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Modifying the Sum Over Topological Sectors and Constraints on Supergravity

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arxiv 1005.0002 v2 pith:2N2EEHEA submitted 2010-04-30 hep-th hep-ph

Modifying the Sum Over Topological Sectors and Constraints on Supergravity

classification hep-th hep-ph
keywords sectorssupergravitytheoryfieldquantumshouldtopologicalallows
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The standard lore about the sum over topological sectors in quantum field theory is that locality and cluster decomposition uniquely determine the sum over such sectors, thus leading to the usual theta-vacua. We show that without changing the local degrees of freedom, a theory can be modified such that the sum over instantons should be restricted; e.g. one should include only instanton numbers which are divisible by some integer p. This conclusion about the configuration space of quantum field theory allows us to carefully reconsider the quantization of parameters in supergravity. In particular, we show that FI-terms and nontrivial Kahler forms are quantized. This analysis also leads to a new derivation of recent results about linearized supergravity.

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