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11 papers · 2 filters
Weil Algebras and Supersymmetry
Mauri Miettinen
We give a new interpretation for the super loop space that has been used to formulate supersymmetry. The fermionic coordinates in the super loop space are identified as the odd gen…
Dimensionally Reduced Yang-Mills Theories in Noncommutative Geometry
Jussi Kalkkinen
We study a class of noncommutative geometries that give rise to dimensionally reduced Yang-Mills theories. The emerging geometries describe sets of copies of an even dimensional ma…
Knots and Particles
L. Faddeev, Antti J. Niemi
Using methods of high performance computing, we have found indications that knotlike structures appear as stable finite energy solitons in a realistic 3+1 dimensional model. We hav…
BRST Formulation of Partition Function Constraints
J. Alfaro, K. Bering, P. H. Damgaard
We show that constraints on the generating functional have direct BRST-extensions in terms of nilpotent operators that annihilate this generating functional, and which may be o…
The Heterotic Life of the D-particle
Ulf H. Danielsson, Gabriele Ferretti
We study the dynamics of D-particles (D0-branes) in type I' string theory and of the corresponding states in the dual heterotic description. We account for the presence of the two…
The Critical Exponents Of The Matrix Valued Gross-Neveu Model
Gabriele Ferretti
We study the large N limit of the MATRIX valued Gross-Neveu model in 2<d<4 dimensions. The method employed is a combination of the approximate recursion formula of Polyakov and Wil…
Antibrackets, Supersymmetric -Model and Localization
Mauri Miettinen
We consider supersymmetrization of Hamiltonian dynamics via antibrackets for systems whose Hamiltonian generates an isometry of the phase space. We find that the models are closely…
D-particle Dynamics and Bound States
Ulf H. Danielsson, Gabriele Ferretti, Bo Sundborg
We study the low energy effective theory describing the dynamics of D-particles. This corresponds to the quantum mechanical system obtained by dimensional reduction of dimens…
Algebra of Higher Antibrackets
K. Bering, P. H. Damgaard, J. Alfaro
We present a simplified description of higher antibrackets, generalizations of the conventional antibracket of the Batalin-Vilkovisky formalism. We show that these higher antibrack…
Aspects of mass gap, confinement and N=2 structure in 4-D Yang-Mills theory
Jussi Kalkkinen, Antti J. Niemi
We introduce new variables in four dimensional SU(N) Yang-Mills theory. These variables emerge when we sum the path integral over classical solutions and represent the summation as…
Notes on Equivalences and Higgs Branches in N=2 Supersymmetric Yang-Mills Theory
Ulf H. Danielsson, Pär Stjernberg
In this paper we investigate how various equivalences between effective field theories of SUSY Yang-Mills theory with matter can be understood through Higgs breaking, i.e. by…