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Supersymmetry and Hodge theory on Sasakian and Vaisman manifolds
Sasakian manifolds are odd-dimensional counterpart to Kähler manifolds. They can be defined as contact manifolds equipped with an invariant Kähler...
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Hidden Supersymmetry as a Key to Constructing Low-Energy Superfield Effective Actions
In this review paper, we outline and exemplify the general method of constructing the superfield low-energy quantum effective action of...
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2d Sigma Models and Geometry
Supersymmetric nonlinear sigma models have target spaces that carry interesting geometry. The geometry is richer the more supersymmetries the model...
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Phase Transitions at High Supersymmetry Breaking Scale in String Theory
When supersymmetry is spontaneously broken at tree level, the spectrum of the heterotic string compactified on orbifolds of tori contains an infinite...
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A Note on Supersymmetry and Stochastic Differential Equations
We obtain a dimensional reduction result for the law of a class of stochastic differential equations using a supersymmetric representation first...
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Fock Spaces, Fermi Fields, and Applications
After introducing the symmetric Fock space structure associated with the free field, we define the fermionic field from creation and annihilation...
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Nonholomorphic Superpotentials in Heterotic Landau-Ginzburg Models
The aim of this talk is to derive two constraints imposed by supersymmetry for a class of heterotic Landau-Ginzburg models with nonholomorphic...
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Adinkras, Dessins, Origami, and Supersymmetry Spectral Triples
We investigate the spectral geometry and spectral action functionals associated to 1D Supersymmetry Algebras, using the classification of these...
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Reducing the N = 1, 10-d, \(E_8\) Gauge Theory over a Modified Flag Manifold
We present a split-like supersymmetric extension of the Standard Model which originates from a 10-d,...
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A twist on broken U(3) \(\times \) U(3) supersymmetry
What symmetry breaking would be required for gauginos from a supersymmetric theory to behave like left-handed quarks of the Standard Model? Starting...
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A new conjecture for obtaining the energy spectra of the wave equations under solvable potentials
In this paper, we proposed a new method for obtaining the energy of a particle which can be described by the wave equations under a solvable...
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Self-Avoiding Walk and Supersymmetry
Following a brief discussion of the critical behaviour of the standard self-avoiding walk, we introduce the continuous-time weakly self-avoiding walk...
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Remarks on Highly Supersymmetric Backgrounds of 11-Dimensional Supergravity
This note focuses on some properties and uses of filtered deformations in the context of D = 11 supergravity. We define the concept of abstract...
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Symmetries of Supergeometries Related to Nonholonomic Superdistributions
We extend Tanaka theory to the context of supergeometry and obtain an upper bound on the supersymmetry dimension of geometric structures related to...
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Factorial Supersymmetric Skew Schur Functions and Ninth Variation Determinantal Identities
The determinantal identities of Hamel and Goulden have recently been shown to apply to a tableau-based ninth variation of skew Schur functions. Here...
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The Supergeometric Algebra: The Square Root of the Geometric Algebra
This paper gives a pedagogical account of the Supergeometric Algebra (SGA), the square root of the Geometric Algebra (GA). The fact that a spinor can...
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Comments on the Newlander-Nirenberg Theorem
The Newlander-Nirenberg theorem says that a necessary and sufficient condition for the complex coordinates associated with a given almost complex...