Building Blocks of Physical States in a Non-Critical 3-Brane on R*S^3

Abstract

The physical states in a world-volume model of a non-critical 3-brane are systematically constructed using techniques of four-dimensional conformal field theories on R*S^3 developed recently. Invariant combinations of creation modes under a special conformal transformation provide building blocks of physical states. Any state can be created by acting with such building blocks on a conformally invariant vacuum in an invariant way under the other conformal charges: the Hamiltonian and rotation generators on S^3. We explicitly construct building blocks for scalar, vector and gravitational fields, and classify them as finite types.

arXiv comment56 pages

References in corpus (2)

• Resummation and Higher Order Renormalization in 4D Quantum Gravity
• Conformal Algebra and Physical States in Non-critical 3-brane on R*S^3

Cited by in corpus (9)

• Space-time Evolution and CMB Anisotropies from Quantum Gravity
• Background Free Quantum Gravity based on Conformal Gravity and Conformal Field Theory on M^4
• Baryogenesis by Quantum Gravity
• Renormalizable 4D Quantum Gravity as A Perturbed Theory from CFT
• BRST Analysis of Physical Fields and States for 4D Quantum Gravity on R x S^3
• Two-Loop Quantum Gravity Corrections to Cosmological Constant in Landau Gauge
• Physical Cosmological Constant in Asymptotically Background Free Quantum Gravity
• Conformal Field Theory on R x S^3 from Quantized Gravity
• Vertex Operators in 4D Quantum Gravity Formulated as CFT