Quaternions and M(atrix) theory in spaces with boundaries
Lubos Motl
Abstract
A proposal for the matrix model formulation of the M-theory on a space with a boundary is given. A general machinery for modding out a symmetry in M(atrix) theory is used for a Z2 symmetry changing the sign of the X1 coordinate. The construction causes the elements of matrices to be equivalent to real numbers or quaternions and the symmetry U(2N) of the original model is reduced to O(2N) or USp(2N)=U(N,H). We also show that membranes end on the boundary of the spacetime correctly in this construction.
Create a lesson
Related papers
On the universality of entanglement entropy in quantum field theory
Orr Sela
Negative Junction Logarithms in Scalar Multipartite Entanglement
Chen-Te Ma
A Ghost-Free dS/AdS Correspondence in N=1 Supergravity
Omer Guleryuz
Hermitian matrix-valued nonlocal deformation of the SU(N) Thirring model at large N
J. R. Nascimento, P. J. Porf\'ırio, C. Furtado
Obstruction to local entropy laws on arbitrary black-hole cuts in five-dimensional Einstein--Gauss--Bonnet gravity
Cendikiawan Suryaatmadja, Robert B. Mann
Hamiltonian of open string field theory for time-dependent solutions
Vinícius Bernardes, Riccardo Poletti