7,980 research outputs found
Equivalence of several descriptions for 6d SCFT
We show that the three different looking BPS partition functions, namely the
elliptic genus of the 6d gauge theory with
flavors and a tensor multiplet, the Nekrasov partition function of the 5d
gauge theory with flavors, and the Nekrasov
partition function of the 5d gauge theory with
flavors, are all equal to each other under specific maps among gauge theory
parameters. This result strongly suggests that the three gauge theories have an
identical UV fixed point. Type IIB 5-brane web diagrams play an essential role
to compute the Nekrasov partition function as well as establishing the
maps.Comment: v1: 40 pages, 13 figures, v2: published versio
5-brane webs for 5d gauge theories
We propose 5-brane webs for 5d gauge theories. From a
Higgsing of the gauge theory with a hypermultiplet in the spinor
representation, we construct two types of 5-brane web configurations for the
pure gauge theory using an O5-plane or an -plane.
Adding flavors to the 5-brane web for the pure gauge theory is also
discussed. Based on the obtained 5-brane webs, we compute the partition
functions for the 5d gauge theories using the recently suggested
topological vertex formulation with an O5-plane, and we find agreement with
known results.Comment: v1: 38 pages, 32 figures, v2: published versio
Discrete theta angle from an O5-plane
We consider 5d gauge theory based on a brane
configuration with an O5-plane. At the UV fixed point, the theory with no
matter enjoys enhanced global symmetry or depending on the
discrete theta angle (mod ). A naive brane configuration
with an O5-plane, however, does not distinguish two different theories, as it
describes the weak coupling region. We devise a technique for computing 5d
Seiberg-Witten curve of the two theories from the brane web with an O5-plane.
Their Seiberg-Witten curves show that their M5 configurations under the
presence of OM5-planes are different. The decompactification limit of each
Seiberg-Witten curve also shows distinct phase structures in their Coulomb
branch leading to significantly different 5-brane configurations with
an O5-plane in the strong coupling region.Comment: v1: 45 pages, 36 figures, v2: published version, v3: a typo correcte
A new 5d description of 6d D-type minimal conformal matter
We propose a new 5d description of the circle-compactified 6d minimal conformal matter theory which can be approached by the 6d
gauge theory with flavors and one tensor
multiplet. Compactifying the brane set-up for the 6d theory, we arrive at a
5-brane Tao diagram for 5d theory of the vanishing
Chern-Simons level with flavors. We conjecture that the 6d theory is
recovered as the UV fixed point of this 5d theory. We show that the global
symmetry of this 5d theory is identical to that of the 6d theory by
analyzing the 7-brane monodromy. By using the Tao diagram, we also find the
instanton fugacity is exactly given by the circle radius. By decoupling flavors
in this 5d theory, one can obtain all the 5d gauge theories of
various Chern-Simons levels and corresponding enhanced global symmetries at the
5d UV fixed point.Comment: v1: 21 pages, 10 figures. v2: mirror correction and references added.
v3: published versio
Statistical Analysis of the Metropolitan Seoul Subway System: Network Structure and Passenger Flows
The Metropolitan Seoul Subway system, consisting of 380 stations, provides
the major transportation mode in the metropolitan Seoul area. Focusing on the
network structure, we analyze statistical properties and topological
consequences of the subway system. We further study the passenger flows on the
system, and find that the flow weight distribution exhibits a power-law
behavior. In addition, the degree distribution of the spanning tree of the
flows also follows a power law.Comment: 10 pages, 4 figure
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