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We study various$$\\mathcal{N}$$= 2 multiplets in four dimensions by looking at the supersymmetric truncation of four dimensional$$\\mathcal{N}$$= 3 multiplets. Under supersymmetric truncation, the off-shell$$\\mathcal{N}$$= 3 Weyl multiplet reduces to the off-shell N = 2 Weyl multiplet and the off-shell$$\\mathcal{N}$$= 2 vector multiplet (which we will refer to as the central charge multiplet). Under the same truncation, the on-shell$$\\mathcal{N}$$= 3 vector multiplet reduces to the on-shell$$\\mathcal{N}$$= 2 vector multiplet and an on-shell massive hypermultiplet with a broken rigid SU(2) and a non-trivial central charge transformation. We use the field equations of this hypermultiplet to eliminate some of the fields of the central charge multiplet in terms of the fields of the hypermultiplet and a dual tensor gauge field (similar in spirit to how a dilaton Weyl multiplet is constructed). This results in a new off-shell matter multiplet, with 8 + 8 degrees of freedom, containing scalar fields and a tensor gauge field, which we refer to as the scalar-tensor multiplet.

Abstract We construct new classes of supersymmetric AdS2 × Σ solutions of 4d gauged supergravity in presence of charged hypermultiplet scalars, with Σ the complex weighted projective space known as a spindle. These solutions can be viewed as near-horizon geome- tries of asymptotically Anti de-Sitter (AdS4) black holes with magnetic fluxes that admit embedding in 11d on Sasaki-Einstein (SE7) manifolds, which renders them of holographic interest. We show that in each case the Bekenstein-Hawking entropy follows from the procedure of gluing two gravitational blocks, ultimately determined by SE7 data. This allows us to establish the general form of the gravitational blocks in gauged 4d N $$ \\mathcal{N} $$ = 2 supergravity with charged scalars and massive vectors. Holographically, our results provide a large N answer for the spindle index with anti-twist and additional mesonic or baryonic fluxes of a number of N $$ \\mathcal{N} $$ = 2 Chern-Simons-matter theories.

We construct the first complete exceptional field theory that is based on an infinite-dimensional symmetry group. E 9 exceptional field theory provides a unified description of eleven-dimensional and type IIB supergravity covariant under the affine Kac-Moody symmetry of two-dimensional maximal supergravity. We present two equivalent formulations of the dynamics, which both rely on a pseudo-Lagrangian supplemented by a twisted self-duality equation. One formulation involves a minimal set of fields and gauge symmetries, which uniquely determine the entire dynamics. The other formulation extends$$ {\\mathfrak{e}}_9 $$e 9 by half of the Virasoro algebra and makes direct contact with the integrable structure of two-dimensional supergravity. Our results apply directly to other affine Kac-Moody groups, such as the Geroch group of general relativity.

In matter coupled F(4) gauged supergravity in six dimensions, we study supersymmetric AdS6 black holes with various horizon geometries. We find new AdS2×Σg1×Σg2\\[ Ad{S}_2\\times {\\varSigma}_{{\\mathfrak{g}}_1}\\times {\\varSigma}_{{\\mathfrak{g}}_2} \\] horizons with g\\[ \\mathfrak{g} \\]1> 1 and g\\[ \\mathfrak{g} \\]2> 1, and present the black hole solution numerically. The full black hole is an interpolating geometry between the asymptotically AdS6 boundary and the AdS2×Σg1×Σg2\\[ Ad{S}_2\\times {\\varSigma}_{{\\mathfrak{g}}_1}\\times {\\varSigma}_{{\\mathfrak{g}}_2} \\] horizon. We also find black holes with horizons of Kähler four-cycles in Calabi-Yau fourfolds and Cayley four-cycles in Spin(7) manifolds.

Abstract We construct a dilaton Weyl multiplet for N $$ \\mathcal{N} $$ = 3 conformal supergravity in four dimensions. We couple an on-shell vector multiplet to the standard Weyl multiplet and use the field equations of the vector multiplet to replace some of the components of the auxiliary fields of the standard Weyl multiplet with the fields of the vector multiplet and some dual gauge fields. The R-symmetry of the multiplet is SU(2) × U(1) × U(1). Furthermore, we gauge fix one of the two U(1) symmetries and rewrite the result for the dilaton Weyl multiplet with SU(2) × U(1) R-symmetry.

In this paper, the$$ \\mathcal{A} $$A -theory, an extension of F-theory, is described as a fully U-duality covariant brane theory. This theory has some distinguishing features not known from world-sheet models. In particular, seen as a sigma model, both world-volume and target space coordinates are specific representations of the same group (the U-duality group). The U-duality group in question is an exceptional group (a split form of the E d series). The structure of this group allows it to encompass both the T-duality group of string theory as well as the general linear symmetry group of$$ \\mathcal{M} $$M -theory.$$ \\mathcal{A} $$A -theory is defined by the current algebras in Hamiltonian formalism, or by world-volume actions in Lagrangian formalism. The spacetime coordinates are selfdual gauge fields on the world-volume, requiring the Gauß law constraints tying the world-volume to spacetime. Solving the Gauß law constraints/the Virasoro constraints gives the world-volume/spacetime sectioning from$$ \\mathcal{A} $$A -theory to$$ \\mathcal{T} $$T -theory/$$ \\mathcal{M} $$M -theory respectively. The$$ \\mathcal{A} $$A -theory Lagrangian admits extended symmetry which has not been observed previously in the literature, where the background fields include both the spacetime and the world-volume gravitational fields. We also constructed the four-point amplitude of$$ \\mathcal{A} $$A -theory in the low energy limit. The amplitude is written in a way that the U-duality symmetry is manifest, but after solving the section condition, it reduces to the usual four-graviton amplitude. In the previous papers, we have referred to this model as F-theory, however, F-theory initiated by Vafa is now a big branch of string theory as the study of elliptic fibrations, so we refer to these constructions as generalized models of theory for all dimensions with all duality symmetries as$$ \\mathcal{A} $$A -theory.

We construct the scalar potential for the exceptional field theory based on the affine symmetry group E9. The fields appearing in this potential live formally on an infinite-dimensional extended spacetime and transform under E9 generalised diffeomorphisms. In addition to the scalar fields expected from D = 2 maximal supergravity, the invariance of the potential requires the introduction of new constrained scalar fields. Other essential ingredients in the construction include the Virasoro algebra and indecomposable representations of E9. Upon solving the section constraint, the potential reproduces the dynamics of either eleven-dimensional or type IIB supergravity in the presence of two isometries.

A bstract We compute classical gravitational observables for the scattering of two spinless black holes in general relativity and N =8 supergravity in the formalism of Kosower, Maybee, and O’Connell (KMOC). We focus on the gravitational impulse with radiation reaction and the radiated momentum in black hole scattering at O ( G 3 ) to all orders in the velocity. These classical observables require the construction and evaluation of certain loop-level quantities which are greatly simplified by harnessing recent advances from scattering amplitudes and collider physics. In particular, we make use of generalized unitarity to construct the relevant loop integrands, employ reverse unitarity, the method of regions, integration-by-parts (IBP), and (canonical) differential equations to simplify and evaluate all loop and phase-space integrals to obtain the classical gravitational observables of interest to two-loop order. The KMOC formalism naturally incorporates radiation effects which enables us to explore these classical quantities beyond the conservative two-body dynamics. From the impulse and the radiated momentum, we extract the scattering angle and the radiated energy. Finally, we discuss universality of the impulse in the high-energy limit and the relation to the eikonal phase.