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14 papers · 1 filter
Gravitational Instantons from Minimal Surfaces
A. N. Aliev, M. Hortacsu, J. Kalayci +1
Physical properties of gravitational instantons which are derivable from minimal surfaces in 3-dimensional Euclidean space are examined using the Newman-Penrose formalism for Eucli…
Monopole equations on 8-manifolds with Spin(7) holonomy
A. H. Bilge, T. Dereli, S. Kocak
We construct a consistent set of monopole equations on eight-manifolds with Spin(7) holonomy. These equations are elliptic and admit non-trivial solutions including all the 4-dimen…
Strongly Asymmetric Tricriticality of Quenched Random-Field Systems
A. Kabakcioglu, A. N. Berker
In view of the recently seen dramatic effect of quenched random bonds on tricritical systems, we have conducted a renormalization-group study on the effect of quenched random field…
Nonlinear Evolution Equations Invariant Under Schroedinger Group in three-dimensional Space-time
Faruk Gungor
A classification of all possible realizations of the Galilei, Galilei-similitude and Schroedinger Lie algebras in three-dimensional space-time in terms of vector fields under the a…
Miura-Like Free Field Realization Of Fermionic Casimir WB(3) Algebras
H. T. Ozer
Starting from the well-known quantum Miura-like transformation for the non simply-laced Lie algebras B(3),we give an explicit construction of the Casimir WB(3) algebras.We reserve…
Alternative bi-Hamiltonian structures for WDVV equations of associativity
J. Kalayci, Y. Nutku
The WDVV equations of associativity in 2-d topological field theory are completely integrable third order Monge-Ampère equations which admit bi-Hamiltonian structure. The time vari…