Anyons from strings.
نویسندگان
چکیده
The Nambu-Goto string in a three-dimensional (3D) Minkowski spacetime is quantized preserving Lorentz invariance and parity. The spectrum of massive states contains anyons. An ambiguity in the ground state energy is resolved by the 3D N=1 Green-Schwarz superstring, which has massless ground states describing a dilaton and dilatino, and first-excited states of spin 1/4.
منابع مشابه
Anyons as Dirac Strings, the Ax = 0 Gauge LPTB 93-1
We show how to quantize the anyon particle theory in a gauge, A x = 0, where the statistical potential A(x) is a Dirac string. In this gauge, anyons obey normal statistics.
متن کاملSome Aspects of Mathematical and Physical Approaches for Topological Quantum Computation
A paradigm to build a quantum computer, based on topological invariants is highlighted. The identities in the ensemble of knots, links and braids originally discovered in relation to topological quantum field theory are shown: how they define Artin braid group – the mathematical basis of topological quantum computation (TQC). Vector spaces of TQC correspond to associated strings of particle int...
متن کاملT-duality for boundary-non-critical point-particle and string quantum mechanics
It is observed that some structures recently uncovered in the study of CalogeroSutherland models and anyons are close analogs of well-known structures of boundary conformal field theory. These examples of “boundary conformal quantum mechanics”, in spite of their apparent simplicity, have a rather reach structure, including some sort of T-duality, and could provide useful frameworks for testing ...
متن کاملCanonical Bf-type Topological Field Theory and Fractional Statistics of Strings
We consider BF-type topological field theory coupled to non-dynamical particle and string sources on spacetime manifolds of the form IR1 × M3, where M3 is a 3-manifold without boundary. Canonical quantization of the theory is carried out in the Hamiltonian formalism and explicit solutions of the Schrödinger equation are obtained. We show that the Hilbert space is finite dimensional and the phys...
متن کاملD-branes in Massive IIA and Solitons in Chern-Simons Theory
We investigate D2-branes and D4-branes parallel to D8-branes. The low energy world volume theory on the branes is non-supersymmetric Chern-Simons theory. We identify the fundamental strings as the anyons of the 2+1 Chern-Simons theory and the D0-branes as solitons. The Chern-Simons theory with a boundary is modeled using NS 5-branes with ending D6-branes. The brane set-up provides for a graphic...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review letters
دوره 105 19 شماره
صفحات -
تاریخ انتشار 2010