Some remarks on the index theorem approach to anomalies
Maurizio Martellini; Cesare Reina
Annales de l'I.H.P. Physique théorique (1985)
- Volume: 43, Issue: 4, page 443-458
- ISSN: 0246-0211
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top- [1] M.F. Atiyah and I.M. Singer, Dirac operators coupled to vector potentials. Proc. Nati. Acad. Sci., t. 81, 1984, p. 2597. Zbl0547.58033MR742394
- [2] L. Alvarez-Gaumé and P. Ginzparg, The topological meaning of non-abelian anomalies. Nucl. Phys., t. 243 B, 1984, p. 449.
- [3] O. Alvarez, I.M. Singer and B. Zumino, Gravitational anomalies and the family index theorem, Commun. Math. Phys., t. 96, 1984, p. 409. Zbl0587.58042MR769356
- [5] B. Zumino, Chiral anomalies and differential geometry, Les Houches, Lectures, 1983. Zbl0595.53069MR830254
- [6] L. Bonora et P. Cotta-Ramusino, Some remarks on BRS transformations, anomalies and the cohomology of the Lie algebra of the group of gauge transformations, Commun. Math. Phys., t. 87, 1983, p. 589 ; see also L. Bonora and P. Cotta-Ramusino, Anomalies and superfield formalism in gauge theories, Phys. Lett., t. B 107, 1981, p. 87. Zbl0521.53064MR691046
- [7] W.A. Bardeen and B. Zumino, Consistent and covariant anomalies in gauge and gravitational theories, Nucl. Phys., t. B 224, 1984, p. 421. MR762380
- [8] L. Bonora, P. Cotta-Ramusino and C. Reina, Conformal anomaly and cohomology, Phys. Lett., t. 126 B, 1983, p. 305. Zbl0521.53064MR708216
- [9] P. Cotta-Ramusino and C. Reina, The action of the group of bundle automorphisms on the space of connections and the geometry of gauge theories, J. Geometry and Physics, 1985 in press. Zbl0599.53060MR828400
- [10] See e. g. P. Ramond, Field theory: a modern primer, Benjamin, 1981.
- [11] M.F. Atiyah, K-theory, Benjamin, 1967 and M.F. Atiyah, Algebraic topology and operators in Hilbert space in LNM, t. 103, p. 101, Springer, 1968. Zbl0177.51701MR224083
- [12] M.F. Atiyah and I.M. Singer, The index of elliptic operators III, Ann. of Math., t. 87, 1968, p. 546. Zbl0164.24301MR236952
- [13] M.F. Atiyah and J.D.S. Jones, Topological aspects of Yang-Mills theory, Commun. Math. Phys., t. 61, 1978, p. 97. Zbl0387.55009MR503187
- [14] R. Bott and L.W. Tu, Differential forms in algebraic topology, GTM, t. 82, Springer, 1982. Zbl0496.55001MR658304
- [15] M.F. Atiyah, N. Hitchin and I.M. Singer, Self-duality in four dimensional Riemannian geometry, Proc. R. Soc. Lond., t. A 362, 1978, p. 425. Zbl0389.53011MR506229
- [16] L. Alvarez-Gaumé and E. Witten, Gravitational anomalies, Nucl. Phys., t. B 234, 1983, p. 269. MR736803
- [17] G. Falqui and C. Reina, BRS cohomology and topological anomalies. Commun. Math. Phys., 1986, in press. Zbl0613.53055MR818832
- [18] G. Falqui and M. Martellini, Anomalies, counterterms and Chern Simons characteristic classes in odd multi-dimensional Kaluza-Klein theories, Phys. Lett., t. 152 B, 1985, p. 198. MR786790
- [19] L. Baulieu and J. Thierry-Mieg, Algebraic structure of quantum gravity and the classification of the gravitational anomalies, Phys. Lett., t. 145 B, 1984, p. 53. MR757328
- [20] F. Langouche, T. Shucker and R. Stora, Gravitational anomalies of the Adler Bardeen type, Phys. Lett., t. 145 B, 1984, p. 342. MR760602