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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: The N = 1 effective action for generic type IIA Calabi-Yau orientifolds in the presence of background fluxes is computed from a Kaluza-Klein reduction as discussed by the authors.
391 citations
TL;DR: In this article, it was shown that every one-dimensional quantum mechanical Hamiltonian H1 can have a partner H2 such that H1 and H2 taken together may be viewed as the components of a supersymmetric Hamiltonian.
Abstract: It is shown that every one-dimensional quantum mechanical Hamiltonian H1 can have a partner H2 such that H1 and H2 taken together may be viewed as the components of a supersymmetric Hamiltonian. The term 'supersymmetric Hamiltonian' is taken to mean a Hamiltonian defined in terms of charges that obey the same algebra as that of the generators of supersymmetry in field theory. The consequences of this symmetry for the spectra of H1 and H2 are explored. It is shown how the supersymmetric pairing may be utilised to eliminate the ground state of H1, or add a state below the ground state of H1 or maintain the spectrum of H1. It is also explicitly demonstrated that the supersymmetric pairing may be used to generate a class of anharmonic potentials with exactly specified spectra. The complete spectrum of an anharmonic potential so generated consists of all the eigenstates of the simple harmonic oscillator and, in addition, a ground state at a specified energy E which lies arbitrarily below the E=1/2 ground state of the harmonic oscillator.
388 citations
TL;DR: In this paper, the authors identify a large class R of three-dimensional N = 2 superconformal field theories, which includes the effective theories T_M of M5-branes wrapped on 3-manifolds.
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 to 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.”
386 citations
TL;DR: In this article, the authors present an algorithm for extracting a consistent set of gauge theory data for an arbitrary toric variety whose singularity a D-brane probes, called Toric Duality.
385 citations
TL;DR: In this article, a large N dual of 4d, N=1 supersymmetric, SU(N) Yang-Mills with adjoint field and arbitrary superpotential W(\Phi) was proposed.
Abstract: We propose a large N dual of 4d, N=1 supersymmetric, SU(N) Yang-Mills with adjoint field \Phi and arbitrary superpotential W(\Phi). The field theory is geometrically engineered via D-branes partially wrapped over certain cycles of a non-trivial Calabi-Yau geometry. The large N, or low-energy, dual arises from a geometric transition of the Calabi-Yau, where the branes have disappeared and have been replaced by suitable fluxes. This duality yields highly non-trivial exact results for the gauge theory. The predictions indeed agree with expected results in cases where it is possible to use standard techniques for analyzing the strongly coupled, supersymmetric gauge theories. Moreover, the proposed large N dual provides a simpler and more unified approach for obtaining exact results for this class of supersymmetric gauge theories.
375 citations