共查询到20条相似文献,搜索用时 15 毫秒
1.
《Physics letters. [Part B]》1987,188(2):214-218
Casimir operators play a central role in the study of cohomology problems for semisimple Lie algebras. An attempt is made to generalize this to strings. This generalization may be useful for studying small oscillations around nontrivial backgrounds. 相似文献
2.
J. A. Dixon 《Communications in Mathematical Physics》1991,140(1):169-201
As a start in a search for possible undiscovered anomalies which might break supersymmetry, a general calculation of BRS cohomology for the Wess Zumino chiral multiplet is performed. The calculation is done using spectral sequences in Fock space. It encompasses the vector space of all integrated local polynomials in the fields and their derivatives. This calculation shows that the BRS cohomology space contains an infinite number of polynomials with ghost charge one. Examples of these polynomials are given. All presently known examples possess uncontracted Lorentz spinor (and possibly vector) indices. A simple extension of these results to super Yang Mills theory indicates that there may be previously unnoticed anomalies in that theory.Research supported in part by the Robert A. Welch Foundation and NSF Grant PHY9009850 相似文献
3.
J. A. Dixon 《Communications in Mathematical Physics》1991,139(3):495-526
A method for finding the general form of the BRS cohomology spaceH for the various gauge and supersymmetry theories is presented. The method is adapted for use in the space of integrated local polynomials of the gauge fields and ghosts with arbitrary numbers of fields and dervivatives. The technique uses the Hodge decomposition in a Fock space with a Euclidean inner product, and combines this with spectral sequences to generate simple and soluble equations whose solutions span a simple spaceE
isomorphic to the complicated spaceH. The technique is illustrated for pedagogic purposes by the detailed calculation of the ghost charge zero and one sectors ofH for Yang-Mills theory with gauge groupSO (32) in ten dimensions. The method is appropriate for supersymmetric theories, gravity, supergravity and superstrings where higher order terms with many derivatives occur naturally in the effective action.Research supported in part by the Robert A. Welch Foundation and NSF Grants PHY 77-18762 and PHY 9009850 相似文献
4.
Supersymmetry transformations are a kind of square root of spacetime translations. The corresponding Lie superalgebra always contains the supertranslation operator
. We find that the cohomology of this operator depends on a spin-orbit coupling in anSU(2) group and has a quite complicated structure. This spin-orbit type coupling will turn out to be basic in the cohomology of supersymmetric field theories in general. 相似文献
5.
Two-dimensional topological gravity and equivariant cohomology 总被引:1,自引:0,他引:1
E. Getzler 《Communications in Mathematical Physics》1994,163(3):473-489
The analogy between topological string theory and equivariant cohomology for differentiable actions of the circle group on manifolds has been widely remarked on. One of our aims in this paper is to make this analogy precise. We show that topological string theory is the derived functor of semi-relative cohomology, just as equivariant cohomology is the derived functor of basic cohomology. That homological algebra finds a place in the study of topological string theory should not surprise the reader, granted that topological string theory is the conformal field theorist's algebraic topology.In [7], we have shown that the cohomology of a topological conformal field theory carries the structure of a batalin-Vilkovisky algebra (actually, two commuting such structures, corresponding to the two chiral sectors of the theory). In the second part of this paper, we describe the analogous algebraic structure on the equivariant cohomology of a topological conformal field theory: we call this structure a gravity algebra. This algebraic structure is a certain generalization of a Lie algebra, and is distinguished by the fact that it has an infinite sequence of independent operations {a
1, ...,a
k
},k2, satisfying quadratic relations generalizing the Jacobi rule. (The operad underlying the category of gravity algebras has been studied independently by Ginzburg-Kapranov [9].)The author is grateful to M. Bershadsky, E. Frenkel, M. Kapranov, G. Moore, R. Plesser and G. Zuckerman for the many ways in which they helped in the writing of this paper; also to the Department of Mathematics at Yale University for its hospitality while part of this paper was written.The author is partially supported by a fellowship of the Sloan Foundation and a research grant of the NSF. 相似文献
6.
We show that ghosts in gauge theories can be interpreted as Maurer-Cartan forms in the infinite dimensional group ? of gauge transformations. We examine the cohomology of the Lie algebra of ? and identify the coboundary operator with the BRS operator. We describe the anomalous terms encountered in the renormalization of gauge theories (triangle anomalies) as elements of these cohomology groups. 相似文献
7.
We examine the BRS cohomology of chiral matter inN=1,D=4 supersymmetry to determine a general form of composite superfield operators which can suffer from supersymmetry anomalies. Composite superfield operators (a, b) are products of the elementary chiral superfieldsS and
and the derivative operatorsD
,
and
. Such superfields (a, b) can be chosen to have a symmetrized undotted indices
i
and b symmetrized dotted indices
. The result derived here is that each composite superfield (a,b) is subject to potential supersymmetry anomalies ifa–b is an odd number, which means that (a,b) is a fermionic superfield. 相似文献
8.
