Casimir Effect Between World-Branes in Heterotic M-Theory

Abstract

We study a non-supersymmetric $E_8\times {\bar{E}}_8$ compactification of M-theory on $S^1/Z_2$, related to the supersymmetric $E_8\times E_8$ theory by a chirality flip at one of the boundaries. This system represents an M-theory analog of the D-brane anti-D-brane systems of string theory. Alternatively, this compactification can be viewed as a model of supersymmetry breaking in the ``brane-world'' approach to phenomenology. We calculate the Casimir energy of the system at large separations, and show that there is an attractive Casimir force between the $E_8$ and ${\bar{E}}_8$ boundary. We predict that a tachyonic instability develops at separations of order the Planck scale, and discuss the possibility that the M-theory fivebrane might appear as a topological defect supported by the $E_8\times {\bar{E}}_8$ system. Finally, we analyze the eventual fate of the configuration, in the semiclassical approximation at large separations: the two ends of the world annihilate by nucleating wormholes between the two boundaries.

26 pp, 3 figures, harvmac (b); v2: typos corrected

References in corpus (4)

• A Large Mass Hierarchy from a Small Extra Dimension
• Universality of the Tachyon Potential
• Self-Duality, Ramond-Ramond Fields, and K-Theory
• On Brane-Antibrane Forces

Cited by in corpus (122)

