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Constraints on low-dimensional string compactifications

Authors
Journal
Nuclear Physics B
0550-3213
Publisher
Elsevier
Publication Date
Volume
480
Identifiers
DOI: 10.1016/s0550-3213(96)00483-x
Keywords
  • Particle Physics

Abstract

Abstract We study the restrictions imposed by cancellation of the tadpoles for two-, three-, and four-form gauge fields in string theory, M-theory and F-theory compactified to two, three and four dimensions, respectively. For a large class of supersymmetric vacua, turning on a sufficient number of strings, membranes and three-branes, respectively, can cancel the tadpoles, and preserve supersymmetry. However, there are cases where the tadpole cannot be removed in this way, either because the tadpole is fractional, or because of its sign. For M-theory and F-theory compactifications, we also explore the relation of the membranes and three-branes to the non-perturbative space-time superpotential.

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