共查询到20条相似文献,搜索用时 11 毫秒
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《Physics letters. [Part B]》1987,184(4):353-358
The “projective” Ward identities for the super Kac-Moody algebra are solved in order to determine the three- and four-point functions in the N=1 superspace. Linear super-equations are derived for the correlation functions of degenerate operators. These equations are solved for the three- and four-point functions, proving the closure of the operator algebra of the super Wess-Zumino model. 相似文献
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Arthur Jaffe Andrzej Lesniewski Jonathan Weitsman 《Communications in Mathematical Physics》1988,114(1):147-165
We construct a family of supersymmetric, two-dimensional quantum field models. We establish the existence of the HamiltonianH and the superchargeQ as self-adjoint operators. We establish the ultraviolet finiteness of the model, independent of perturbation theory. We develop functional integral representations of the heat kernel which are useful for proving estimates in these models. In a companion paper [1] we establish an index theorem forQ, an infinite dimensional Dirac operator on loop space. This paper and, another related one [2], provide the technical justification for our claim thatQ is Fredholm, and for our computation of its index by a homotopy onto quantum mechanics.Supported in part by the National Science Foundation under Grant DMS/PHY 86-45122Hertz Foundation Graduate Fellow 相似文献
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We construct a convergent cluster expansion for the two-dimensionalN=2 Wess-Zumino model, in a region of parameter space where there are multiple phase. As a result of this expansion, we are able to construct the infinite volume field theory and demonstrate exponential decay of correlations. We are also able to investigate the different phases of the model, develop the phase diagram, and show that the free energy of each phase vanishes.Supported in part by National Science Foundation grants DMS 90-08827, PHY/DMS 88-16214 and DMS 88-58073Supported in part by National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship DMS 88-07291 相似文献
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L. Mezincescu 《Nuclear Physics B》1984,241(2):605-612
We prove that the assumption of invariance under “isospin rotations”, i.e. automorphisms of N = 2 supersymmetric charges, implies that there is no local renormalizable interaction among scalar hypermultiplets. 相似文献
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R. Flume 《Nuclear Physics B》1983,217(2):531-543
It is assumed that N = 1 supersymmetric Yang-Mills fields coupled to chiral matter fields can be renormalized in a covariant Wess-Zumino gauge with a minimal number of subtractions so that the Ward identities of supersymmetry, ordinary gauge invariance and matter-field-flavour symmetries are satisfied. The chiral Yukawa couplings are supposed to remain unrenormalized. I show that on the basis of these assumptions an N = 4 extended manifestly O(4) invariant theory can be constructed with finite Yukawa and φ4 couplings. A consequence of these non-renormalizations is the vanishing of the renormalization group β function. 相似文献
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We establish bounds uniform in the ultraviolet cutoff (i.e., in the number of degrees of freedom) for a family of two-dimensional Wess-Zumino models. These estimates are useful in proving existence of the models, as well as in investigating their properties. For example, we require these estimates for the analysis of the supercharge and of the Hamiltonian. These are the fundamental a priori estimates for elliptic regularity in infinite dimensions.Supported in part by the National Science Foundation under Grant DMS/PHY 86-45122 相似文献
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Siegel W 《Physical review letters》1992,69(10):1493-1495
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A. M. Semikhatov 《JETP Letters》1996,64(2):127-134
sℓ(2|1) affine algebra is realized on the world sheet of an N=2 string in a conformal gauge.
Pis’ma Zh. éksp. Teor. Fiz. 64, No. 2, 116–1 21 (25 July 1996) 相似文献
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S G Kamath 《Pramana》1988,30(4):299-304
The superconformal trace anomaly is worked out to one-loop order in perturbation theory for the 1+1 dimensional Wess-Zumino
model. 相似文献
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《Nuclear Physics B》1995,444(3):468-486
In this paper we construct a (2,2) dimensional string theory with manifest N = 1 spacetime supersymmetry. We use Berkovits' approach of augmenting the spacetime supercoordinates by the conjugate momenta for the fermionic variables. The worldsheet symmetry algebra is a twisted and truncated “small” N = 4 superconformal algebra. The realisation of the symmetry algebra is reducible with an infinite order of reducibility. We study the physical states of the theory by two different methods. In one of them, we identify a subset of irreducible constraints, which is by itself critical. We construct the BRST operator for the irreducible constraints, and study the cohomology and interactions. This method breaks the SO(2,2) spacetime symmetry of the original reducible theory. In another approach, we study the theory in a fully covariant manner, which involves the introduction of infinitely many ghosts for ghosts. 相似文献
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Martin Legare 《Letters in Mathematical Physics》1989,18(4):299-306
The symmetry reduction of the Wess-Zumino model by subgroups of the Poincaré group is investigated. A class of bidimensional subgroups of SO(3, 1) leading to supersymmetric residual systems is given. The reduction by a representative is carried out and the on-shell residual supersymmetry transformations are exhibited. 相似文献
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《Journal of Nonlinear Mathematical Physics》2013,20(4):433-444
Abstract Three nonequivalent real forms of the complex twisted N=2 supersymmetric Toda chain hierarchy (solv-int/9907021) in real N=1 superspace are presented. It is demonstrated that they possess a global twisted N=2 supersymmetry. We discuss a new superfield basis in which the supersymmetry transformations are local. Furthermore, a representation of this hierarchy is given in terms of two twisted chiral N=2 superfields. The relations to the s-Toda hierarchy by H. Aratyn, E. Nissimov and S. Pacheva (solv-int/9801021) as well as to the modified and derivative NLS hierarchies are established. 相似文献