Superconformal invariances in two dimensions: Representation theory and applications to strings and critical phenomena

Thesis/Dissertation · Thu Jan 01 04:00:00 EST 1987

OSTI ID:5595674

Nam, S

The Kac formula is the formula for the zeros of the determinant of the matrices comprising the inner products of the Fock states spanned by the L{sup {minus}n}'s, (n > 0), which are the elements of conformal algebra. It is one of the key results in the representation theory of the algebra, and can be derived using some of the techniques of the string theory. In this report, this derivation will be generalized for the N = 2 superconformal algebra. Some of the consequences of the representation theory of the N = 2 superconformal algebra have applications in the Gaussian model and also in the compactification schemes of the heterotic strings and superstrings. Another type of symmetry that can be added to the conformal symmetry is the Kac-Moody symmetry. This will be the symmetry of strings propagating in a group space. The superconformal and super Kac-Moody invariant quantum field theories in two dimensions (on a Riemann sphere) will be considered in a superfield formalism and four point functions will be explicitly calculated as solutions to a differential equation. It is relevant to tree level scattering amplitude of closed spinning strings on a group space.

• Research Organization: Yale Univ., New Haven, CT (USA)
• OSTI ID: 5595674
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
AMPLITUDES
COMPACTIFICATION
COMPOSITE MODELS
CONFORMAL GROUPS
CONFORMAL INVARIANCE
EXTENDED PARTICLE MODEL
FIELD THEORIES
FOCK REPRESENTATION
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
MATRICES
PARTICLE MODELS
QUANTUM FIELD THEORY
QUARK MODEL
SCATTERING AMPLITUDES
STRING MODELS
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS