A Unique Theory of Gravity and Matter

Abstract

The author has previously suggested that the ground state for 4-dimensional quantum gravity can be represented as a condensation of nonlinear gravitons connected by Dirac strings. In this note we suggest that the low-lying excitations of this state can be described by a quasitopological action of the form d z 13 ∫ F 4 ∧ F 5 ∧ F 4 , corresponding to a trilinear coupling of solotonic 8-branes and 7-branes. It is shown that when the excitations associated with F 5 are neglected, the effective action can be interpreted as a theory of conformal gravity in four dimensions. This in turn suggests that ordinary gravity as well supersymmetric matter and phenomenological gauge symmetries arise from the spontaneous breaking of topological invariance. The possibly deep mathematical significance of this theory is also noted.

On the Occurrence of a Positive Vacuum Energy in a Quantum Model for Space–time

“…It is worth noting that this expression can be interpreted as the partition function for a two-dimensional gas of charged particles interacting via a Coulomb potential. In a similar way, substituting the chiron phase (5) into the Polyakov string action yields an expression with exactly the same form as (6) except that ln[1/|z r − z s |] is replaced by ln[R rs /|z r − z s |] and T L 2 /4π = π. The KT transition occurs for T L 2 /4π = 2.…”

“…Indeed in the limit where self-dual and anti-selfdual chirons are paired so that their positions nearly coincide, this model apprently provides a quantum description of classical flat space-time, while low lying excitations of the ground state include both familiar supergravity fields as well as possibly phenomenological matter and gauge fields. 6 In this letter we would like to point out that the emergence of gravity-like classical fields in our quantum gravity model is actually closely related to the way that two-dimensional conformal field theory emerges from a pairing of worldsheet vortices and anti-vortices in a discrete version of Polyakov's string theory. 7 Furthermore, just as the pairing of worldsheet vortices and anti-vortices leads to a positive string tension, it is to be expected that the model of Ref.…”

Hints of a new relativity principle from p-brane quantum mechanics

“…Automorphisms Groups of Noncommutative Vertex Operator algebras in connection to strings compactifications in T d , the Monster group , Bocherds ( Generalized Kac Moody ) algebras and the generation of spacetime gauge symmetries of string theory ( dualites,...) were studied by [31]. The uniqueness of the Monster has led [32] to propose that a unique theorie of gravity and matter should be based on the Monster Moonshine Module constructions. For a detailed introduction to the Monster and the classification of CFT theories we refer to [33].…”

A new realization of holography

“…For relevant work on self-dual gravity of the cotangent bundle of a two-dim surface and w ∞ algebras see [10][11][12][13][14]. Other important work on W algebras can be found in [13,[15][16][17][18][19]. To see the role that the large-N limit and the Moyal deformation quantization have in the direct connection among p-brane actions and (generalized) Yang-Mills theories, see [20].…”