Yang-Mills theory in six-dimensional superspace

Thesis/Dissertation · Sun Jan 01 04:00:00 EST 1984

OSTI ID:5798649

Koller, J G

In this work, the author first reviews the superspace approach and its relation to conventional component methods. The difference between constrained and unconstrained formulations is explained, and the origin of the nonlinear constraints in supersymmetric gauge theories is discussed. It is then shown that these nonlinear constraint equations can be solved by transforming them into linear equations. The method is shown to work for N = 1 Yang-Mills theory in four dimensions. N = 2 Yang-Mills theory is formulated in constrained form in six-dimensional superspace, which can be dimensionally reduced to four-dimensional N = 2 extended superspace. The author constructs a superfield calculus for six-dimensional superspace, and shows that known matter multiplets can be described very simply. His method for solving constraints is then applied to the constrained N = 2 Yang-Mills theory, and he obtains an explicit solution in terms of an unconstrained superfield. The solution of the constraints can easily be expanded in powers of the unconstrained superfield, and a similar expansion of the action is also given. A background-field expansion is provided for any gauge theory in which the constraints can be solved by these methods. Some implications of this for superspace gauge theories are briefly discussed.

• Research Organization: California Inst. of Tech., Pasadena (USA)
• OSTI ID: 5798649
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
MANY-DIMENSIONAL CALCULATIONS
POWER SERIES
SERIES EXPANSION
SUPERSYMMETRY
SYMMETRY
YANG-MILLS THEORY