Conformal symmetry in two-dimensional space: recursion representation of conformal block

Journal Article · Fri Apr 01 04:00:00 EST 1988 · Theor. Math. Phys.; (United States)

OSTI ID:6447081

Zamolodchikov, A B

The four-point conformal block plays an important part in the analysis of the conformally invariant operator algebra in two-dimensional space. The behavior of the conformal block is calculated in the present paper in the limit in which the dimension ..delta.. of the intermediate operator tends to infinity. This makes it possible to construct a recursion relation for this function that connects the conformal block at arbitrary ..delta.. to the blocks corresponding to the dimensions of the zero vectors in the degenerate representations of the Virasoro algebra. The relation is convenient for calculating the expansion of the conformal block in powers of the uniformizing parameters q = i ..pi.. tau.

• OSTI ID: 6447081
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 73:1; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL GROUPS
CONFORMAL INVARIANCE
DIFFERENTIAL EQUATIONS
ENERGY SPECTRA
EQUATIONS
EXPECTATION VALUE
FIELD THEORIES
INVARIANCE PRINCIPLES
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PROJECTION OPERATORS
QUANTUM FIELD THEORY
RECURSION RELATIONS
SCHROEDINGER EQUATION
SEMICLASSICAL APPROXIMATION
SPACE
SPECTRA
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS
WAVE EQUATIONS