Zero and One-dimensional Probes with N=8 Supersymmetry

Abstract

We study the symmetry structure of N=8 quantum mechanics, and apply it to the physics of D0-brane probes in type I' string theory. We focus on the theory with a global $Spin(8)$ R symmetry which arises upon dimensional reduction from $2d$ field theory with $(0,8)$ supersymmetry. There are several puzzles involving supersymmetry which we resolve. In particular, by taking into account the gauge constraint and central charge we explain how the system preserves supersymmetry despite having different numbers of bosonic and fermionic variables. The resulting zero-point energy leads to a linear potential consistent with supersymmetry, and the metric is largely unconstrained. We discuss implications for type I' string theory and the matrix model proposal for M theory.

13 pages, harvmac big; minor reference change

References in corpus (1)

• On Gauge Bosons in the Matrix Model Approach to M Theory

Cited by in corpus (47)

• Brane Dynamics and Gauge Theory
• Orbifold Resolution by D-Branes
• Holographic Wilson Loops
• The Holographic Dual of AdS3 x S3 x S3 x S1
• Heterotic M(atrix) Strings and Their Interactions
• D-branes and Matrix Theory in Curved Space
• Branes and the Swampland
• String Webs and 1/4 BPS Monopoles
• Ghost D-branes
• Branes, Orientifolds and the Creation of Elementary Strings
• Branes on Generalized Calibrated Submanifolds
• Brane Box Realization of Chiral Gauge Theories in Two Dimensions
• Massive IIA String Theory and Matrix Theory Compactification
• Localized modes at a D-brane--O-plane intersection and heterotic Alice strings
• The Moduli Space and M(atrix) Theory of 9d N=1 Backgrounds of M/String Theory
• Heterotic versus Type I
• ADHM Revisited: Instantons and Wilson Lines
• The Quantum Hall Effect in Supersymmetric Chern-Simons Theories
• (0,4) brane box models
• N=(0,4) Black String Chains
• Quantum Gravity Bounds on N=1 Effective Theories in Four Dimensions
• USp(2k) Matrix Model: Nonperturbative Approach to Orientifolds
• Long Strings, Anomaly Cancellation, Phase Transitions, T-duality and Locality in the 2d Heterotic String
• CPT and Other Symmetries in String/M Theory
• Matrix Description of (1,0) Theories in Six Dimensions
• Wilson Lines and T-Duality in Heterotic M(atrix) Theory
• On the Quantization of Seiberg-Witten Geometry
• M(atrix) Theory on T5/Z2 Orbifold and Five-Branes
• SUSY vs E8 Gauge Theory in 11 Dimensions
• Automatic Enhancement in 6D Supergravity and F-theory Models
• On Second-Quantized Open Superstring Theory
• Domain Walls and the Creation of Strings
• Linear Dilaton Background and Fully Localized Intersecting Five-branes
• Superstrings from Supergravity
• P-P' Strings in M(atrix) Theory
• Heterotic plane wave matrix models and giant gluons
• More Superstrings from Supergravity
• Quantum Geometry and $\theta$-Angle in Five-Dimensional Super Yang-Mills
• Supersymmetric Wilson Loops, Instantons, and Deformed $\mathcal{W}$-Algebras
• Matrix Compactification On Orientifolds
• D-branes and Creation of Strings
• Anatomy of a Duality
• Matrix Orientifolding and Models with Four or Eight Supercharges
• Probing Type I' String Theory Using D0 and D4-Branes
• String Creation, D-branes and Effective Field Theory
• Orientifolded Matrices and Supersymmetries that Give Rise to Spacetime Directional Asymmetry of Effective Interactions
• D-instantons and Matrix Models