersymmetric Nonlinear Sigma Model

scholarly journals THE NONCOMMUTATIVE SUPERSYMMETRIC NONLINEAR SIGMA MODEL

2002 ◽  
Vol 17 (11) ◽  
pp. 1503-1516 ◽  
Author(s):  
H. O. GIROTTI ◽  
M. GOMES ◽  
V. O. RIVELLES ◽  
A. J. DA SILVA
Keyword(s):  
Scalar Field ◽  
Sigma Model ◽  
Nonlinear Sigma Model ◽  
Similar Statement ◽  
Moyal Product ◽  
Point Function ◽  
Commutative Case ◽  
Mass Generation ◽  
Dynamical Mass ◽  
Supersymmetric Nonlinear Sigma Model

We show that the noncommutativity of space–time destroys the renormalizability of the 1/N expansion of the O(N) Gross–Neveu model. A similar statement holds for the noncommutative nonlinear sigma model. However, we show that, up to the subleading order in 1/N expansion, the noncommutative supersymmetric O(N) nonlinear sigma model becomes renormalizable in D=3. We also show that dynamical mass generation is restored and there is no catastrophic UV/IR mixing. Unlike the commutative case, we find that the Lagrange multiplier fields, which enforce the supersymmetric constraints, are also renormalized. For D=2 the divergence of the four-point function of the basic scalar field, which in D=3 is absent, cannot be eliminated by means of a counterterm having the structure of a Moyal product.

scholarly journals THE NEUTRALINO SECTOR IN STRONGLY INTERACTING SUPERSYMMETRIC MODELS

1994 ◽  
Vol 09 (39) ◽  
pp. 3691-3701 ◽  
Author(s):  
W.T.A. TER VELDHUIS
Keyword(s):  
Z Boson ◽  
Sigma Model ◽  
Electroweak Symmetry Breaking ◽  
Nonlinear Sigma Model ◽  
Electroweak Symmetry ◽  
Strongly Interacting ◽  
Super Symmetry ◽  
Supersymmetric Models ◽  
Supersymmetric Nonlinear Sigma Model ◽  
Energy Physics

The neutralino sector is analyzed for a supersymmetric nonlinear sigma model. This model describes the low energy physics of strongly interacting theories in which super-symmetry is softly broken at scales below the electroweak symmetry breaking scale. The measured width of the Z boson constrains the allowed range of parameters. In case the lightest neutralino is stable, limits on additional contributions to the invisible width of the Z boson and on the relic neutralino density further restrict parameter space. As a consequence, the lightest neutralino in the considered class of theories is required to have a mass above 15 GeV, but below MZ.

SYMPLECTIC QUANTIZATION OF SUPERFIELDS

1994 ◽  
Vol 09 (31) ◽  
pp. 5563-5581 ◽  
Author(s):  
J. BARCELOS-NETO ◽  
E.S. CHEB-TERRAB
Keyword(s):  
Field Theory ◽  
Sigma Model ◽  
Free Field ◽  
Nonlinear Sigma Model ◽  
Canonical Variables ◽  
Supersymmetric Nonlinear Sigma Model

We show how the extension of the Faddeev-Jackiw symplectic quantization (including true constraints) can be used in superspace. We first deal with supersymmetric free field theory in the component language. After that, we consider the method applied to superfields, taken as canonical variables. We also use the formalism, directly in superfield formulation, for the supersymmetric nonlinear sigma model.

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