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We prove that the essential dimension of the spinor group
Spinn grows exponentially with n and use this result to show that quadratic forms with trivial discriminant and Hasse-Witt invariant are more...
Decomposition of spinor groups by the involution σ' in exceptional Lie groups
Decomposition of spinor groups involution σ' in exceptional Lie groups
2011/2/22
The compact exceptional Lie groups F4,E6,E7 and E8 have spinor groups as a subgroup as follows.
Linear space of spinor monomials and realization of the Nambu-Goldstone fermion in the Volkov-Akulov and Komargodski-Seiberg Lagrangians
Linear space of spinor monomials realization Nambu-Goldstone fermion Volkov-Akulov Komargodski-Seiberg Lagrangians
2011/3/2
The analytical algorithm previously proposed by the author for matching the Volkov-Akulov (VA) and Komargodski-Seiberg (KS) actions describing the Nambu-Goldstone (NG) fermion, is discussed.
One-loop stress tensors for scalar and spinor fields on the homogeneous spaces with G-invariant metrics
One-loop stress tensors for scalar spinor fields homogeneous spaces G-invariant metrics
2011/2/28
Vacuum expectation value of the stress-energy-momentum tensor for scalar and spinor fields is obtainted on the homogeneous space with G-invariant metrics using the orbits of coadjoint representation o...
Let $S_h$ be the even pure spinors variety of a complex vector space $V$ of even dimension $2h$ endowed with a non degenerate quadratic form $Q$ and let $\sigma_k(S_h) $ be the $k$-secant variety of ...
Approximate KMS states for scalar and spinor fields in Friedmann-Robertson-Walker spacetimes
Approximate KMS scala spinor fields Friedmann-Robertson-Walker spacetimes
2010/12/16
We construct and discuss Hadamard states for both scalar and Dirac spinor fields in a large
class of spatially flat Friedmann-Robertson-Walker spacetimes characterised by an initial phase either of e...
We extend the theory of spinor class field and representation fields previously defined for lattices over the ring of integers of a number field to both, lattices over the coordinate ring of a smooth ...
Expansion and one-range addition theorems for complete orthonormal sets of spinor wave functions and Slater spinor orbitals of arbitrary half-integral spin in position, momentum and four-dimensional spaces
Exponential type spinor orbitals Slater type spinor orbitals Addition theorems
2010/12/9
The analytical relations in position, momentum and four-dimensional spaces are established
for the expansion and one-range addition theorems of relativistic complete orthonormal sets
of exponential ...
On reductions of soliton solutions of multi-component NLS models and spinor Bose-Einstein condensates
multicomponent nonlinear Schrodinger equations symmetric BD.I-type symmetric spaces
2010/4/1
We consider a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces. As important particular case of these MNLS we obtain the Kulish-Sklyan...