Algebraic Structure and Topological Origin of Anomalies

Stora, R.

doi:10.1007/978-1-4757-0280-4_19

Cited by 118 publications

(230 citation statements)

References 9 publications

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“…We have proved that the method proposed by [1] for solving the descent equations associated with the Wess-Zumino consistency condition is completely equivalent to that based on the well-known "Russian formula" [5,9,10,11,15]. Moreover, it naturally extends to the case of the gravitational anomalies as well as to the recently proposed topological field theories.…”

Section: Discussionmentioning

confidence: 84%

“…(d + s)) is isomorphic to a subspace of the cohomology of [20,21,22]. For what concerns the cohomology of s it turns out [10,11,13,14,15,19] that it is spanned by polynomials in the variables (c, F ) generated by elements of the form…”

Section: Notations and Conventionsmentioning

confidence: 99%

“…To this purpose let us recall that, using the "Russian formula" and the transgression procedure of [5,6,9,10,11,15], we can rewrite the invariant monomial P 2n+2 (F ) as…”

Section: Equivalence With the Russian Formulamentioning

confidence: 99%

“…These equations, as it is well known since several years, can be solved by means of a transgression procedure generated by the so called "Russian formula" [5,9,10,11,15].…”

Section: Introductionmentioning

confidence: 99%

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Some remark on consistent anomalies in gauge theories

Sorella

Tătaru

1994

Physics Letters B

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Section: Discussionmentioning

confidence: 84%

Section: Notations and Conventionsmentioning

confidence: 99%

“…To this purpose let us recall that, using the "Russian formula" and the transgression procedure of [5,6,9,10,11,15], we can rewrite the invariant monomial P 2n+2 (F ) as…”

Section: Equivalence With the Russian Formulamentioning

confidence: 99%

“…These equations, as it is well known since several years, can be solved by means of a transgression procedure generated by the so called "Russian formula" [5,9,10,11,15].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Some remark on consistent anomalies in gauge theories

Sorella

Tătaru

1994

Physics Letters B

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“…The procedure we shall now describe is an extension of the construction [43], [44], [45] to complex manifolds. Let A be the space of all connections on the complex vector bundle E and G be the group of gauge transformations.…”

Section: Descent Equations and Their Solutionmentioning

confidence: 99%

Topological Yang-Mills theory with two fermionic charges. A superfield approach on Kähler manifolds

1996

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The four-dimensional topological Yang-Mills theory with two anticommuting charges is naturally formulated on Kähler manifolds. By using a superspace approach we clarify the structure of the Faddeev-Popov sector and determine the total action. This enables us to perform perturbation theory around any given instanton configuration by manifestly maintaining all the symmetries of the topological theory. The superspace formulation is very useful for recognizing a trivial observable (i.e. having vanishing correlation functions only) as the highest component of a gauge invariant superfield. As an example of non-trivial observables we construct the complete solution to the simultaneous cohomology problem of both fermionic charges. We also show how this solution has to be used in order to make Donaldson's interpretation possible. *

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Local grand unification in the heterotic landscape

Schmidt

2009

Fortschritte der Physik

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We consider the possibility that the unification of the electroweak interactions and the strong force arises from string theory, at energies significantly lower than the string scale. As a tool, an effective grand unified field theory in six dimensions is derived from an anisotropic orbifold compactification of the heterotic string. It is explicitly shown that all anomalies cancel in the model, though anomalous Abelian gauge symmetries are present locally at the boundary singularities. In the supersymmetric vacuum additional interactions arise from higher-dimensional operators. We develop methods that relate the couplings of the effective theory to the location of the vacuum, and find that unbroken discrete symmetries play an important role for the phenomenology of orbifold models. An efficient algorithm for the calculation of the superpotential to arbitrary order is developed, based on symmetry arguments. We furthermore present a correspondence between bulk fields of the orbifold model in six dimensions, and the moduli fields that arise from compactifying four internal dimensions on a manifold with non-trivial gauge background.arXiv:0906.5501v2 [hep-th]

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Algebraic Structure and Topological Origin of Anomalies

Cited by 118 publications

References 9 publications

Some remark on consistent anomalies in gauge theories

Some remark on consistent anomalies in gauge theories

Topological Yang-Mills theory with two fermionic charges. A superfield approach on Kähler manifolds

Local grand unification in the heterotic landscape

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