7,138 research outputs found
Analytic Continuation of Massless Two-Loop Four-Point Functions
We describe the analytic continuation of two-loop four-point functions with
one off-shell external leg and internal massless propagators from the Euclidean
region of space-like decay to Minkowskian regions relevant to all
and reactions with one space-like or time-like off-shell
external leg. Our results can be used to derive two-loop master integrals and
unrenormalized matrix elements for hadronic vector-boson-plus-jet production
and deep inelastic two-plus-one-jet production, from results previously
obtained for three-jet production in electron--positron annihilation.Comment: 26 pages, LaTe
On certain statistical properties of continued fractions with even and with odd partial quotients
We prove results concerning the joint limiting distribution of the renewal
time of denominators and consecutive digits of random irrational numbers in the
case of continued fractions with even partial quotients, with odd partial
quotients, and for Nakada's \alpha-expansions.Comment: Final versio
Fractional Branes on a Non-compact Orbifold
Fractional branes on the non-compact orbifold \C^3/\Z_5 are studied. First,
the boundary state description of the fractional branes are obtained. The
open-string Witten index calculated using these states reproduces the adjacency
matrix of the quiver of . Then, using the toric crepant resolution of the
orbifold \C^3/\Z_5 and invoking the local mirror principle, B-type branes
wrapped on the holomorphic cycles of the resolution are studied. The boundary
states corresponding to the five fractional branes are identified as bound
states of BPS D-branes wrapping the 0-, 2- and 4-cycles in the exceptional
divisor of the resolution of \C^3/\Z_5.Comment: Latex2e, 25 pages, typos corrected, minor modifications, version to
appear in JHE
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