The quantum consistency of the 12-dimensional theory

2016 ◽  
Vol 31 (04n05) ◽  
pp. 1650010
Author(s):  
Simon Davis
Keyword(s):  
Cosmological Constant ◽  
Moduli Space ◽  
Dimensional Reduction ◽  
Text Structure ◽  
Three Dimensions ◽  
Supersymmetric Theory ◽  
Particle Spectrum ◽  
Dimensional Theory ◽  
Cosmological Constant Problem ◽  
Four Dimensions

By considering the 12-dimensional superalgebra, inferences are drawn about the finiteness of the 12-dimensional theory unifying the superstring models. The dimensional reduction of the nonsupersymmetric theory in four dimensions to a supersymmetric action in three dimensions is established for the bosonic sector. It is found to be the quotient by [Formula: see text] of the integration over the fiber coordinate of a theory with [Formula: see text] supersymmetry. Consequently, a flow on the moduli space of Spin(7) manifolds from a [Formula: see text] structure with [Formula: see text] supersymmetry yielding a phenomelogically realistic particle spectrum to a [Formula: see text] holonomy manifold compatible with supersymmetry in three dimensions and a nonsupersymmetric action in four dimensions, solving the quantum cosmological constant problem, is proven to exist. The projection of the representations of the [Formula: see text] superalgebra of the 12-dimensional theory to four dimensions include nonperturbative string solitons that are more stable because the dynamics is described by supersymmetric theory with a higher degree of finiteness.

scholarly journals STRONG COUPLING AND THE COSMOLOGICAL CONSTANT

1995 ◽  
Vol 10 (29) ◽  
pp. 2153-2155 ◽  
Author(s):  
EDWARD WITTEN
Keyword(s):  
Cosmological Constant ◽  
Strong Coupling ◽  
Three Dimensions ◽  
Four Dimensions

The vanishing of the cosmological constant and the absence of a massless dilaton might be explained by a duality between a supersymmetric string vacuum in three dimensions and a nonsupersymmetric string vacuum in four dimensions.

OBSERVATIONS ON SUPERSYMMETRY BREAKING BY SCHERK-SCHWARZ MECHANISM

1991 ◽  
Vol 06 (11) ◽  
pp. 993-1000 ◽  
Author(s):  
SOUMITRA SENGUPTA
Keyword(s):  
Cosmological Constant ◽  
Supersymmetry Breaking ◽  
Dimensional Reduction ◽  
Supersymmetric Theory ◽  
Supergravity Theory ◽  
Yang Mills ◽  
Super Yang Mills Theory

We consider the 4-dimensional N=1 supergravity theory that emerges by generalized dimensional reduction of the d=10, N=1 supergravity coupled to E8⊗E8 super-Yang-Mills theory á la Scherk-Schwarz. It is shown that the Scherk-Schwarz mechanism leads to a spontaneously broken N=1, D=4 locally supersymmetric theory with vanishing cosmological constant only if some non-perturbative mechanism like gaugino condensation takes place in the hidden E8 sector.

FIVE-DIMENSIONAL CHERN–SIMONS GRAVITY WITH NONLINEAR ELECTRODYNAMICS

2001 ◽  
Vol 16 (38) ◽  
pp. 2421-2429 ◽  
Author(s):  
ALFREDO MACÍAS ◽  
ENRIQUE LOZANO
Keyword(s):  
Gauge Theory ◽  
Cosmological Constant ◽  
Dimensional Reduction ◽  
Fiber Bundle ◽  
Reduction Process ◽  
Nonlinear Electrodynamics ◽  
Dimensional Theory ◽  
Chern Simons ◽  
Bonnet Term ◽  
Bundle Structure

We consider five-dimensional theory of gravity proposed recently by Chamseddine. It is based on the Chern–Simons five-form and the SO(1,5) gauge group. The action naturally contains a Gauss–Bonnet term, an Einstein term and a cosmological constant. We shall see that by imposing to this action the five-dimensional principal fiber bundle structure and the toroidal dimensional reduction process, the resulting U(1) gauge theory contains non-minimal couplings to gravity and nonlinear modifications to the standard Einstein–Maxwell–dilaton theory.

Comments on the Cosmological Constant Problem and How it Can be Solved

1997 ◽  
Vol 06 (05) ◽  
pp. 643-648 ◽  
Author(s):  
Paul S. Wesson
Keyword(s):  
General Relativity ◽  
Energy Density ◽  
Cosmological Constant ◽  
Dimensional Theory ◽  
Cosmological Constant Problem ◽  
Higher Dimensional ◽  
Theory Of Gravity

The problem of disparate estimates of the energy density of the vacuum can be solved, at least in principle, by reducing a higher-dimensional theory of gravity to general relativity and a local cosmological "constant."

