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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, a relation between the 4-point classical block and the twisted superpotential is found and further used to re-derive the instanton sector of the Seiberg-Witten prepotential.
Abstract: The so-called Poghossian identities connecting the toric and spherical blocks, the AGT relation on the torus and the Nekrasov-Shatashvili formula for the elliptic Calogero-Moser Yang’s (eCMY) functional are used to derive certain expressions for the classical 4-point block on the sphere. The main motivation for this line of research is the longstanding open problem of uniformization of the 4-punctured Riemann sphere, where the 4-point classical block plays a crucial role. It is found that the obtained representation for certain 4-point classical blocks implies the relation between the accessory parameter of the Fuchsian uniformization of the 4-punctured sphere and the eCMY functional. Additionally, a relation between the 4-point classical block and the N
f
= 4, SU(2) twisted superpotential is found and further used to re-derive the instanton sector of the Seiberg-Witten prepotential of the N
f
= 4, SU(2) supersymmetric gauge theory from the classical block.
42 citations
TL;DR: In this article, a mini-superspace model for quantum cosmology which possesses local supersymmetry is found by reducing N = 1 supergravity in a k = + 1 Friedmann model, and its classical and quantum solutions are discussed.
42 citations
TL;DR: While LHC8 Higgs mass and sparticle search constraints favor a multi-TeV value of gravitino mass m = 3/2, electroweak naturalness favors a superpotential higgsino mass \mu 2m(m 2m) (m = 100-200 GeV) as discussed by the authors.
Abstract: While LHC8 Higgs mass and sparticle search constraints favor a multi-TeV value of gravitino mass m_{3/2}, electroweak naturalness favors a superpotential higgsino mass \mu ~100-200 GeV: the mis-match results in an apparent Little Hierarchy characterized by \mu 2m({\rm higgsino}).
41 citations
TL;DR: In this article, the top quark mass was analyzed from the viewpoint of local SU(5) F-theory models, by explicitly computing the 10 x 10 x 5 Yukawa couplings that are developed in the vicinity of an E6 singularity.
Abstract: F-theory SU(5) unification has been proposed as a scenario where the mass of the top quark is naturally large, as opposed to type II SU(5) models. We analyze this claim from the viewpoint of local SU(5) F-theory models, by explicitly computing the 10 x 10 x 5 Yukawa couplings that are developed in the vicinity of an E6 singularity. Realizing this singularity via T-branes allows for a non-trivial mass for the top quark, while lighter generations of up-type quarks still have vanishing Yukawa couplings. Nevertheless, we show that by taking instanton effects into account non-vanishing Yukawas are induced for all U-quark families, together with a hierarchical structure at the level of the superpotential. Finally, by solving for internal wavefunction profiles we compute physical U-quark Yukawa couplings and show that this F-theory scenario allows to describe the measured top quark mass, as well as the observed quotients of U-quark masses.
41 citations
TL;DR: In this article, the phases and fixed-point structure of two-dimensional supersymmetric Wess-Zumino models with one supercharge were studied, and the functional renormalization group (RG) was formulated in terms of a manifestly off-shell superymmetric flow equation for the effective action.
Abstract: We study the phases and fixed-point structure of two-dimensional supersymmetric Wess-Zumino models with one supercharge. Our work is based on the functional renormalization group (RG) formulated in terms of a manifestly off-shell supersymmetric flow equation for the effective action. Within the derivative expansion, we solve the flow of the superpotential also including the anomalous dimension of the superfield. The models exhibit a surprisingly rich fixed-point structure with a discrete number of fixed-point superpotentials. Each fixed-point superpotential is characterized by its number of nodes and by the number of RG-relevant directions. In limiting cases, we find periodic superpotentials and potentials which confine the fields to a compact target space. The maximally IR-attractive fixed point has one relevant direction, the tuning of which distinguishes between supersymmetric and broken phases. For the Wess-Zumino model defined near the Gaussian fixed point, we determine the phase diagram and compute the corresponding ground-state masses.
41 citations