• Eternal Black Holes in AdS
• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Don't Panic! Closed String Tachyons in ALE Spacetimes
• Cosmological Breaking of Supersymmetry?
• A Warped Supersymmetric Standard Model
• Radion effective potential in the Brane-World
• Clean Time-Dependent String Backgrounds from Bubble Baths
• On Smooth Time-Dependent Orbifolds and Null Singularities
• The Casimir Effect on Background of Conformally Flat Brane--World Geometries
• The Casimir Effect in the Presence of a Minimal Length
• Things Fall Apart: Topology Change from Winding Tachyons
• Nonperturbative Instability of AdS_5 x S^5/Z_k
• Surface Casimir densities and induced cosmological constant on parallel branes in AdS
• Closed String Tachyon Condensation on Twisted Circles
• Surface Casimir densities and induced cosmological constant in higher dimensional braneworlds
• Wightman function and Casimir densities on AdS bulk with application to the Randall-Sundrum braneworld
• (De)Stabilization of an extra dimension due to a Casimir force
• The Casimir Effect in the Presence of Compactified Universal Extra Dimensions
• Quantized bulk fermions in the Randall-Sundrum brane model
• Overview Of K-Theory Applied To Strings
• Dynamical Decay of Brane-Antibrane and Dielectric Brane
• Closed String Tachyons, AdS/CFT, and Large N QCD
• The Casimir Force in Randall Sundrum Models
• Wightman function and vacuum fluctuations in higher dimensional brane models
• Casimir force for a scalar field in warped brane worlds
• The Casimir Force in Randall Sundrum Models with q+1 dimensions
• Bubbles in Anti-de Sitter Space
• Brane/antibrane dynamics and KKLT stability
• Bosonic M Theory
• Raising Anti de Sitter Vacua to de Sitter Vacua in Heterotic M-Theory
• Sign Flip in the Casimir Force for Interacting Fermion Systems
• Finite Temperature Casimir Effect in Kaluza-Klein Spacetime
• Finite temperature Casimir effect in spacetime with extra compactified dimensions
• Closed String Tachyons and Semi-Classical Instabilities
• The asymptotic behavior of Casimir force in the presence of compactified universal extra dimensions
• Scalar heat kernel with boundary in the worldline formalism
• Anomalous Casimir effect in axion electrodynamics
• What Does(n't) K-theory Classify?
• D-brane Models with Non-Linear Supersymmetry
• Casimir Effect in Spacetime with Extra Dimensions -- From Kaluza-Klein to Randall-Sundrum Models
• Spacelike and Time Dependent Branes from DBI
• Tachyon condensation in unstable type I D-brane systems
• Quantum effects, brane tension and large hierarchy in the brane-world
• The Loop Group of E_8 and K-Theory from 11d
• Catastrophic Decays of Compactified Space-Times
• On the Casimir effect for parallel plates in the spacetime with one extra compactified dimension
• Non-BPS Branes of Supersymmetric Brane Worlds
• CPT and Other Symmetries in String/M Theory
• Casimir Energy Densities for Parallel Plate on Background of Conformally Flat Brane-World Geometries and Cosmological Constant Problem
• Phonon-mediated Casimir interaction between finite mass impurities
• Colliding Kaluza-Klein Bubbles
• Casimir Energy and Brane Stability
• Surface vacuum energy and stresses for a brane in de Sitter spacetime
• Casimir densities for a spherical brane in Rindler-like spacetimes
• On the quantum stability of IIB orbifolds and orientifolds with Scherk-Schwarz SUSY breaking
• Fermionic vacuum currents in topologically nontrivial braneworlds: Two-brane geometry
• Balancing the vacuum energy in heterotic $M$-theory
• Bubble of nothing decays of unstable theories
• Wightman function and vacuum densities for a Z_2-symmetric thick brane in AdS spacetime
• A Direct Approach to the Electromagnetic Casimir Energy in a Rectangular Waveguide
• de Sitter Decays to Infinity
• SUSY vs E8 Gauge Theory in 11 Dimensions
• Electromagnetic field correlators and the Casimir effect for planar boundaries in AdS spacetime with application in braneworlds
• The Casimir force on a piston in Randall-Sundrum models
• Semiclassical instability of the brane-world: Randall-Sundrum bubbles
• M-Theory Through the Looking Glass: Tachyon Condensation in the E_8 Heterotic String
• Modulus stabilization and IR-brane kinetic terms in gauge-Higgs unification
• From E_8 to F via T
• Vacuum densities for a brane intersecting the AdS boundary
• Comments on Unstable Branes
• A stable vacuum of the tachyonic E8 string
• The Casimir effect for a cavity in the presence of compactified universal extra dimension
• The Casimir effect at finite temperature in the presence of compactified universal extra dimensions
• Brane world corrections to scalar vacuum force in RSII-p
• Detuned Branes and Supersymmetry Breaking
• Closed-String Tachyon Condensation and the Worldsheet Super-Higgs Effect
• Loop-Effects in Pseudo-Supersymmetry
• A Note on Perturbative and Nonperturbative Instabilities of Twisted Circles
• Superfield description of gravitational couplings in generic 5D supergravity
• Free energy and critical temperature in eleven dimensions
• Brane gas-driven bulk expansion as a precursor stage to brane inflation
• Casimir effect in a six-dimensional vortex scenario
• One-loop Kaehler potential in 5D gauged supergravity with generic prepotential
• Brane world supersymmetry, detuning, flipping and orbifolding
• Casimir densities for two spherical branes in Rindler-like spacetimes
• On Witten's Instability and Winding Tachyons
• Impacts of non-geometric moduli on effective theory of 5D supergravity
• Radion and Higgs masses in gauge-Higgs unification
• Quantum vacuum effects in braneworlds on AdS bulk
• Corners in M-theory
• Dark Horse, Dark Matter: Revisiting the SO(16)x SO(16)' Nonsupersymmetric Model in the LHC and Dark Energy Era
• Static solutions in the R^4 brane world
• Hidden Borcherds symmetries in Z_n orbifolds of M-theory and magnetized D-branes in type 0' orientifolds
• States of Negative Energy and $Ad{S}_5\times S_5/Z_k$
• The Casimir force between parallel plates in Randall-Sundrum I model
• Revisiting Vacuum Energy in Compact Spacetimes
• The Casimir force in noncommutative Randall-Sundrum models
• Casimir effect in a two dimensional signature changing spacetime
• The Casimir force on a piston at finite temperature in Randall-Sundrum models
• Neutralizing Topological Obstructions to Bubbles of Nothing
• Virtual Reality in the World of Holograms
• Casimir effect in polymer scalar field theory
• Vacuum densities and the Casimir forces for branes orthogonal to the AdS boundary
• One loop effective potential in heterotic M-theory
• Casimir effect between moving branes
• 5D gravitational waves from complexified black rings
• Vacuum densities for a thick brane in AdS spacetime
• TeV-scale gravity in Horava-Witten theory on a compact complex hyperbolic threefold
• Casimir stress on parallel plates in de Sitter space with signature change
• Morse-Bott inequalities, Topology Change and Cobordisms to Nothing
• Reducing heterotic M-theory to five dimensional supergravity on a manifold with boundary
• Constraints on heterotic M-theory from s-cobordism
• On The Problem of Vacuum energy in Brane Theories
• One-Loop Radiative Corrections to the QED Casimir Energy
• Brane-induced decay of the Kaluza-Klein vacuum
• String Theory, Large Dimensions and Supersymmetry
• Heterotic Ouroboros
• Casimir energy for the scalar field: a global approach with cut-off exponential function
• Scalar Casimir effect for a conducting cylinder in a Lorentz violating background
• Electromagnetic Wightman functions and vacuum densities for a brane intersecting the AdS boundary
• The Utility of Quantum Field Theory
• Kaluza-Klein bubble like structure and celestial sphere in inflationary universe