Note on constrained cohomology

Delduc, F.; Maggiore, Nicola; Piguet, O.; Wolf, Sylvain

doi:10.1016/0370-2693(96)00879-9

Cited by 18 publications

(29 citation statements)

References 25 publications

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“…We observe that this is true only because we are assuming that the original global symmetries are Abelian (eqs. (13)). Now, the process of gauging the symmetry associated to the set of parameters ǫ a does not modify the form of the generators R m α and R r α .…”

Section: Global Abelian Anomalies In the Bv Quantizationmentioning

confidence: 99%

Global anomalies in the Batalin-Vilkovisky quantization

Amorim

Braga

1998

Phys. Rev. D

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The Batalin-Vilkovisky ͑BV͒ quantization provides a general procedure for calculating anomalies associated with gauge symmetries. Recent results show that even higher loop order contributions can be calculated by introducing an appropriate regularization-renormalization scheme. However, in its standard form, the BV quantization is not sensible to quantum violations of the classical conservation of Noether currents, the socalled global anomalies. We show here that the BV field-antifield method can be extended in such a way that the Ward identities involving divergencies of global Abelian currents can be calculated from the generating functional, a result that would not be obtained by just associating constant ghosts to global symmetries. This extension, consisting of trivially gauging the global Abelian symmetries, poses no extra obstruction to the solution of the master equation, as happens in the case of gauge anomalies. We illustrate the procedure with the axial model and also calculating the Adler-Bell-Jackiw anomaly. ͓S0556-2821͑97͒04524-4͔

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Section: Global Abelian Anomalies In the Bv Quantizationmentioning

confidence: 99%

Global anomalies in the Batalin-Vilkovisky quantization

Amorim

Braga

1998

Phys. Rev. D

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“…[7]), constant ghosts are introduced of ghost number 1 and of Grassmann parity opposite to that of the symmetry parameter [8]. The Ward identities then follow by solving an extended master equation [8][9][10], the explicit form of which will be given below. This approach, which works even if the gauge-fixing procedure does not preserve manifest invariance under the rigid symmetry, has proved useful in the investigation of the renormalization and anomaly problems in globally supersymmetric models [11,12].…”

mentioning

confidence: 99%

Extended antifield formalism

1998

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“…The crucial point is that the cohomology of Q T is only non-trivial if one restricts the space of polynomials to those which are analytical in the global ghosts t, ǫ µ and t µ [16]. In fact, the cohomological classes are generated by monomials P n (φ) of the undifferentiated fields φ…”

Section: N=2 D=4 Sym and Topological Yang-millsmentioning

confidence: 99%

“…The analysis of the proof in [16] is based on a filtration of the functional space (which contains the constant ghosts t, ǫ µ , τ µ ), and of the BRST operator with respect to the counting operator N = t∂ t . One has Q T = 2 n=0 Q n , where…”

Section: N=2 D=4 Sym and Topological Yang-millsmentioning

confidence: 99%

On the BRST Cohomology of Superstrings with/without Pure Spinors

Grassi¹,

Policastro²,

Nieuwenhuizen³

2003

Advances in Theoretical and Mathematical Physics

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We replace our earlier condition that physical states of the superstring have non-negative grading by the requirement that they are analytic in a new real commuting constant t which we associate with the central charge of the underlying Kac-Moody superalgebra.The analogy with the twisted N=2 SYM theory suggests that our covariant superstring is a twisted version of another formulation with an equivariant cohomology. We prove that our vertex operators correspond in one-to-one fashion to the vertex operators in Berkovits' approach based on pure spinors. Also the zero-momentum cohomology is equal in both cases. Finally, we apply the methods of equivariant cohomology to the superstring, and obtain the same BRST charge as obtained earlier by relaxing the pure spinor constraints.

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Note on constrained cohomology

Abstract: Abstract

Cited by 18 publications

References 25 publications

Global anomalies in the Batalin-Vilkovisky quantization

Global anomalies in the Batalin-Vilkovisky quantization

Extended antifield formalism

On the BRST Cohomology of Superstrings with/without Pure Spinors

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