Comments on summing over bordisms in TQFT

Abstract

Abstract Recent works in quantum gravity, motivated by the “factorization problem” and “baby universes,” have considered sums over bordisms with fixed boundaries in topological quantum field theory (TQFT). We discuss this construction and observe a curious splitting formula for the total amplitude.

Keywords

• Matrix Models
• Topological Field Theories
• 2D Gravity
• Field Theories in Lower Dimensions