Covariant Mickelsson-Faddeev extensions of gauge and diffeomorphism algebras
TA Larsson - arXiv preprint arXiv:1205.2353, 2012 - arxiv.org
We construct new extensions of current and diffeomorphism algebras in N> 3 dimensions,
which are related to the Mickelsson-Faddeev algebra. The result is compatible with …
which are related to the Mickelsson-Faddeev algebra. The result is compatible with …
Extensions of diffeomorphism and current algebras
TA Larsson - arXiv preprint math-ph/0002016, 2000 - arxiv.org
Dzhumadil'daev has classified all tensor module extensions of $ diff (N) $, the
diffeomorphism algebra in $ N $ dimensions, and its subalgebras of divergence free …
diffeomorphism algebra in $ N $ dimensions, and its subalgebras of divergence free …
[PDF][PDF] Multi-dimensional diffeomorphism and current algebras from Virasoro and Kac-Moody Currents
TA Larsson - arXiv preprint math-ph/0101007, 2001 - arxiv.org
arXiv:math-ph/0101007v2 26 Feb 2001 Page 1 arXiv:math-ph/0101007v2 26 Feb 2001 Multi-dimensional
Diffeomorphism and Current Algebras from Virasoro and Kac-Moody Currents TA Larsson …
Diffeomorphism and Current Algebras from Virasoro and Kac-Moody Currents TA Larsson …
On deformed double current algebras for simple Lie algebras
N Guay, Y Yang - arXiv preprint arXiv:1608.02900, 2016 - arxiv.org
We prove the equivalence of two presentations of deformed double current algebras
associated to a complex simple Lie algebra, the first one obtained via a degeneration of …
associated to a complex simple Lie algebra, the first one obtained via a degeneration of …
Extended Diffeomorphism Algebras¶ and Trajectories in Jet Space
TA Larsson - Communications in Mathematical Physics, 2000 - Springer
Let the DRO (Diffeomorphism, Reparametrization, Observer) algebra¶ DRO (N) be the
extension of diff (N)⊕ diff (1) by its four inequivalent Virasoro-like cocycles. Here diff (N) is …
extension of diff (N)⊕ diff (1) by its four inequivalent Virasoro-like cocycles. Here diff (N) is …
[PDF][PDF] Why the Mickelsson-Faddeev algebra lacks unitary representations
TA Larsson - arXiv preprint math-ph/0501023, 2005 - arxiv.org
Let g be a finite-dimensional Lie algebra with generators Ja and structure constants fab c.
The brackets are given by [Ja, Jb]= fab cJc. Denote the symmetric Killing metric (proportional …
The brackets are given by [Ja, Jb]= fab cJc. Denote the symmetric Killing metric (proportional …
Lowest-energy representations of non-centrally extended diffeomorphism algebras
TA Larsson - Communications in mathematical physics, 1999 - Springer
We describe a class of non-central extensions of the diffeomorphism algebra in N-
dimensional spacetime, and construct lowest-energy modules thereof, thus generalizing …
dimensional spacetime, and construct lowest-energy modules thereof, thus generalizing …
Koszul-Tate Cohomology as Lowest-Energy Modules of Non-Centrally Extended Diffeomorphism Algebras
TA Larsson - arXiv preprint math-ph/0210023, 2002 - arxiv.org
Fock modules for multi-dimensional Virasoro algebras (non-central extensions of the
diffeomorphism algebra vect (N)) have recently been reported. Using ideas from the antifield …
diffeomorphism algebra vect (N)) have recently been reported. Using ideas from the antifield …
New phases of D greater than or equal to 2 current and diffeomorphism algebras in particle physics
CH Tze - Presented at the 5th Symmetries in Science …, 1990 - ui.adsabs.harvard.edu
We survey some global results and open issues of current algebras and their canonical field
theoretical realization in D greater than or equal to 2 dimensional spacetime. We assess the …
theoretical realization in D greater than or equal to 2 dimensional spacetime. We assess the …
New realizations of deformed double current algebras and Deligne categories
In this paper, we propose an alternative construction of a certain class of Deformed Double
Current Algebras. We construct them as spherical subalgebras of symplectic reection …
Current Algebras. We construct them as spherical subalgebras of symplectic reection …