278 research outputs found
Abelian M5-brane on
We study the abelian M5 brane on . From the spectrum we extract a series
expansion for the heat kernel. In particular we determine the normalization for
the coefficient in the M5 brane conformal anomaly. When we compare our
result with what one gets by computing the
Hadamard-Minakshisundaram-DeWitt-Seeley coefficients from local curvature
invariants on , we first find a mismatch of one unit. This mismatch is due
to an overcounting of one zero mode. After subtracting this contribution, we
finally find agreement. We perform dimensional reduction along a singular
circle fiber to five dimensions where we find the conformal anomaly vanishes.Comment: 40 page
A short representation of the six-dimensional (2, 0) algebra
We construct a BPS-saturated representation of the six-dimensional (2, 0)
algebra with a certain non-zero value of the `central' charge. This
representation is naturally carried by strings with internal degrees of freedom
rather than by point particles. Upon compactification on a circle, it reduces
to a massive vector multiplet in five dimensions. We also construct quantum
fields out of the creation and annihilation operators of the states of this
representation, and show how they give rise to a conserved two-form current
that can be coupled to a tensor multiplet. We hope that these results may be
relevant for understanding the degrees of freedom associated with strings in
interacting (2, 0) theories.Comment: 11 page
Partially twisted superconformal M5 brane in R-symmetry gauge field backgrounds
We obtain the action for a curved superconformal abelian M5 brane with the
background R-symmetry gauge field turned on. We then restrict ourselves to
superconformal M5 brane on a sphere times flat Minkowski space. We choose
R-symmetry SO(1,4) instead of SO(5), which enables us to partially twist on
Minkowski space and replace it by some curved Lorentzian manifold. We obtain M5
brane actions on and where actions
and all fields, including the background gauge field, are real. Dimensional
reduction along time gives real 5d SYM actions with nonabelian generalizations.Comment: 31 pages, a discussion on unitarity is adde
Determinants of Firm R&D: Evidence from Swedish Firm Level Data
This paper analyses determinants of firm R&D and if predictions from the model of creative destruction is supported by data using matched employer-employee longitudinal data on the Swedish manufacturing industry. In particular, we analyse the impact of competition on R&D. Using various measures of competition, results indicate that competition is likely to contract firm R&D expenditures. We do not find strong support for the expected large-firm advantage in R&D through scale effects. In addition, firm R&D appears positively correlated with its own export and to the R&D-intensity of other firms within the same concern, indicating the existence of knowledge spillovers.R&D; Competition; Firm size; Spillovers
Selfdual strings and loop space Nahm equations
We give two independent arguments why the classical membrane fields should be
loops. The first argument comes from how we may construct selfdual strings in
the M5 brane from a loop space version of the Nahm equations. The second
argument is that there appears to be no infinite set of finite-dimensional Lie
algebras (such as for any ) that satisfies the algebraic structure
of the membrane theory.Comment: 28 pages, various additional comment
Low energy dynamics of self-dual A_1 strings
We examine the interrelation between the (2,0) supersymmetric six dimensional
effective action for the A_1 theory, and the corresponding low-energy theory
for the collective coordinates associated to supersymmetric selfdual BPS
strings. We argue that this low-energy theory is a two-dimensional N = 4
supersymmetric sigma model.Comment: 8 pages. The ansatz for the fermionic collective coordinates has been
slightly modified, and a discussion of its validity has been included. The
curvature term has been corrected. To be published in Nuclear Physics
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