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22 papers found.
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Exact ∇4ℛ4 couplings and helicity supertraces

In type II string theory compactified on a d-dimensional torus T d down to D = 10−ddimensions,the ℛ4 and ∇4ℛ4 four-gravitoncouplingsareknownexactly,forall values of the moduli, in terms of certain Eisenstein series of the U-duality group E d (ℤ). In the limit where one circle in the torus becomes large, these couplings are expected to reduce to their counterpart in dimension D +1, ...

Beyond E 11

We study the non-linear realisation of E 11 originally proposed by West with particular emphasis on the issue of linearised gauge invariance. Our analysis shows even at low levels that the conjectured equations can only be invariant under local gauge transformations if a certain section condition that has appeared in a different context in the E 11 literature is satisfied. This ...

Bolting multicenter solutions

We introduce a solvable system of equations that describes non-extremal multicenter solutions to six-dimensional ungauged supergravity coupled to tensor multiplets. The system involves a set of functions on a three-dimensional base metric. We obtain a family of non-extremal axisymmetric solutions that generalize the known multicenter extremal solutions, using a particular base ...

Loops in exceptional field theory

We study certain four-graviton amplitudes in exceptional field theory in dimensions D ≥ 4 up to two loops. As the formulation is manifestly invariant under the U-duality group \( {E}_{11-D}\left(\mathbb{Z}\right) \), our resulting expressions can be expressed in terms of automorphic forms. In the low energy expansion, we find terms in the M-theory effective action of type R 4, ∇4 R ...

Supergravity divergences, supersymmetry and automorphic forms

We investigate the occurrence of divergences in maximal supergravity in various dimensions from the point of view of supersymmetry constraints on the U-duality invariant threshold functions defining the higher derivative couplings in the effective action. Our method makes use of tensorial differential equations that constrain these couplings. We study in detail the Fourier modes ...

The two ∇6 R 4 type invariants and their higher order generalisation

We show that there are two distinct classes of ∇6 R 4 type supersymmetry invariants in maximal supergravity. The second class includes a coupling in F 2∇4 R 4 that generalises to 1/8 BPS protected F 2k ∇4 R 4 couplings. We work out the supersymmetry constraints on the corresponding threshold functions, and argue that the functions in the second class satisfy to homogeneous ...

Floating JMaRT

We define a new partially solvable system of equations that parametrises solutions to six-dimensional \( \mathcal{N}=\left(1,\ 0\right) \) ungauged supergravity coupled to tensor multiplets. We obtain this system by applying a series of dualities on the known floating brane system, imposing that it allows for the JMaRT solution. We construct an explicit multi-centre solution ...

ε∇4 R 4 type invariants and their gradient expansion

We analyse the constraints from supersymmetry on ∇4 R 4 type corrections to the effective action in \( \mathcal{N}=2 \) supergravity in eight dimensions. We prove that there are two classes of invariants that descend respectively from type IIA and type IIB supergravity. We determine the first class as d-closed superforms in superspace in eight dimensions, whereas we obtain the ...

Ultraviolet behavior of 6D supersymmetric Yang-Mills theories and harmonic superspace

We revisit the issue of higher-dimensional counterterms for the \( \mathcal{N}=\left(1,1\right) \) supersymmetric Yang-Mills (SYM) theory in six dimensions using the off-shell \( \mathcal{N}=\left(1,0\right) \) and on-shell \( \mathcal{N}=\left(1,1\right) \) harmonic superspace approaches. The second approach is developed in full generality and used to solve, for the first time, ...

Minimal unitary representations from supersymmetry

Guillaume Bossard 0 Valentin Verschinin 0 0 Centre de Physique Theorique , Ecole Polytechnique, CNRS, 91128 Palaiseau cedex, France We compute the supersymmetry constraints on the R4 type

Non-BPS multi-bubble microstate geometries

We construct the first smooth horizonless supergravity solutions that have two topologically-nontrivial three-cycles supported by flux, and that have the same mass and charges as a non-extremal D1-D5-P black hole. Our configurations are solutions to six-dimensional ungauged supergravity coupled to a tensor multiplet, and uplift to solutions of Type IIB supergravity. The solutions ...

A bubbling bolt

We present a new solvable system, solving the equations of five-dimensional ungauged \( \mathcal{N} \) = 1 supergravity coupled to vector multiplets, that allows for non-extremal solutions and reduces to a known system when restricted to the floating brane Ansatz. A two-centre globally hyperbolic smooth geometry is obtained as a solution to this system, describing a bubble linking ...

Non-BPS walls of marginal stability

Guillaume Bossard 1 Stefanos Katmadas 1 0 Institut de Physique Tehorique , CEA Saclay, CNRS-URA 2306, 91191 Gif sur Yvette, France 1 Centre de Physique Tehorique , Ecole Polytechnique, CNRS, 91128

Duality covariant multi-centre black hole systems

We present a manifestly duality covariant formulation of the composite nonBPS and almost-BPS systems of multi-centre black hole solutions in four dimensions. The method of nilpotent orbits is used to define the two systems in terms of first order flow equations that transform covariantly under the duality group. Subsequently, we rewrite both systems of equations in terms of real, ...

Octonionic black holes

Guillaume Bossard 0 0 Centre de Physique Theorique , Ecole Polytechnique, CNRS, 91128 Palaiseau cedex, France Using algebraic tools inspired by the study of nilpotent orbits in simple Lie algebras

Duality covariant non-BPS first order systems

Guillaume Bossard 0 Stefanos Katmadas 0 0 Centre de Physique Theorique , E We study extremal black hole solutions to four dimensional N = 2 supergravity based on a cubic symmetric scalar manifold

The extremal black holes of \({\mathcal{N} = 4}\) supergravity from \({\mathfrak{so}(8, 2 + n)}\) nilpotent orbits

Guillaume Bossard We consider the stationary solutions of N = 4 supergravity coupled to n vector multiplets that define linear superpositions of non-interacting extremal black holes. The most

Counterterms vs. dualities

Guillaume Bossard 1 Hermann Nicolai 0 0 AEI, Max-Planck-Institut fur Gravitationsphysik , Am Muhlenberg 1, D-14476 Potsdam, Germany 1 Centre de Physique Theorique , Ecole Polytechnique, CNRS, 91128

Multi-black holes from nilpotent Lie algebra orbits

Guillaume Bossard Hermann Nicolai For N 2 supergravities, BPS black hole solutions preserving four supersymmetries can be superposed linearly, leading to well defined solutions containing an

E7(7) symmetry in perturbatively quantised \( \mathcal{N} = 8 \) supergravity

We study the perturbative quantisation of \( \mathcal{N} = 8 \) supergravity in a formulation where its E 7(7) symmetry is realised off-shell. Relying on the cancellation of SU(8) current anomalies we show that there are no anomalies for the non-linearly realised E 7(7) either; this result extends to all orders in perturbation theory. As a consequence, the \( {\mathfrak{e}_{7(7)}} ...