5 papers
Optimized Fock space in the large N limit of quartic interactions in Matrix Models
Mariusz Hynek
We consider the problem of quantization of the bosonic membrane via the large limit of its matrix regularizations in Fock space. We prove that there exists a choice of th…
The Lorentz Anomaly via Operator Product Expansion
Stefan Fredenhagen, Jens Hoppe, Mariusz Hynek
The emergence of a critical dimension is one of the most striking features of string theory. One way to obtain it is by demanding closure of the Lorentz algebra in the light-cone g…
Variational orthogonalization
Farrokh Atai, Jens Hoppe, Mariusz Hynek +1
We introduce variational methods for finding approximate eigenfunctions and eigenvalues of quantum Hamiltonians by constructing a set of orthogonal wave functions which approximate…
Diffeomorphism Algebra Structure and Membrane Theory
Jens Hoppe, Mariusz Hynek
Explicit structure constants are calculated for certain Lie algebras of vectorfields on 2-dimensional compact manifolds.
Uniqueness of the coordinate independent Spin(9)xSU(2) state of Matrix Theory
Mariusz Hynek, Maciej Trzetrzelewski
We explicitly prove, using some nontrivial identities involving gamma matrices, that there can be only one Spin(9)xSU(2) invariant state which depends only on fermionic variables.