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Diaconescu-Moore-Witten anomaly

Contents

Context

String theory

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Contents

Idea

A potential quantum anomaly in M-theory/type IIA string theory.

References

General

The anomaly was found in

while mostly assuming vanishing NS-fields (the B-field). The non-vanihshing B-field in this context was considered in

where however the anomaly as such is not discussed. This was then put together in

which hence discusses the anomaly for twisted K-theory.

Interpretaton as Orientation in second integral Morava K-theory

An interpretation of the phenomenon in terms of orientation in second integral Morava K-theory is in

chromatic levelgeneralized cohomology theory / E-∞ ringobstruction to orientation in generalized cohomologygeneralized orientation/polarizationquantizationincarnation as quantum anomaly in higher gauge theory
1complex K-theory KUKUthird integral SW class W 3W_3spin^c-structureK-theoretic geometric quantizationFreed-Witten anomaly
2EO(n)Stiefel-Whitney class w 4w_4
2integral Morava K-theory K˜(2)\tilde K(2)seventh integral SW class W 7W_7Diaconescu-Moore-Witten anomaly in Kriz-Sati interpretation

Last revised on August 14, 2013 at 19:31:26. See the history of this page for a list of all contributions to it.