Spontaneous = 2 → = 1 supersymmetry breaking in supergravity and type II string theory

Using the embedding tensor formalism we give the general conditions for the existence of = 1 vacua in spontaneously broken = 2 supergravities. Our results confirm the necessity of having both electrically and magnetically charged multiplets in the spectrum, but also show that no further constraints...

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Bibliographic Details
Published in:The journal of high energy physics 2010-03, Vol.2010 (2)
Main Authors: Louis, Jan, Smyth, Paul, Triendl, Hagen
Format: Article
Language:English
Subjects:
Broken symmetry
Charging
Classical and Quantum Gravitation
Elementary Particles
Fluxes
High energy physics
Instantons
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
String Theory
Supergravity
Supersymmetry
Tensors
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Summary:Using the embedding tensor formalism we give the general conditions for the existence of = 1 vacua in spontaneously broken = 2 supergravities. Our results confirm the necessity of having both electrically and magnetically charged multiplets in the spectrum, but also show that no further constraints on the special Kähler geometry of the vector multiplets arise. The quaternionic field space of the hypermultiplets must have two commuting isometries, and as an example we discuss the special quaternionic-Kähler geometries which appear in the low-energy limit of type II string theories. For these cases we find the general solution for stable Minkowski and AdS = 1 vacua, and determine the charges in terms of the holomorphic prepotentials. We find that the string theory realisation of the = 1 Minkowski vacua requires the presence of non-geometric fluxes, whereas they are not needed for the AdS vacua. We also argue that our results should hold in the presence of spacetime and worldsheet instanton corrections.
ISSN:1029-8479
DOI:10.1007/JHEP02(2010)103