Discrete Torsion and Branes in M-theory from Mathematical Viewpoint
نویسنده
چکیده
We study orbifold group actions on fields, which are defined on each local patch, upon M-theory branes in a three-form C-fields background. We derive some constraints from the consistency of the orbifold group actions and show the probability of the existence of M-theory discrete torsion for the fields on the worldvolume and its features. March 2001 † [email protected]
منابع مشابه
D-branes on Fourfolds with Discrete Torsion
We study D1-branes on the fourfold C/(Z2 × Z2 × Z2), in the presence of discrete torsion. Discrete torsion is incorporated in the gauge theory of the D1-branes by considering a projective representation of the finite group Z2 × Z2 × Z2. The corresponding orbifold is then deformed by perturbing the F-flatness condition of the gauge theory. The moduli space of the resulting gauge theory retains a...
متن کاملDiscrete Torsion and Shift Orbifolds
In this paper we make two observations related to discrete torsion. First, we observe that an old obscure degree of freedom (momentum/translation shifts) in (symmetric) string orbifolds is related to discrete torsion. We point out how our previous derivation of discrete torsion from orbifold group actions on B fields includes these momentum lattice shift phases, and discuss how they are realize...
متن کاملRanks of modules relative to a torsion theory
Relative to a hereditary torsion theory $tau$ we introduce a dimension for a module $M$, called {em $tau$-rank of} $M$, which coincides with the reduced rank of $M$ whenever $tau$ is the Goldie torsion theory. It is shown that the $tau$-rank of $M$ is measured by the length of certain decompositions of the $tau$-injective hull of $M$. Moreover, some relations between the $tau$-rank of $M$ and c...
متن کاملOrbifold boundary states from Cardy’s condition
Boundary states for D-branes at orbifold fixed points are constructed in close analogy with Cardy’s derivation of consistent boundary states in RCFT. Comments are made on the interpretation of the various coefficients in the explicit expressions, and the relation between fractional branes and wrapped branes is investigated for C/Γ orbifolds. The boundary states are generalised to theories with ...
متن کاملD-branes on Orbifolds with Discrete Torsion And Topological Obstruction
We find the orbifold analog of the topological relation recently found by Freed and Witten which restricts the allowed D-brane configurations of Type II vacua with a topologically non-trivial flat B-field. The result relies in Douglas proposal – which we derive from worldsheet consistency conditions – of embedding projective representations on open string Chan-Paton factors when considering orb...
متن کامل