AFFINE EXTENSION OF SUPERSYMMETRIC FIELD THEORY

1989 ◽  
Vol 04 (12) ◽  
pp. 2967-2975 ◽  
Author(s):  
A.C. CADAVID ◽  
R.J. FINKELSTEIN
Keyword(s):  
Field Theory ◽  
Dimensional Reduction ◽  
Dimensional Theory ◽  
Four Dimensions ◽  
Yang Mills ◽  
Affine Extension

It is shown that there is no obstacle to the affine extension of supersymmetric Yang-Mills theories. This result holds equally for loop and Kac-Moody algebras. It also holds for 4, 6, and 10 dimensions. By dimensional reduction of the 10-dimensional theory one obtains a supersymmetric action describing interacting Kac-Moody fields in four dimensions.

scholarly journals Bootstrapped Newtonian Cosmology and the Cosmological Constant Problem

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 358
Author(s):  
Roberto Casadio ◽  
Andrea Giusti
Keyword(s):  
Black Holes ◽  
Cosmological Constant ◽  
Quantum Cosmology ◽  
Quantum Physics ◽  
Gravitational Interaction ◽  
Newtonian Gravity ◽  
Cosmological Constant Problem ◽  
Newtonian Cosmology ◽  
Natural Solution ◽  
The Impact

Bootstrapped Newtonian gravity was developed with the purpose of estimating the impact of quantum physics in the nonlinear regime of the gravitational interaction, akin to corpuscular models of black holes and inflation. In this work, we set the ground for extending the bootstrapped Newtonian picture to cosmological spaces. We further discuss how such models of quantum cosmology can lead to a natural solution to the cosmological constant problem.

scholarly journals de Sitter in non-supersymmetric string theories: no-go theorems and brane-worlds

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Ivano Basile ◽  
Stefano Lanza
Keyword(s):  
Flux Compactifications ◽  
Cosmological Constant ◽  
Dimensional Reduction ◽  
Brane World ◽  
De Sitter ◽  
Top Down ◽  
Brane Worlds ◽  
Concrete Realization ◽  
String Models ◽  
String Theories

Abstract We study de Sitter configurations in ten-dimensional string models where supersymmetry is either absent or broken at the string scale. To this end, we derive expressions for the cosmological constant in general warped flux compactifications with localized sources, which yield no-go theorems that extend previous works on supersymmetric cases. We frame our results within a dimensional reduction and connect them to a number of Swampland conjectures, corroborating them further in the absence of supersymmetry. Furthermore, we construct a top-down string embedding of de Sitter brane-world cosmologies within unstable anti-de Sitter landscapes, providing a concrete realization of a recently revisited proposal.

scholarly journals LARGE QUANTUM GRAVITY EFFECTS: CYLINDRICAL WAVES IN FOUR DIMENSIONS

2000 ◽  
Vol 09 (06) ◽  
pp. 669-686 ◽  
Author(s):  
MARÍA E. ANGULO ◽  
GUILLERMO A. MENA MARUGÁN
Keyword(s):  
Quantum Gravity ◽  
Symmetry Axis ◽  
Point Of View ◽  
Three Dimensions ◽  
Asymptotic Region ◽  
Four Dimensions ◽  
Cylindrical Waves ◽  
Significant Difference ◽  
Gravity Effects ◽  
Linearly Polarized

Linearly polarized cylindrical waves in four-dimensional vacuum gravity are mathematically equivalent to rotationally symmetric gravity coupled to a Maxwell (or Klein–Gordon) field in three dimensions. The quantization of this latter system was performed by Ashtekar and Pierri in a recent work. Employing that quantization, we obtain here a complete quantum theory which describes the four-dimensional geometry of the Einstein–Rosen waves. In particular, we construct regularized operators to represent the metric. It is shown that the results achieved by Ashtekar about the existence of important quantum gravity effects in the Einstein–Maxwell system at large distances from the symmetry axis continue to be valid from a four-dimensional point of view. The only significant difference is that, in order to admit an approximate classical description in the asymptotic region, states that are coherent in the Maxwell field need not contain a large number of photons anymore. We also analyze the metric fluctuations on the symmetry axis and argue that they are generally relevant for all of the coherent states.

scholarly journals TIME, VACUUM ENERGY, AND THE COSMOLOGICAL CONSTANT

2009 ◽  
Vol 18 (14) ◽  
pp. 2265-2268 ◽  
Author(s):  
VIQAR HUSAIN
Keyword(s):  
Quantum Gravity ◽  
Cosmological Constant ◽  
Vacuum Energy ◽  
Cosmological Constant Problem ◽  
Problem Of Time ◽  
The Relationship

We describe a link between the cosmological constant problem and the problem of time in quantum gravity. This arises from examining the relationship between the cosmological constant and vacuum energy in light of nonperturbative formulations of quantum gravity.

Sign in / Sign up

Export Citation Format

Share Document