New Principles for String/Membrane Unification

Abstract

The target space theory of the N=(2,1) heterotic string may be interpreted as a theory of gravity coupled to matter in either $1+1$ or $2+1$ dimensions. Among the target space theories in $1+1$ dimensions are the bosonic, type II, and heterotic string world sheet field theories in a physical gauge. The $2+1$ dimensional version describes a consistent quantum theory of supermembranes in $10+1$ dimensions. The unifying framework for all of these vacua is a theory of $2+2$ dimensional self-dual geometries embedded in $10+2$ dimensions. There are also indications that the N=(2,1) string describes the strong coupling dynamics of compactifications of critical string theories to two dimensions, and may lead to insights about the fundamental degrees of freedom of the theory.

26+2 pages, harvmac; minor errors corrected, references altered

References in corpus (11)

• Dirichlet-Branes and Ramond-Ramond Charges
• Heterotic and Type I String Dynamics from Eleven Dimensions
• Evidence for F-Theory
• D-branes from M-branes
• Algebras, BPS States, and Strings
• Self-duality of Born-Infeld action and Dirichlet 3-brane of type IIB superstring theory
• D-brane actions
• Chiral Rings, Singularity Theory and Electric-Magnetic Duality
• String Dynamics at Strong Coupling
• Vacua of M-theory and N=2 strings
• A (1,2) Heterotic String with Gauge Symmetry

Cited by in corpus (82)

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• Introduction to Seiberg-Witten Theory and its Stringy Origin
• Gauged Duality, Conformal Symmetry, and Spacetime with Two Times
• BPS Quantization of the Five-Brane
• A Non-Supersymmetric Open String Theory and S-Duality
• Interactions of strings and D-branes from M theory
• Brane Surgery
• Theories with Two Times
• Algebraic Aspects of Matrix Theory on T^d
• String and Particle with Two Times
• Supersymmetric Yang-Mills Equations in 10+2 Dimensions
• Vacua of M-theory and N=2 strings
• Conformal Symmetry and Duality between Free Particle, H-atom and Harmonic Oscillator
• Membrane tension and manifest IIB S-duality
• Two-Time Physics in Field Theory
• Off-Shell Formulation of N=2 Non-Linear Sigma-Models
• String Theory of Supertubes
• A case for 14 dimensions
• Extremality Versus Supersymmetry in Stringy Black Holes
• Actions For (2,1) Sigma-Models and Strings
• Higher-dimensional WZW Model on Kähler Manifold and Toroidal Lie Algebra
• Gauge symmetry in phase space with spin, a basis for conformal symmetry and duality among many interactions
• The twelve dimensional super (2+2)-brane
• Two-Time Physics with gravitational and gauge field backgrounds
• Liouville theory and Matrix models: A Wheeler DeWitt perspective
• Duality-Symmetric Three-Brane and its Coupling to Type IIB Supergravity
• Super Yang-Mills in (11,3) Dimensions
• T-duality off shell in 3D Type II superspace
• Superstrings with new supersymmetry in (9,2) and (10,2) dimensions
• Strings in a 2-d Extremal Black Hole
• M-branes and N=2 Strings
• On the Boundary Dynamics of Chern-Simons Gravity
• Matroid Theory and Chern-Simons
• Holomorphic Chern-Simons-Witten Theory: from 2D to 4D Conformal Field Theories
• Superparticles in D>11
• Searching for a Connection Between Matroid Theory and String Theory
• The Geometry of Sigma-Models with Twisted Supersymmetry
• Towards an Ashtekar formalism in eight dimensions
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• Supersymmetric Yang-Mills Theories in $D\ge 12$
• Supergravity in the group-geometric framework: a primer
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• Compactification of Tensionless String Theories
• Embedding Diagrams of N=2 Verma Modules and Relaxed ^sl(2) Verma Modules
• F-theory from Dirichlet 3-branes
• Supergravity Theories in $D\ge 12$ Coupled to Super p-Branes
• Supersymmetry in Dimensions Beyond Eleven
• N=2 Quantum String Scattering
• Extra Dimensions in Superstring Theory
• Self-Dual Supergravity from N=2 Strings
• P-Branes, Poisson-Sigma-Models and Embedding Approach to (p+1)- Dimensional Gravity
• Lagrangian and Covariant Field Equations for Supersymmetric Yang-Mills Theory in 12D
• Generalised supersymmetry and p-brane actions
• Osp(1|8)-Gravity
• The Geometry of Exceptional Super Yang-Mills Theories
• Geometry, Isometries and Gauging of (2,1) Heterotic Sigma-Models
• BPS States in 10+2 Dimensions
• The Gauged (2,1) Heterotic Sigma-Model
• A locally supersymmetric $SO(10,2)$ invariant action for $D=12$ supergravity
• On a possible new R^2 theory of supergravity
• Families of N=2 Strings
• Static Vacuum Solutions on Curved Spacetimes with Torsion
• Towards an Ashtekar Formalism in Twelve Dimensions
• Topological A-Type Models with Flux
• Enlarged exceptional symmetries of first-quantized F-theory
• F-theory with zeroth-quantized ghosts
• Large N Field Theory of N=2 Strings and Self-Dual Gravity
• AdS(3) x R as a target space for the (2,1) string theory
• T-Duality in $(2,1)$ Superspace
• The 2+2-Signature and the 1+1-Matrix-Brane
• Conformal Invariance and Duality in Self-Dual Gravity and (2,1) Heterotic String Theory
• Is There a Stringy Description of Self-Dual Supergravity in 2+2 Dimensions?
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• Mixed (open/closed) N=(2,2) string theory as an integrable deformation of self-duality
• Gluino Condensation in F-theory
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• The target space geometry of N=(2,1) string theory
• Non-Abelian Gravity and Antisymmetric Tensor Gauge Theory
• Flipped $SU(5)$ GUT with conformal gravity from a single supermultiplet