Stringy cosmic strings in matter coupled N=2, d=4 supergravity

Abstract

We extend the system of ungauged N=2, d=4 supergravity coupled to vector multiplets and hypermultiplets with 2-form potentials. The maximal number of 2-form potentials that one may introduce is equal to the number of isometries of either the special Kaehler or quaternionic Kaehler sigma model. We show that the local supersymmetry algebra can be realized on the 2-form potentials. These 2-forms couple electrically to strings which we refer to as stringy cosmic strings. The 1/2 BPS bosonic world-sheet actions for these strings are constructed and we discuss the properties of the 1/2 BPS stringy cosmic string solutions.

36 pages, added references, corrected typos, modificated Appendix C

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• 4d strings at strong coupling
• The supersymmetric solutions and extensions of ungauged matter-coupled N=1,d=4 supergravity
• Domain walls and instantons in N=1, d=4 supergravity
• Goldstone Bosons and Global Strings in a Warped Resolved Conifold
• On the dualization of scalars into (d-2)-forms in supergravity. Momentum maps, R-symmetry and gauged supergravity
• The Tensor Hierarchies of Pure N=2,d=4,5,6 Supergravities
• Notophs of N = 8 supergravity