Global anomalies in M-theory
نویسندگان
چکیده
منابع مشابه
Global Anomalies in M -theory
We first consider M -theory formulated on an open eleven-dimensional spin-manifold. There is then a potential anomaly under gauge transformations on the E8 bundle that is defined over the boundary and also under diffeomorphisms of the boundary. We then consider M -theory configurations that include a five-brane. In this case, diffeomorphisms of the eleven-manifold induce diffeomorphisms of the ...
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We present an M-theory proof of the anomaly of Freed and Witten which in general shifts the quantisation law for the U(1) gauge field on a D6-brane. The derivation requires an understanding of how fields on the D6-brane lift to Mtheory, together with a localisation formula which we prove using a U(1)-index theorem. We also show how the anomaly is related to the K-theory classification of Ramond...
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As first realized by Witten an SU(2) gauge theory coupled to a single Weyl fermion suffers from a global anomaly. This problem is addressed here in the context of the recent developments on chiral gauge theories on the lattice. We find Witten’s anomaly manifests in the impossibility of defining globally a fermion measure that reproduces the proper continuum limit. Moreover, following Witten’s o...
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When M-theory is compactified on G2-holonomy manifolds with conical singularities, charged chiral fermions are present and the low-energy fourdimensional theory is potentially anomalous. We reconsider the issue of anomaly cancellation, first studied by Witten. We propose a mechanism that provides local cancellation of all gauge and mixed gauge-gravitational anomalies, i.e. separately for each c...
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The M-theory fieldstrength and its dual, given by the integral lift of the left hand side of the equation of motion, both satisfy certain cohomological properties. We study the combined fields and observe that the multiplicative structure on the product of the corresponding degree four and degree eight cohomology fits into that given by Spin K-theory. This explains some earlier results and lead...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1998
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(98)00003-0