منابع مشابه
Quantum gauging from classical gauging of nonlinear algebras.
We extend our previous theory of the gauging of classical quadratically nonlinear algebras without a central charge but with a coset structure, to the quantum level. Inserting the minimal anomalies into the classical transformation rules of the currents introduces further quantum corrections to the classical transformation rules of the gauge fields and currents which additively renormalize the ...
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We show that a simple change of the classical boson-fermion coupling constant, 2α → 2αn, n ∈ N, in the superconformal mechanics model gives rise to a radical change of a symmetry: the modified classical and quantum systems are characterized by the nonlinear superconformal symmetry. It is generated by the four bosonic integrals which form the so(1, 2) × u(1) subalgebra, and by the 2(n + 1) fermi...
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Department of Physics, Tamkang University, Tamsui 25137, Taiwan, R.O.C. Abstract We recall the importance of recognizing the different mathematical nature of various concepts relating to PT -symmetric quantum theories. After clarifying the relation between supersymmetry and pseudo-supersymmetry, we prove generically that nonlinear pseudo-supersymmetry, recently proposed by Sinha and Roy, is jus...
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Simultaneous nonlinear realizations of spontaneously broken supersym-metry in conjunction with other spontaneous and/or explicitly broken symmetries including R symmetry, global chiral symmetry, dilatations and the superconformal symmetries is reviewed. If supersymmetry (SUSY) is to be realized in nature, then it must be as a broken symmetry. Moreover, in order to be able to consistently gauge ...
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Quantization of the nonlinear supersymmetry faces a problem of a quantum anomaly. For some classes of superpotentials, the integrals of motion admit the corrections guaranteeing the preservation of the nonlinear supersymmetry at the quantum level. With an example of the system realizing the nonlinear superconformal symmetry, we discuss the nature of such corrections and speculate on their possi...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2006
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.73.125006