Quantum Gravity and String Theory

    

The Generic Action Principles of Conformal Supergravity

Authors: Boris Stoyanov

All N = 4 conformal supergravities in four space-time dimensions are constructed. These are theonly N = 4 supergravity theories whose actions are invariant under off-shell supersymmetry. Theyare encoded in terms of a holomorphic function that is homogeneous of zeroth degree in scalarfields that parametrize an SU(1, 1)/U(1) coset space. When this function equals a constantthe Lagrangian is invariant under continuous SU(1, 1) transformations. Based on the knownnon-linear transformation rules of the Weyl multiplet fields, the action of N = 4 conformalsupergravity is constructed up to terms quadratic in the fermion fields. The bosonic sectorcorrects a recent result in the literature. The construction of these higher-derivative invariantsalso opens the door to various applications for non-conformal theories.

Comments: 27 Pages.

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Submission history

[v1] 2023-01-23 00:47:27

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