Constraints from extended supersymmetry in quantum mechanics

  title={Constraints from extended supersymmetry in quantum mechanics},
  author={Sonia Paban and Savdeep Sethi and Mark A. Stern},
  journal={Nuclear Physics},
Abstract We consider quantum mechanical gauge theories with sixteen supersymmetries. The Hamiltonians or Lagrangians characterizing these theories can contain higher derivative terms. In the operator approach, we show that the free theory is essentially the unique abelian theory with up to four derivatives in the following sense: any small deformation of the free theory, which preserves the supersymmetries, can be gauged away by a unitary conjugation. We also present a method for deriving… Expand
Supersymmetric completion of supersymmetric quantum mechanics
Abstract Via supersymmetry argument, we determine the effective action of the SU(2) supersymmetric Yang-Mills quantum mechanics up to two constants, which results from the full supersymmetricExpand
On the relation between effective supersymmetric actions in different dimensions
We make two remarks: (i) Renormalization of the effective charge in a four-dimensional (supersymmetric) gauge theory is determined by the same graphs and is rigidly connected to the renormalizationExpand
Constraints on higher derivative operators in the matrix theory effective lagrangean
The consistency of Matrix theory with supergravity requires that in the large Nc limit terms of order v4 in the SU(Nc) Matrix effective potential are not renormalized beyond one loop in perturbationExpand
A theorem on the power of supersymmetry in Matrix theory
Abstract For the so-called source-probe configuration in Matrix theory, we prove the following theorem concerning the power of supersymmetry (SUSY): let δ be a quantum-corrected effective SUSYExpand
Recursion relations from space-time supersymmetry
We describe a method for obtaining relations between higher derivative interactions in supersymmetric effective actions. The method extends to all orders in the momentum expansion. As an application,Expand
Non-commutativity and Supersymmetry
We study the extent to which the gauge symmetry of abelian Yang-Mills can be deformed under two conditions: first, that the deformation depend on a two-form scale. Second, that the deformationExpand
Approximations for strongly-coupled supersymmetric quantum mechanics
We advocate a set of approximations for studying the finite temperature behavior of strongly-coupled theories in 0+1 dimensions. The approximation consists of expanding about a Gaussian action, withExpand
Higher derivative couplings in theories with sixteen supersymmetries
We give simple arguments for new nonrenormalization theorems on higher derivative couplings of gauge theories to supergravity, with sixteen supersymmetries, by considerations of brane-bulkExpand
Supervertices and Non-renormalization Conditions in Maximal Supergravity Theories
We construct higher derivative supervertices in an effective theory of maximal supergravity in various dimensions, in the super spinor helicity formalism, and derive non-renormalization conditions onExpand
Three-graviton scattering in Matrix theory revisited
Abstract We consider a subset of the terms in the effective potential describing three-graviton interactions in Matrix theory and in classical eleven-dimensional supergravity. In agreement with theExpand


On quantum mechanics with extended supersymmetry and nonabelian gauge constraints
Abstract We analyze a weakly restricted general class of quantum mechanical models with at least four real supercharges and nonabelian gauge constraints. The innocent-looking restrictions leadExpand
On the quantum mechanics of M (atrix) theory
Abstract We present a studu of M (atrix) theory from a purely canonical viewpoint. In particular, we identify free particle asymptotic states of the model corresponding to the supergraviton multipletExpand
M theory as a matrix model: A Conjecture
We suggest and motivate a precise equivalence between uncompactified 11-dimensional M theory and the N={infinity} limit of the supersymmetric matrix quantum mechanics describing D0 branes. TheExpand
A note on supersymmetric D-brane dynamics
We study the spin dependence of D-brane dynamics in the Green-Schwarz formalism of boundary states. In particular we show how to interpret insertion of supercharges on the boundary state as sourcesExpand
Bound states of strings and p-branes
Abstract The recent discovery of an explicit conformal field theory description of Type II p-branes makes it possible to investigate the existence of bound states of such objects. In particular, itExpand
Fierz identities for real Clifford algebras and the number of supercharges
One considers supersymmetric gauge theories in quantum mechanics with the bosons and fermions belonging to the adjoint representation of the gauge group. One shows that the supersymmetry constraintsExpand
Effects of D instantons
Scattering of fundamental states of type IIB supergravity and superstring theory is discussed at low orders in perturbation theory in the background of a D-instanton. The integration over fermionicExpand
Abstract The most general higher derivative Yang-Mills actions of the type (F2 + α2F4) which are globally supersymmetric up to order α2 in six- and ten-dimensional spacetimes are given. The F4-termsExpand
Nonrenormalization theorem for the d=1, N=8 vector multiplet
Sigma models describing low energy effective actions on D0-brane probes with N=8 supercharges are studied in detail using a manifestly d=1, N=4 superspace formalism. Two (0+1)-dimensional N=4Expand
A note on effective lagrangians in matrix theory
Abstract We study the relation between the effective Lagrangian in Matrix Theory and eleven dimensional supergravity. In particular, we provide a relationship between supergravity operators and theExpand