N=1 Sigma Models in AdS_4
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In this article, the authors study sigma models in AdS_4 with global N=1 supersymmetry and find that the target space is constrained to be a Kahler manifold with an exact Kahler form.Abstract:
We study sigma models in AdS_4 with global N=1 supersymmetry and find that they differ significantly from their flat-space cousins -- the target space is constrained to be a Kahler manifold with an exact Kahler form, the superpotential transforms under Kahler transformations, the space of supersymmetric vacua is generically a set of isolated points even when the superpotential vanishes, and the R-symmetry is classically broken by the cosmological constant. Remarkably, the exactness of the Kahler class is also required for the sigma model to arise as a decoupling limit of N=1 supergravity, and ensures the vanishing of gravitational anomalies. As simple applications of these results, we argue that fields with AdS_4 scale masses are ubiquitous in, for example, type IIB N=1 AdS_4 vacua stabilized near large volume; we also show that the Affleck-Dine-Seiberg runaway of N_f < N_c SQCD is regulated by considering the theory in AdS_4.read more
Citations
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Rigid Supersymmetric Theories in Curved Superspace
Guido Festuccia,Nathan Seiberg +1 more
TL;DR: In this article, a uniform treatment of rigid supersymmetric field theories in a curved spacetime was presented, focusing on four-dimensional theories with four supercharges, using classical background values of the auxiliary fields in the supergravity multiplet.
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Supersymmetry on Curved Spaces and Holography
Claudius Klare,Claudius Klare,Alessandro Tomasiello,Alessandro Tomasiello,Alberto Zaffaroni,Alberto Zaffaroni +5 more
TL;DR: In this article, the authors studied superconformal and supersymmetric theories on Euclidean four-and threemanifolds with a view toward holographic applications, and they showed that supersymmetry for asymptotically locally AdS solutions implies the existence of a (charged) "conformality Killing spinor" on the boundary.
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Comments on N = (2,2) Supersymmetry on Two-Manifolds
Cyril Closset,Stefano Cremonesi +1 more
TL;DR: In this article, the authors studied curved-space rigid supersymmetric fields with a vector-like R-symmetry by coupling such theories to background supergravity and showed that for genus g > 1, the only consistent non-singular couplings are the ones dictated by the topological A-twist.
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Rigid supersymmetric theories in 4d Riemannian space
TL;DR: In this article, the conditions for supersymmetric theories in four-dimensional Riemannian spin manifolds are reformulated as a set of conditions on the torsion classes of a suitable SU(2) or trivial G-structure.
Journal ArticleDOI
Rigid Supersymmetric Theories in Curved Superspace
Guido Festuccia,Nathan Seiberg +1 more
TL;DR: In this paper, a uniform treatment of rigid supersymmetric field theories in a curved spacetime was presented, focusing on four-dimensional theories with four supercharges, where the background values of the auxiliary fields in the supergravity multiplet were used.
References
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Book
Principles of Algebraic Geometry
Phillip Griffiths,Joe Harris +1 more
TL;DR: In this paper, a comprehensive, self-contained treatment of complex manifold theory is presented, focusing on results applicable to projective varieties, and including discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex.
Journal ArticleDOI
De Sitter vacua in string theory
TL;DR: The metastable de Sitter vacua of type IIB string theory has been constructed in this article, which is a supersymmetric version of the ground state of the original ground state.
Book
Supersymmetry and Supergravity
Julius Wess,Jonathan Bagger +1 more
TL;DR: The second edition of this book appeared in 1983 and was based on a series of lectures given at Princeton in 1983 by Julius Wess as discussed by the authors, where the authors presented a general supersymmetric gauge invariant theory of chiral fields interacting with supergravity.
Book
Differential Forms in Algebraic Topology
Raoul Bott,Loring W. Tu +1 more
TL;DR: This paper presents a meta-thesis on the basis of a model derived from the model developed in [Bouchut-Boyaval, M3AS (23) 2013] that states that the mode of action of the Higgs boson is determined by the modulus of the E-modulus.
Journal ArticleDOI
Hierarchies from fluxes in string compactifications
TL;DR: In this article, the authors show that the hierarchy of scales can be fixed by a choice of Ramond-Ramond and Neveu-Schwarz fluxes in the compact manifold, and give examples involving orientifold compactifications of type IIB string theory and F-theory compactifications on Calabi-Yau fourfolds.