A different kind of four dimensional brane for string theory

Abstract

We present a generalization of the string's Polyakov action that describes a conformally invariant four dimensional brane. The new extended object is very different from the traditional D-branes of string theory, but, nevertheless, shares some structural similarities with the string, especially when it comes to the low-energy limit of small tension. We introduce a rather rich structure of tensors that can play a role at low energies. In analogy with the bosonic string, we initiate the quantization of the new brane discussing the extent in which it produces a critical dimension of spacetime and Einstein's equations coupled to a scalar dilaton under some approximations.

13 pages, v2: several improvements including a new section, to appear in PRD

References in corpus (7)

• A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
• A different kind of string
• Gravity in $d=2+\epsilon$ dimensions and realizations of the diffeomorphisms group
• Quantum Corrections to Generic Branes: DBI, NLSM, and More
• A perturbative expansion scheme for supermembrane and matrix theory
• Beta functions for the duality-invariant sigma model
• The discrete spectrum of the D=11 bosonic M5-brane

Cited by in corpus (2)

• Scale and Conformal Invariance in Higher Derivative Shift Symmetric Theories
• Duality, generalized global symmetries and jet space isometries