On duality symmetries of supergravity invariants
arXiv:1009.0743 · doi:10.1007/JHEP01(2011)020
Abstract
The role of duality symmetries in the construction of counterterms for maximal supergravity theories is discussed in a field-theoretic context from different points of view. These are: dimensional reduction, the question of whether appropriate superspace measures exist and information about non-linear invariants that can be gleaned from linearised ones. The former allows us to prove that F-term counterterms cannot be E7(7)-invariant in D=4, N=8 supergravity or E6(6)-invariant in D=5 maximal supergravity. This is confirmed by the two other methods which can also be applied to D=4 theories with fewer supersymmetries and allow us to prove that N=6 supergravity is finite at three and four loops and that N=5 supergravity is three-loop finite.
Clarification of arguments and their consistency with higher dimensional divergences added, e.g. we prove the 5D 4L non-renormalisation theorem. The 4L N=6 divergence is also ruled out. References added
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Cited by in corpus (62)
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- The Ultraviolet Properties of N=4 Supergravity at Four Loops
- Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
- E7(7) constraints on counterterms in N=8 supergravity
- Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
- Ultraviolet Properties of N = 8 Supergravity at Five Loops
- Absence of Three-Loop Four-Point Divergences in N=4 Supergravity
- Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity
- Basics of Generalized Unitarity
- N >= 4 Supergravity Amplitudes from Gauge Theory at Two Loops
- The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
- The Ultraviolet Structure of Half-Maximal Supergravity with Matter Multiplets at Two and Three Loops
- The vanishing volume of D=4 superspace
- Eikonal methods applied to gravitational scattering amplitudes
- Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure
- Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
- The two-loop five-point amplitude in supergravity
- Double Copy from Homotopy Algebras
- E{7(7)} Symmetry and Finiteness of N=8 Supergravity
- Massive amplitudes on the Coulomb branch of N=4 SYM
- D = 5 maximally supersymmetric Yang-Mills theory diverges at six loops
- On-shell superamplitudes in N<4 SYM
- Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
- Tropical Amplitudes
- The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
- Counterterms vs. Dualities
- Covariant procedures for perturbative non-linear deformation of duality-invariant theories
- N=8 Counterterms and E7(7) Current Conservation
- Amplitudes and Ultraviolet Behavior of N=8 Supergravity
- Superconformal symmetry and maximal supergravity in various dimensions
- Constraining Higher Derivative Supergravity with Scattering Amplitudes
- Anomalies and divergences in N=4 supergravity
- Invariants and divergences in half-maximal supergravity theories
- Minimal unitary representations from supersymmetry
- Covariant actions for models with non-linear twisted self-duality
- Amplitudes at Infinity
- Cancelling the U(1) Anomaly in the S-matrix of N=4 Supergravity
- Higher Derivative Supergravities in Diverse Dimensions
- One-loop four-graviton amplitudes in N=4 supergravity models
- Maximal supergravity in three dimensions: supergeometry and differential forms
- Constitutive relations and Schroedinger's formulation of nonlinear electromagnetic theories
- Ultraviolet behavior of 6D supersymmetric Yang-Mills theories and harmonic superspace
- Eisenstein series for infinite-dimensional U-duality groups
- One-loop Amplitudes for N=2 Homogeneous Supergravities
- Perturbative expansion of N<8 Supergravity
- Loop amplitudes in maximal supergravity with manifest supersymmetry
- On Higher Derivative Couplings in Theories with Sixteen Supersymmetries
- The D^{2k} R^4 Invariants of N=8 Supergravity
- Supervertices and Non-renormalization Conditions in Maximal Supergravity Theories
- On duality symmetry in perturbative quantum theory
- Arguments Against a Finite N=8 Supergravity
- Ectoplasm with an Edge
- Counterterms in Gravity in the Light-Front Formulation and a D=2 Conformal-like Symmetry in Gravity
- Gravity loop integrands from the ultraviolet
- Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory
- Perturbative higher-derivative terms in N=6 asymmetric orbifolds
- Obstruction to E_{7(7)} Deformation in N=8 Supergravity
- Notophs of N = 8 supergravity
- Iwasawa nilpotency degree of non compact symmetric cosets in N-extended Supergravity
- Scattering amplitudes in gauge theories with and without supersymmetry