Twin Supergravities from Yang-Mills Squared

Abstract

We consider `twin supergravities' - pairs of supergravities with ${\mathcal{N}}_{+}$ and ${\mathcal{N}}_{-}$ supersymmetries, ${\mathcal{N}}_{+}>{\mathcal{N}}_{-}$, with identical bosonic sectors - in the context of tensoring super Yang-Mills multiplets. It is demonstrated that the pairs of twin supergravity theories are related through their left and right super Yang-Mills factors. This procedure generates new theories from old. In particular, the matter coupled ${\mathcal{N}}_{-}$ twins in $D=3,5,6$ and the ${\mathcal{N}}_{-}=1$ twins in $D=4$ have not, as far as we are aware, been obtained previously using the double-copy construction, adding to the growing list of double-copy constructible theories. The use of fundamental matter multiplets in the double-copy construction leads us to introduce a bi-fundamental scalar that couples to the well-known bi-adjoint scalar field. It is also shown that certain matter coupled supergravities admit more than one factorisation into left and right super Yang-Mills-matter theories.

arXiv commentv2 reference added, 29 pages, 4 figs

References in corpus (80)

• New Relations for Gauge-Theory Amplitudes
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Scattering of Massless Particles: Scalars, Gluons and Gravitons
• Gravity as the Square of Gauge Theory
• Minimal Basis for Gauge Theory Amplitudes
• Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM
• Black holes and the double copy
• Ambitwistor strings and the scattering equations
• The Ultraviolet Behavior of N=8 Supergravity at Four Loops
• The Kinematic Algebra From the Self-Dual Sector
• The classical double copy for Taub-NUT spacetime
• Symmetry structure of special geometries
• Explicit BCJ Numerators from Pure Spinors
• Polylogarithms, Multiple Zeta Values and Superstring Amplitudes
• Loop Integrands for Scattering Amplitudes from the Riemann Sphere
• The double copy: Bremsstrahlung and accelerating black holes
• Ambitwistor strings in 4-dimensions
• The Ultraviolet Properties of N=4 Supergravity at Four Loops
• Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
• Pure Gravities via Color-Kinematics Duality for Fundamental Matter
• Color-Kinematics Duality for Pure Yang-Mills and Gravity at One and Two Loops
• Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
• Algebras for Amplitudes
• One-loop amplitudes on the Riemann sphere
• Yang-Mills origin of gravitational symmetries
• Colour-Kinematics Duality for One-Loop Rational Amplitudes
• Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity
• U-Duality and Central Charges in Various Dimensions Revisited
• One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity
• Strongly Coupled Gravity and Duality
• Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
• Proof of the Formula of Cachazo, He and Yuan for Yang-Mills Tree Amplitudes in Arbitrary Dimension
• Scattering Amplitudes
• Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
• New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes
• The Kinematic Algebras from the Scattering Equations
• The Ultraviolet Structure of Half-Maximal Supergravity with Matter Multiplets at Two and Three Loops
• Color/kinematics duality for general abelian orbifolds of N=4 super Yang-Mills theory
• Berends-Giele recursions and the BCJ duality in superspace and components
• String-inspired BCJ numerators for one-loop MHV amplitudes
• Two-Loop Scattering Amplitudes from the Riemann Sphere
• Exact solutions for the biadjoint scalar field
• Equivalent D=3 Supergravity Amplitudes from Double Copies of Three-Algebra and Two-Algebra Gauge Theories
• On the U(1) duality anomaly and the S-matrix of N=4 supergravity
• Evanescent Effects Can Alter Ultraviolet Divergences in Quantum Gravity without Physical Consequences
• A double copy for $\mathcal{N}=2$ supergravity: a linearised tale told on-shell
• Einstein-Yang-Mills from pure Yang-Mills amplitudes
• A magic pyramid of supergravities
• Manifesting Color-Kinematics Duality in the Scattering Equation Formalism
• Amplitude relations in heterotic string theory and Einstein-Yang-Mills
• Symmetries and Compactifications of (4,0) Conformal Gravity
• Double-Copy Constructions and Unitarity Cuts
• Complete construction of magical, symmetric and homogeneous N=2 supergravities as double copies of gauge theories
• CHY representations for gauge theory and gravity amplitudes with up to three massive particles
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• Amplitudes of 3D and 6D Maximal Superconformal Theories in Supertwistor Space
• 4d/5d Correspondence for the Black Hole Potential and its Critical Points
• A magic square from Yang-Mills squared
• Superconformal symmetry and maximal supergravity in various dimensions
• Degeneration of Groups of Type E7 and Minimal Coupling in Supergravity
• Black-Hole Attractors in N=1 Supergravity
• Gravity as the square of Yang-Mills?
• Colour-Kinematics duality and the Drinfeld double of the Lie algebra of diffeomorphisms
• Amplitudes for Multiple M5 Branes
• Super Yang-Mills, division algebras and triality
• Twin Supergravities
• Global symmetries of Yang-Mills squared in various dimensions
• Graviton and gluon scattering from first principles
• Split Attractor Flow in N=2 Minimally Coupled Supergravity
• Enriques and Octonionic Magic Supergravity Models
• The Complete KLT-Map Between Gravity and Gauge Theories
• Generalized mirror symmetry and trace anomalies
• Magic N=2 supergravities from hyper-free superstrings
• Gravitino Interactions from Yang-Mills Theory
• Chiral Squaring
• The Ultraviolet Critical Dimension of Half-Maximal Supergravity at Three Loops
• Explicit BCJ numerators of nonlinear sigma model
• CHY formula and MHV amplitudes
• One-loop N=8 supergravity coefficients from N=4 super Yang-Mills
• Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities

