Super Yang-Mills Theory on Noncommutative Torus from Open Strings Interactions
نویسنده
چکیده
Considering the scattering of massless open strings attached to a D2-brane living in the B field background, we show that corresponding scattering upto the order of α ′2 is exactly given by the gauge theory on noncommutative background, which is characterized by the Moyal bracket. 1 Introduction After the novel work of Witten [1], it was realized that the low energy dynamics of open
منابع مشابه
Super Yang-Mills Theory on Noncommutative Torus from Open Strings Interactions
Considering the scattering of massless open strings attached to a D-string living in the B field background, we show that corresponding scattering upto the order of α ′2 is exactly given by the gauge theory on noncommutative background, which is characterized by the Moyal bracket. 1 Introduction After the novel work of Witten [1], it was realized that the low energy dynamics of open
متن کاملOne Loop Renormalizability of Supersymmetric Yang-Mills Theories on Noncommutative Two-Torus
We argue that Yang-Mills theory on noncommutative torus, expressed in the Fourrier modes, is described by a gauge theory in a usual commutative space, the gauge group being a generalization of the area preserving diffeomorphisms to the noncommutative case. In this way, performing the loop calculations in this gauge theory in the continuum limit, we show that this theory is one loop renormalizab...
متن کاملOne Loop Renormalizability of Supersymmetric Yang-Mills Theories on Noncommutative Two-Torus
We argue that Yang-Mills theory on noncommutative torus, expressed in the Fourrier modes, is described by a gauge theory in a usual commutative space, the gauge group being a generalization of the area preserving diffeomorphisms to the noncommutative case. In this way, performing the loop calculations in this gauge theory in the continuum limit, we show that this theory is one loop renormalizab...
متن کاملRenormalizability of the Supersymmetric Yang-Mills Theories On the Noncommutative Torus
We argue that Yang-Mills theory on noncommutative torus, expressed in the Fourrier modes, is described by a gauge theory in a usual commutative space, the gauge group being a generalization of the area preserving diffeomorphisms to the noncommutative case. In this way, performing the loop calculations in this gauge theory in the continuum limit, we show that this theory is renormalizable, and d...
متن کاملSupersymmetry algebra and BPS states of super Yang-Mills theories on noncommutative tori
We consider 10-dimensional super Yang-Mills theory with topological terms compactified on a noncommutative torus. We calculate supersymmetry algebra and derive BPS energy spectra from it. The cases of ddimensional tori with d = 2, 3, 4 are considered in full detail. SO(d, d,Z)invariance of the BPS spectrum and relation of new results to the previous work in this direction are discussed.
متن کامل