Spontaneous breaking of local supersymmetry by gravitational instantons |
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Institution: | 1. Dipartimento di Fisica, Universitá di Genova, Italy;2. I.N.F.N., Sezione di Genova, Italy;3. I.N.F.N., Sezione di Pisa, Italy;4. Dipartimento di Fisica, Università di Pisa, Italy;1. Department of Social Sciences and Health Policy, Wake Forest School of Medicine, Winston-Salem, NC, USA;2. Department of Internal Medicine, Section on Geriatrics and Gerontology, Wake Forest School of Medicine, Winston-Salem, NC, USA;3. Department of Biostatistical Sciences, Wake Forest School of Medicine, Winston-Salem, NC, USA;4. Department of Biostatistics and Bioinformatics, Duke University Medical Center, Durham, NC, USA;5. Department of Neurology, Duke University Medical Center, Durham, NC, USA;6. Department of Psychiatry and Behavioral Sciences, Duke University Medical Center, Durham, NC, USA;1. Department of Neuroscience, University of Texas at Austin, Austin, TX 78712, USA;2. Waggoner Center for Alcohol and Addiction Research, University of Texas at Austin, Austin, TX 78712, USA;3. Institute for Neuroscience, University of Texas at Austin, Austin, TX 78712, USA |
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Abstract: | We study the gravitino condensate 〈(DμΨν − DμΨν)(DμΨν − DνΨμ)〉 in the one-loop approximation around a nontrivial background metric. It turns out that, among the known regular solutions of the euclidean Einstein equations, the Eguchi-Hanson metric is the unique relevant configuration. The standard functional integration gives a finite answer for the gravitino condensate. Due to the presence of an anomalous supersymmetry transformation law, this implies that local supersymmetry is broken spontaneously in all supergravity models with scalar multiplets. |
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