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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 article, a large class R of 3-dimensional N = 2 superconformal field theories is identified, and the equivalence relation among theories in class R is a quantum-field-theoretic 2-3 move.
Abstract: We identify a large class R of three-dimensional N=2 superconformal field theories. This class includes the effective theories T_M of M5-branes wrapped on 3-manifolds M, discussed in previous work by the authors, and more generally comprises theories that admit a UV description as abelian Chern-Simons-matter theories with (possibly non-perturbative) superpotential. Mathematically, class R might be viewed as an extreme quantum generalization of the Bloch group; in particular, the equivalence relation among theories in class R is a quantum-field-theoretic "2-3 move." We proceed to study the supersymmetric index of theories in class R, uncovering its physical and mathematical properties, including relations to algebras of line operators and to 4d indices. For 3-manifold theories T_M, the index is a new topological invariant, which turns out to be equivalent to non-holomorphic SL(2,C) Chern-Simons theory on M with a previously unexplored "integration cycle."
102 citations
TL;DR: In this article, a quantum stringy test and a confirmation of a recent proposal of Strominger on the fate of the conifold singularity were presented. But they did not consider string loop corrections to the superpotential of Type II strings.
102 citations
TL;DR: In this article, it was shown that there are solitons with fractional fermion number in integrable N = 2 supersymmetric models with a nice Landau-Ginzburg description with a Chebyshev polynomial superpotential.
102 citations
TL;DR: In this paper, the Zoo of possible 4D N = 1 superconformal theories which are obtained as RG fixed points of SQCD with Nf fundamental and Na adjoint matter representations is mapped out and explored.
102 citations
TL;DR: In this article, a three generation N=1 supersymmetric SU(4)xSU(2)LxSU (2)R model supplemented by an SU(8) hidden gauge symmetry and five Abelian factors is constructed.
Abstract: In the context of the free-fermionic formulation of the heterotic superstring, we construct a three generation N=1 supersymmetric SU(4)xSU(2)LxSU(2)R model supplemented by an SU(8) hidden gauge symmetry and five Abelian factors. The symmetry breaking to the standard model is achieved using vacuum expectation values of a Higgs pair in (4bar,2R)+(4,2R) at a high scale. One linear combination of the Abelian symmetries is anomalous and is broken by vacuum expectation values of singlet fields along the flat directions of the superpotential. All consistent string vacua of the model are completely classified by solving the corresponding system of F- and D-flatness equations including non-renormalizable terms up to sixth order. The requirement of existence of electroweak massless doublets further restricts the phenomenologically viable vacua. The third generation fermions receive masses from the tree-level superpotential. Further, a complete calculation of all non-renormalizable fermion mass terms up to fifth order shows that in certain string vacua the hierarchy of the fermion families is naturally obtained in the model as the second and third generation fermions earn their mass from fourth and fifth order terms. Along certain flat directions it is shown that the ratio of the SU(4) breaking scale and the reduced Planck mass is equal to the up quark ratio m_c/m_t at the string scale. An additional prediction of the model, is the existence of a U(1) symmetry carried by the fields of the hidden sector, ensuring thus the stability of the lightest hidden state. It is proposed that the hidden states may account for the invisible matter of the universe.
102 citations