$$\mathcal {N}=2$$ Supersymmetric Theory with Lifshitz Scaling

By considering the 12-dimensional superalgebra, inferences are drawn about the finiteness of the 12-dimensional theory unifying the superstring models. The dimensional reduction of the nonsupersymmetric theory in four dimensions to a supersymmetric action in three dimensions is established for the bosonic sector. It is found to be the quotient by [Formula: see text] of the integration over the fiber coordinate of a theory with [Formula: see text] supersymmetry. Consequently, a flow on the moduli space of Spin(7) manifolds from a [Formula: see text] structure with [Formula: see text] supersymmetry yielding a phenomelogically realistic particle spectrum to a [Formula: see text] holonomy manifold compatible with supersymmetry in three dimensions and a nonsupersymmetric action in four dimensions, solving the quantum cosmological constant problem, is proven to exist. The projection of the representations of the [Formula: see text] superalgebra of the 12-dimensional theory to four dimensions include nonperturbative string solitons that are more stable because the dynamics is described by supersymmetric theory with a higher degree of finiteness.

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Effective supersymmetric theory and muon anomalous magnetic moment with R parity violation

Physics Letters B ◽

10.1016/s0370-2693(01)01134-0 ◽

2001 ◽

Vol 520 (3-4) ◽

pp. 298-306 ◽

Cited By ~ 23

Author(s):

Jihn E Kim ◽

Bumseok Kyae ◽

Hyun Min Lee

Keyword(s):

Magnetic Moment ◽

Parity Violation ◽

Anomalous Magnetic Moment ◽

Supersymmetric Theory ◽

Muon Anomalous Magnetic Moment

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SUPERSYMMETRY, HOMOLOGY WITH TWISTED COEFFICIENTS AND n-DIMENSIONAL KNOTS

International Journal of Modern Physics A ◽

10.1142/s0217751x06030941 ◽

2006 ◽

Vol 21 (19n20) ◽

pp. 4185-4196 ◽

Cited By ~ 1

Author(s):

EIJI OGASA

Keyword(s):

Integral Representation ◽

Natural Number ◽

Quantum System ◽

Path Integral ◽

Topological Invariant ◽

Supersymmetric Theory ◽

Path Integral Representation ◽

Alexander Polynomials ◽

Usual Manner ◽

Infinitesimal Transformations

In this paper, we study and construct a set of Witten indexes for K, where K is any n-dimensional knot in Sn+2 and n is any natural number. We form a supersymmetric quantum system for K by, first, constructing a set of functional spaces (spaces of fermionic (resp. bosonic) states) and a set of operators (supersymmetric infinitesimal transformations) in an explicit way. Our Witten indexes are topological invariant and they are nonzero in general. These indexes are zero if K is equivalent to a trivial knot. Besides, our Witten indexes restrict to the Alexander polynomials of n-knots, and one of the Alexander polynomials of K is nontrivial if any of the Witten indexes is nonzero. Our indexes are related to homology with twisted coefficients. Roughly speaking, these indexes posseses path-integral representation in the usual manner of supersymmetric theory.

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TWO-LOOP GELL-MANN–LOW FUNCTION FOR GENERAL RENORMALIZABLE N = 1 SUPERSYMMETRIC THEORY, REGULARIZED BY HIGHER DERIVATIVES

Particle Physics at the Year of Astronomy ◽

10.1142/9789814329682_0089 ◽

2010 ◽

Author(s):

Ekaterina Shevtsova

Keyword(s):

Supersymmetric Theory ◽

Higher Derivatives

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S-duality and supersymmetry on curved manifolds

Journal of High Energy Physics ◽

10.1007/jhep09(2020)128 ◽

2020 ◽

Vol 2020 (9) ◽

Author(s):

Guido Festuccia ◽

Maxim Zabzine

Keyword(s):

Fourier Transform ◽

Partition Function ◽

Systematic Study ◽

Supersymmetric Theory ◽

Legendre Transform ◽

Curved Manifolds ◽

Abelian Theory ◽

Non Linear

Abstract We perform a systematic study of S-duality for $$ \mathcal{N} $$ N = 2 supersymmetric non-linear abelian theories on a curved manifold. Localization can be used to compute certain supersymmetric observables in these theories. We point out that localization and S-duality acting as a Legendre transform are not compatible. For these theories S-duality should be interpreted as Fourier transform and we provide some evidence for this. We also suggest the notion of a coholomological prepotential for an abelian theory that gives the same partition function as a given non-abelian supersymmetric theory.

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