Cited by in corpus (52)

• Perturbative spacetimes from Yang-Mills theory
• Inelastic Black Hole Scattering from Charged Scalar Amplitudes
• Ultraviolet Properties of N = 8 Supergravity at Five Loops
• The Kerr-Schild double copy in curved spacetime
• Type D Spacetimes and the Weyl Double Copy
• The self-dual classical double copy, and the Eguchi-Hanson instanton
• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
• Gravity as Gauge Theory Squared: A Ghost Story
• A Twistorial Foundation for the Classical Double Copy
• Effective action of dilaton gravity as the classical double copy of Yang-Mills theory
• S-duality and the Double Copy
• Double Copy from Homotopy Algebras
• Topology and Wilson lines: global aspects of the double copy
• The convolutional double copy: a case study with a point
• Extended solutions for the biadjoint scalar field
• Are all supergravity theories Yang-Mills squared?
• The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
• Ehlers as EM duality in the double copy
• Weyl doubling
• Gauged supergravities and spontaneous SUSY breaking from the double copy
• Monopoles, shockwaves and the classical double copy
• Biadjoint wires
• Unraveling conformal gravity amplitudes
• New heavenly double copies
• $D=6$, $\mathcal{N}=(2,0)$ and $\mathcal{N}=(4,0)$ theories
• Asymptotic Weyl Double Copy
• Generalizations of the Double-Copy: the KLT Bootstrap
• Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions
• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
• On the Lagrangian formulation of the double copy to cubic order
• Gauge $\times$ Gauge on Spheres
• Geodesics From Classical Double Copy
• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• A Vertex Operator Algebra Construction of the Colour-Kinematics Dual numerator
• Positive helicity Einstein-Yang-Mills amplitudes from the Double Copy
• KLT-type relations for QCD and bicolor amplitudes from color-factor symmetry
• One-loop Amplitudes for N=2 Homogeneous Supergravities
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• The Classical Double Copy for Half-Maximal Supergravities and T-duality
• Tree-Level Color-Kinematics Duality Implies Loop-Level Color-Kinematics Duality up to Counterterms
• Spinor-helicity formalism for massive and massless amplitudes in five dimensions
• Double Copy from Tensor Products of Metric BV${}^{■}$-algebras
• Symmetrization of Jordan dialgebras
• The Magic Star of Exceptional Periodicity
• The Mile High Magic Pyramid
• Towards an "AdS${}_1/$CFT${}_0$" correspondence from the D$(-1)/$D$7$ system?
• Non-Abelian gauged supergravities as double copies
• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
• The Weyl double copy from twistor space
• From colored gravity to electromagnetism
• Residual Symmetries and Their Algebras in the Kerr-Schild Double Copy
• The Kerr-Schild Double Copy in Lifshitz Spacetime