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Volume 73B, number 1 PHYSICS LETTERS 30 January 1978 A SUPERCURRENT ANOMALY IN SUPERGRAVITY
 

Summary: Volume 73B, number 1 PHYSICS LETTERS 30 January 1978
A SUPERCURRENT ANOMALY IN SUPERGRAVITY
L.F. ABBOTT 1
SLAC, Stanford, CA 94305, USA
Marcus T. GRISARU 2
CERN, Geneva,Switzerland
and
Howard J. SCHNITZER 3
Department of Physics,BrandeisUniversity, Waltham,MA 02154, USA
Received 8 November 1977
It is shown that an anomaly exists for the supercurrent of the supersymmetric vector multiplet when coupled to external
supergravity fields. As a result, this anomaly will alsobe present in at least one of the O(1), O(2), or O(3) extended super-
gravity models.
Recently supercurrent anomalies have been studied in globally supersymmetric models [1,2]. In this paper we
extend that discussion to include aspects of the anomaly question in locally supersymmetric theories by demon-
strating the existence of an anomaly in the supercurrent of the abelian vector multiplet in the presence of (external)
supergravity fields. We use this result to deduce the existence of a supercurrent anomaly in at least one of the
O(1) [3], 0(2) [4], or 0(3) [5] extended supergravity theories.
Let us consider a model consisting of an abelian vector (supersymmetry) multiplet coupled to the (external)
graviton and spin 3/2 fields of ordinary supergravity. The spinor supercurrent of the vector multiplet is

  

Source: Abbott, Laurence - Center for Neurobiology and Behavior & Department of Physiology and Cellular Biophysics, Columbia University

 

Collections: Biology and Medicine