Superconformal symmetry and higher-derivative Lagrangians

Abstract

Superconformal methods are useful to build invariant actions in supergravity. We have a good insight in the possibilities of actions that are at most quadratic in spacetime derivatives, but insight in general higher-derivative actions is missing. Recently higher-derivative actions got more attention for several applications. One of these is the understanding of finiteness of loop computations in supergravities. Divergences can only occur if invariant counterterms or anomalies exist. One can wonder whether conformal symmetry might also play a role in this context. In order to construct higher-derivative supergravities with the conformal methods, one should first get more insight in such rigid supersymmetric actions with extra fermionic symmetries. We show how Dirac--Born--Infeld actions with Volkov--Akulov supersymmetries can be constructed in all orders.

22 pages; Contribution to the proceedings of 'Breaking of supersymmetry and Ultraviolet Divergences in extended Supergravity', Frascati, March 2013, to be published as Springer Lecture Notes

References in corpus (6)

• Three-Loop Superfiniteness of N=8 Supergravity
• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• New supersymmetric higher-derivative couplings: Full N=2 superspace does not count!
• All Off-Shell R^2 Invariants in Five Dimensional N=2 Supergravity
• Dirac-Born-Infeld-Volkov-Akulov and Deformation of Supersymmetry
• Higher Derivative Extension of 6D Chiral Gauged Supergravity

Cited by in corpus (5)

• Invariants for minimal conformal supergravity in six dimensions
• Lyapunov Exponents and Phase Transitions of Born-Infeld AdS Black Holes
• Effects of Born-Infeld electrodynamics on black hole shadows
• Symmetries of $\mathcal{N}=(1,0)$ supergravity backgrounds in six dimensions
• On curves and jets of curves and on supermanifolds