The two-dimensional minkowski space fermion determinant by example

1988 ◽  
Vol 211 (1-2) ◽  
pp. 107-110 ◽  
Author(s):  
D. Cangemi ◽  
M. Makowka ◽  
G. Wanders
Keyword(s):  
Minkowski Space ◽  
Two Dimensional ◽  
Dimensional Minkowski Space

SUPERGRAVITY AND SUPERSTRINGS IN (2+1) DIMENSIONS

1991 ◽  
Vol 06 (29) ◽  
pp. 5215-5229 ◽  
Author(s):  
A. STERN
Keyword(s):  
Minkowski Space ◽  
Current Algebra ◽  
Central Extension ◽  
Loop Group ◽  
Unitary Representations ◽  
Two Dimensional ◽  
Induced Representations ◽  
Highest Weight ◽  
Dimensional Minkowski Space ◽  
State Construction

We study n=1 supergravity written on a two-dimensional disc (× time) in the absence of any sources. The dynamics of the boundary of the disc is equivalent to that of a superstring in (2+1)-dimensional Minkowski space. The relevant current algebra for the theory corresponds to the central extension of the super-Poincaré loop group. We find unitary representations of the current algebra by applying both a highest weight state construction and the method of induced representations.

scholarly journals On the Causal and Topological Structure of the 2-Dimensional Minkowski Space

Universe ◽  
2019 ◽  
Vol 5 (3) ◽  
pp. 70
Author(s):  
Kyriakos Papadopoulos ◽  
Nazli Kurt ◽  
Basil Papadopoulos
Keyword(s):  
Minkowski Space ◽  
Spacetime Singularities ◽  
Topological Structure ◽  
Causal Structure ◽  
Two Dimensional ◽  
Causal Relations ◽  
Dimensional Minkowski Space

A list of all possible causal relations in the two-dimensional Minkowski space M is exhausted, based on the duality between timelike and spacelike in this particular case, and thirty topologies are introduced, all of them encapsulating the causal structure of M. Generalisations of these results are discussed, as well as their significance in a discussion on spacetime singularities.

scholarly journals THE SOLUTIONS OF AFFINE AND CONFORMAL AFFINE TODA FIELD THEORIES

1994 ◽  
Vol 09 (17) ◽  
pp. 1579-1587 ◽  
Author(s):  
G. PAPADOPOULOS ◽  
B. SPENCE
Keyword(s):  
Initial Data ◽  
Minkowski Space ◽  
Space Time ◽  
Field Theories ◽  
Poisson Brackets ◽  
Two Dimensional ◽  
Field Equations ◽  
Minkowski Space Time ◽  
Dimensional Minkowski Space ◽  
Static Solutions

We give new formulations of the solutions of the field equations of the affine Toda and conformal affine Toda theories on a cylinder and two-dimensional Minkowski space-time. These solutions are parametrized in terms of initial data and the resulting covariant phase spaces are diffeomorphic to the Hamiltonian ones. We derive the fundamental Poisson brackets to the parameters of the solutions and give the general static solutions for the affine theory.

The Space Groups of Two Dimensional Minkowski Space

1978 ◽  
Vol 30 (5) ◽  
pp. 1103-1120
Author(s):  
George Maxwell
Keyword(s):  
Vector Space ◽  
Minkowski Space ◽  
Bilinear Form ◽  
Orthogonal Group ◽  
Affine Space ◽  
Symmetric Bilinear Form ◽  
Two Dimensional ◽  
Space Groups ◽  
Dimensional Minkowski Space ◽  
Real Affine

LetEbe an n-dimensional real affine space,Vits vector space of translations andA(E)the affine group ofE.Suppose that (. , .) is a nondegenerate symmetric bilinear form on F of signature(n —1, 1), O(V) its orthogonal group andS(V)its group of similarities.

Sign in / Sign up

Export Citation Format

Share Document