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Superpotential
About: Superpotential is a research topic. Over the lifetime, 3836 publications have been published within this topic receiving 137867 citations.
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TL;DR: In this paper, the authors give a general construction for supersymmetric Hamiltonians in quantum mechanics and show that N-extended supersymmetry imposes very strong constraints, and for N > 4 the Hamiltonian is integrable.
316 citations
TL;DR: A model for cosmological inflation based on a no-scale supergravity sector with an SU(2,1)/SU(2)×U(1) Kähler potential, a single modulus T, and an inflaton superfield Φ described by a Wess-Zumino model with superpotential parameters (μ, λ).
Abstract: We present a model for cosmological inflation based on a no-scale supergravity sector with an SUð2; 1Þ=SUð2 Þ� Uð1Þ Kahler potential, a single modulus T, and an inflaton superfielddescribed by a Wess-Zumino model with superpotential parameters (� , � ). When T is fixed, this model yields a scalar spectral index ns and a tensor-to-scalar ratio r that are compatible with the Planck measurements for values of � ' �= 3MP. For the specific choice � ¼ �= 3MP, the model is a no-scale supergravity realization of the R þ R 2 Starobinsky model.
316 citations
TL;DR: In this paper, the authors identify a class of supergravity models describing superconformal coupling of matter to supergravity, which they call the canonical supercon-formal supergravity model, where the kinetic terms in the Jordan frame are canonical.
Abstract: We identify a particularly simple class of supergravity models describing superconformal coupling of matter to supergravity. In these models, which we call the canonical superconformal supergravity models, the kinetic terms in the Jordan frame are canonical, and the scalar potential is the same as in the global theory. The pure supergravity part of the total action has a local Poincar\'e supersymmetry, whereas the chiral and vector multiplets coupled to supergravity have a larger local superconformal symmetry. The scale-free globally supersymmetric theories, such as the NMSSM with a scale-invariant superpotential, can be naturally embedded into this class of theories. After the supergravity embedding, the Jordan frame scalar potential of such theories remains scale free; it is quartic, it contains no mass terms, no nonrenormalizable terms, no cosmological constant. The local superconformal symmetry can be broken by additional terms, which, in the small field limit, are suppressed by the gravitational coupling. This can be achieved by introducing the nonminimal scalar-curvature coupling, and by taking into account interactions with a hidden sector. In this approach, the smallness of the mass parameters in the NMSSM may be traced back to the original superconformal invariance. This allows one to address the $\ensuremath{\mu}$ problem and the cosmological domain wall problem in this model, and to implement chaotic inflation in the NMSSM. We discuss the gravitino problem in the NMSSM inflation, as well as the possibility to obtain a broad class of new versions of chaotic inflation in supergravity.
316 citations
TL;DR: The construction of explicit supersymmetric ground states is considered in a variety of quantum mechanical systems as discussed by the authors, and it is not difficult to find closed-form zero-energy ground-state wave functions.
315 citations
TL;DR: In this article, the authors discuss non-abelian SU(Nc) gauge theory coupled to an adjoint chiral superfield X and a number of fundamental superfields Q, and show that turning on a superpotential W(X) = TrΣl=1k glXl+1 leads to non-trivial long distance dynamics, a large number of multicritical IR fixed points and vacua connected to each other by varying the coefficients gl.
311 citations