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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 91; Journal Issue: 2; Journal ID: ISSN 1550-7998
American Physical Society
Country of Publication:
United States

Citation Formats

Butter, Daniel, and Gaillard, Mary K. ANOMALY STRUCTURE OF REGULARIZED SUPERGRAVITY. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.91.025015.
Butter, Daniel, & Gaillard, Mary K. ANOMALY STRUCTURE OF REGULARIZED SUPERGRAVITY. United States. doi:10.1103/PhysRevD.91.025015.
Butter, Daniel, and Gaillard, Mary K. 2015. "ANOMALY STRUCTURE OF REGULARIZED SUPERGRAVITY". United States. doi:10.1103/PhysRevD.91.025015.
author = {Butter, Daniel and Gaillard, Mary K.},
abstractNote = {},
doi = {10.1103/PhysRevD.91.025015},
journal = {Physical Review D},
number = 2,
volume = 91,
place = {United States},
year = 2015,
month = 1

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.91.025015

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Cited by: 2works
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  • We display the full anomaly structure of supergravity, including new D-term contributions to the conformal anomaly. This expression has the super-Weyl and chiral U(1){sub K} transformation properties that are required for implementation of the Green-Schwarz mechanism for anomaly cancellation. We outline the procedure for full anomaly cancellation. Our results have implications for effective supergravity theories from the weakly coupled heterotic string theory.
  • The relation between super-Virasoro anomaly and super-Weyl anomaly in N=1 NSR superstring coupled with 2D supergravity is investigated from the canonical theoretical viewpoint. The WZW action canceling the super-Virasoro anomaly is explicitly constructed. It is super-Weyl invariant but nonlocal functional of 2D supergravity. The nonlocality can be remedied by the super-Liouville action, which in turn recovers the super-Weyl anomaly. The final gravitational effective action turns out to be local but noncovariant super-Liouville action, describing the dynamical behavior of the super-Liouville fields. The BRST invariance of this approach is examined in the superconformal gauge and in the light-cone gauge. {copyright} 1997more » Academic Press, Inc.« less
  • The chiral anomaly in D = 4 supergravity coupled to supersymmetric Yang-Mills theory is evaluated by using the path integral approach. The authors consider not only the minimal coupling between the gravitational and gauge fields and the fermion fields but also the interaction term which mixes the gravitino and gaugino. The explicit form of the new anomalous term is given by rewriting the resultant term obtained in flat space in a form corresponding to curved space.
  • The authors show that the superspace formulation of anomaly free supergravity based on the 2-form B/sup (2)/ and the 6-form B/sup (6)/ are asymmetrical. B/sup (6)/ is the electric potential while B/sup (2)/ is the magnetic one. As a consequence, the Bianchi-identity associated with the B/sup (2)/ formulation is the in homogeneous Maxwell equation which provides a full account of the dynamics. The Bianchi identity associated with B/sup (6)/ is the homogeneous Maxwell equation: a mere identity which yields no information on the dynamics. It admits a universal ''offshell'' solution.
  • Using a theorem by Bonora-Pasti and Tonin on the existence of a solution for D = 10 N = 1 Bianchi identities in the presence of a Lorentz Chern Simons term, the authors find an explicit parametrization of the superspace curvatures. Their solution depends only on one free parameter which can be reabsorbed in a field redefinition of the dilaton and of the gravitello. They emphasize that the essential point which enables them to obtain a closed form for the curvature parametrizations and hence for the supersymmetry transformation rules is the use of first order formalism. The spin connection ismore » known once the torsion is known. The solution of Bianchi identities exhibited in this paper corresponds to a D = 10 anomaly free supergravity (AFS). This theory is unique in first order formalism but corresponds to various theories in second order formalism. Indeed the torsion equation is a differential equation which, in order to be solved must be supplemented with boundary conditions. It is shown in this paper the rheonomic solution of the super Poincare Bianchi identities is unique.« less