In this paper, two different definitions of the BRST complex are connected. We obtain the BRST complex of topological quantum field theories (leading to equivariant cohomology) from the standard definition of the classical BRST complex (leading to Lie algebra cohomology) provided that we include ghosts for ghosts. Hereby, we use a finite dimensional model with a semi-direct product action ofH DiffM on a configuration spaceM, whereH is a compact Lie group representing the gauge symmetry in this model. 相似文献
9.
José M. Figueroa-O'Farrill 《Communications in Mathematical Physics》1990,127(1):181-186
The recent identification of classical BRST cohomology with the vertical cohomology of a certain fibration is used to compute it in terms of the classical observables and the topology of the gauge orbits. When the gauge orbits are compact and orientable, a duality theorem is exhibited. 相似文献
10.
We present a detailed algebraic study of the N=2 cohomological set-up describing the balanced topological field theory of Dijkgraaf and Moore. We emphasize the role of N=2 topological supersymmetry and
internal symmetry by a systematic use of superfield techniques and of an
covariant formalism. We provide a definition of N=2 basic and equivariant cohomology, generalizing Dijkgraaf’s and Moore’s, and of N=2 connection. For a general manifold with a group action, we show that: (i) the N=2 basic cohomology is isomorphic to the tensor product of the ordinary N=1 basic cohomology and a universal
group theoretic factor; (ii) the affine spaces of N=2 and N=1 connections are isomorphic. 相似文献
11.
We show how the non-abelian anomaly for gauge fields coupled to Weyl fermions in 2n dimensions is related to the non-trivial topology of gauge orbit space. The form of the anomaly and its normalization are shown to follow from a familiar index theorem for a certain (2n + 2)-dimensional Dirac operator. We are thus able to recover and give topological meaning to a variety of results concerning anomalies in 4- and higher-dimensional theories. 相似文献
12.
Ignatios Antoniadis George Savvidy 《The European Physical Journal C - Particles and Fields》2012,72(9):1-13
The very precise combined HERA data provides a testing ground in which the relevance of novel QCD regimes, other than the successful linear DGLAP evolution, in small-x inclusive DIS data can be ascertained. We present a study of the dependence of the AAMQS fits, based on the running coupling BK non-linear evolution equations (rcBK), on the fitted dataset. This allows for the identification of the kinematical region where rcBK accurately describes the data, and thus for the determination of its applicability boundary. We compare the rcBK results with NNLO DGLAP fits, obtained with the NNPDF methodology with analogous kinematical cuts. Further, we explore the impact on LHC phenomenology of applying stringent kinematical cuts to the low-x HERA data in a DGLAP fit. 相似文献
13.
Explicit structures of indecomposable BRS modules have been constructed with suitable illustrations. 相似文献
14.
K. Nishijima 《Physics letters. [Part B]》1982,116(4):295-297
The condition of confinement of quarks and gluons in QCD is derived. It is shown that color confinement is realized when there exist massless scalar color-octet bound states of two Faddeev-Popov ghosts. 相似文献
15.
Kazuhiko Nishijima 《Nuclear Physics B》1984,238(3):601-620
In the canonical formulation of gauge theories the BRS transformation plays a fundamental rôle. The generator of this transformation along with the ghost number forms an algebra called the BRS algebra. Certain properties of this algebra are essential to the proof of unitarity of the S matrix in the physical sector and also to the discussion of color confinement.In the present paper we present all the possible representations of the BRS algebra in the light of indefinite metric. 相似文献
16.
The complete set of anomalous Ward identities for the spontaneous breaking of U(3) × U(3) applied to the pseudoscalar nonet spectrum is shown to provide evidence for gluons, gluon anomalies and non-trivial topological charge. Solutions of the Ward identities give estimates both of the average topological charge of QCD and the underlying pure Yang-Mills theory of gluons. The application of one of the Ward identities ignored in previous phenomenological analyses leads to a clearer understanding of the decays ψ→ηγ and η'γ, and explains the enhancement of SU(3) breaking effects in these decays. 相似文献
17.
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19.
François Gieres 《General Relativity and Gravitation》1989,21(3):237-256
Starting from the geometric BRS differential algebra in superspace, we elucidate a recently given method [1] for deriving the BRS component field algebras of Poincaré supergravity and we extend this formalism to conformai supergravity. For the latter, the general procedure is illustrated in detail by the two-dimensional (1, 0) theory. In conclusion, we explicitly check the consistency of the whole approach and apply it to verify the WZ integrability condition for the (1, 0) superconformai anomaly. 相似文献
20.
The BRS identities for supergravity in the axial gauge are derived and an identity involving the graviton self energy is verified to one-loop. It is demonstrated that even in a gauge where the anti-symmetric part of the vierbein field does not propagate, it does not decouple from the BRS identities. 相似文献