TL;DR: In this paper, it was shown that the membrane states required by the supersymmetric matrix quantum mechanics are contained as excitations of the matrix model, which is a non-perturbative realization of the holographic principle.
Abstract: We suggest and motivate a precise equivalence between uncompactified 11-dimensional $M$ theory and the $N=\ensuremath{\infty}$ limit of the supersymmetric matrix quantum mechanics describing $D0$ branes. The evidence for the conjecture consists of several correspondences between the two theories. As a consequence of supersymmetry the simple matrix model is rich enough to describe the properties of the entire Fock space of massless well separated particles of the supergravity theory. In one particular kinematic situation the leading large distance interaction of these particles is exactly described by supergravity. The model appears to be a nonperturbative realization of the holographic principle. The membrane states required by $M$ theory are contained as excitations of the matrix model. The membrane world volume is a noncommutative geometry embedded in a noncommutative spacetime.
TL;DR: It is shown that D-branes, extended objects defined by mixed Dirichlet-Neumann boundary conditions, break half the supersymmetries of the type II superstring and carry a complete set of electric and magnetic Ramond-Ramond charges.
Abstract: We show that D-branes, extended objects defined by mixed Dirichlet-Neumann boundary conditions, break half the supersymmetries of the type II superstring and carry a complete set of electric and magnetic Ramond-Ramond charges. The product of the electric and magnetic charges is a single Dirac unit, and the quantum of charge is that required by string duality. This is strong evidence that D-branes are intrinsic to type II string theory and are the Ramond-Ramond sources needed for string duality. Also, we find in the IIa string a 9-form potential, which gives an effective cosmological constant.
TL;DR: In this paper, it was shown that the Type IIB superstring in ten dimensions has a family of soliton and bound state strings permuted by SL(2, Z ) and the space-time coordinates enter tantalizingly in the formalism as noncommuting matrices.
TL;DR: The supermembrane can be viewed as a limiting case of a class of models in supersymmetric quantum mechanics and its ground state can be examined in this article, where the complexity of the ground state and various truncations of these models are examined.
TL;DR: In this paper, the authors proved an identity that equates the elliptic genus partition function of a supersymmetric sigma model on the N-fold symmetric product M N /SN of a manifold M to the partition function for a second quantized string theory on the space M × S 1, where the generating function of these elliptic genera is shown to be an automorphic form for O(3,2, Z).
Abstract: In this note we prove an identity that equates the elliptic genus partition function of a supersymmetric sigma model on the N-fold symmetric product M N /SN of a manifold M to the partition function of a second quantized string theory on the space M × S 1 . The generating function of these elliptic genera is shown to be (almost) an automorphic form for O(3,2, Z). In the context of D-brane dynamics, this result gives a precise computation of the free energy of a gas of D-strings inside a higher-dimensional brane.