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297 Result(s)
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Article
Supercurrents in N = 1 Minimal Supergravity in the Superconformal Formalism
We discuss the Einstein tensor, the supercurrent and their conservation laws of old and new minimal formulations of supergravity in the superconformal approach. The variation of the action with respect to the ...
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Article
Open AccessNon-supersymmetric branes
We discuss how to incorporate non-supersymmetric branes in compactifications of type II string theories. We particularly focus on flux compactifications on SU(3) × SU(3) structure manifolds to four dimensions, so...
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Chapter
Matter Multiplets
After the Weyl multiplet is introduced, we can now define matter multiplets whose transformations respect the algebra with structure functions that depend on the fields of the Weyl multiplet. We treat here vec...
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Chapter
Special Geometries
In this chapter we will discuss the geometric concepts behind the special geometries. In terms of the supergravity theories, this means that we will restrict to the bosonic sector of these theories. In the fir...
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Chapter
Gauging Spacetime Symmetries: The Weyl Multiplet
In this chapter, we will discuss the gauge multiplets of the superconformal algebra, called Weyl multiplets. We start by repeating the basic transformation rules for gauge fields and curvatures, and discuss t...
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Chapter
Gauge Fixing of Superconformal Symmetries
In this chapter we combine the actions for vector multiplets and hypermultiplets, containing also compensating multiplets. We gauge fix the superconformal symmetries that are not necessary for the super-Poinca...
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Chapter
Final Results
The previous part of this book first considered conformal couplings, and finally these were projected to a subspace after gauge choices. We saw how then special and quaternionic-Kähler geometries emerge. In th...
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Chapter
Basic Ingredients
We give an introduction to the book, discussing the role of the N = 2 \(\mathcal {N}=2\) theories, its geometric structure, and the superconformal tensor calculus. We also refer to other treatments. We th...
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Article
Open AccessThe \( \mathcal{N} \) = 3 Weyl multiplet in four dimensions
The main ingredient for local superconformal methods is the multiplet of gauge fields: the Weyl multiplet. We construct the transformations of this multiplet for
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Article
Open AccessFayet-Iliopoulos terms in supergravity without gauged R-symmetry
We construct a supergravity-Maxwell theory with a novel embedding of the Fayet-Iliopoulos D-term, leading to spontaneous supersymmetry breaking. The gauging of the R-symmetry is not required and a gravitino ma...
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Article
Open AccessThe supercurrent and Einstein equations in the superconformal formulation
We give a new expression for the supercurrent and its conservation in curved N ...
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Article
Open AccessAbsence of U(1) anomalous superamplitudes in \( \mathcal{N} \) ≥ 5 supergravities
We list all potential candidates for U(1) anomalous non-local 1-loop 4-point amplitudes and higher loop UV divergences in ...
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Article
Open AccessOff-shell Poincaré supergravity
We present the action and transformation rules of Poincaré supergravity coupled to chiral multiplets (z α , χ ...
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Article
Open AccessLinear versus non-linear supersymmetry, in general
We study superconformal and supergravity models with constrained superfields. The underlying version of such models with all unconstrained superfields and linearly realized supersymmetry is presented here, in ...
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Article
Open Access\( \overline{\mathrm{D}3} \) and dS
The role of the D ...
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Chapter and Conference Paper
Superconformal Symmetry and Higher-Derivative Lagrangians
Superconformal methods are useful to build invariant actions in supergravity. We have a good insight in the possibilities of actions that are at most quadratic in spacetime derivatives, but insight in general ...
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Article
Open AccessOn the supersymmetric completion of R + R 2 gravity and cosmology
We revisit and clarify the supersymmetric versions of R + R 2 gravity, in view of the renewed interest to these models in cosmology. We emphasize that the content of the dual standard supe...
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Article
Dirac-Born-Infeld-Volkov-Akulov and deformation of supersymmetry
We deform the action and the supersymmetry transformations of the d = 10 and d = 4 Maxwell supermultiplets so that at each order of the deformation the theory has 16 Maxwell multiplet deformed supersymmetries as ...
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Article
Open AccessHigher derivative extension of 6D chiral gauged supergravity
Six-dimensional (1, 0) supersymmetric gauged Einstein-Maxwell supergravity is extended by the inclusion of a supersymmetric Riemann tensor squared invariant. Both the original model as well as the Riemann tens...
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Article
Erratum: off-shell \( \mathcal{N} \) = (1, 0), D = 6 supergravity from superconformal methods