208,643 research outputs found
Interaction Between Supernova Remnant G22.7-0.2 And The Ambient Molecular Clouds
We have carried out 12CO (J=1-0 and 2-1), 13CO (J=1-0), and C18O (J=1-0)
observations in the direction of the supernova remnant (SNR) G22.7-0.2. A
filamentary molecular gas structure, which is likely part of a larger molecular
complex with VLSR~75-79 km/s, is detected and is found to surround the southern
boundary of the remnant. In particular, the high-velocity wing (77-110 km/s) in
the 12CO (J=1-0 and J=2-1) emission shows convincing evidence of the
interaction between SNR G22.7-0.2 and the 75-79 km/s molecular clouds (MCs).
Spectra with redshifted profiles, a signature of shocked molecular gas, are
seen in the southeastern boundary of the remnant. The association between the
remnant and the 77 km/s MCs places the remnant at the near distance of 4.0-4.8
kpc, which agrees with a location on the Scutum-Crux arm. We suggest that SNR
G22.7-0.2, SNR W41, and HII region G022.760-0.485 are at the same distance and
are associated with GMC G23.0-0.4.Comment: 9 pages, 9 figures, 3 tables, accepted for publication in Ap
Universal Features of Four-Dimensional Superconformal Field Theory on Conic Space
Following the set up in arXiv:1408.3393, we study 4d N=1 superconformal field
theories in conic spaces. We show that the universal part of supersymmetric
R\'enyi entropy S_q across a spherical entangling surface in the limit q goes
to 0 is proportional to a linear combination of central charges, 3c-2a. This is
equivalent to a similar statement about the free energy of SCFTs on conic space
or hyperbolic space S^1_q*H^3 in the corresponding limit. We first derive the
asymptotic formula by the free field computation in the presence of a U(1)
R-symmetry background and then provide an independent derivation by studying
N=1 theories on a primary Hopf surface S^1_\beta*S^3_b with a particular
scaling \beta~1/\sqrt{q} and b=\sqrt{q}, which thus confirms the validity of
the formula for general interacting N=1 SCFTs. Finally we revisit the
supersymmetric R\'enyi entropy of general N=2 SCFTs and find a simple formula
for it in terms of central charges a and c.Comment: 1+32 page
Information Theoretic Inequalities as Bounds in Superconformal Field Theory
An information theoretic approach to bounds in superconformal field theories
is proposed. It is proved that the supersymmetric R\'enyi entropy is a monotonically decreasing function of and
is a concave function of . Under the
assumption that the thermal entropy associated with the "replica trick" time
circle is bounded from below by the charge at , it is further
proved that both and monotonically increase as functions of . Because enjoys universal relations with the Weyl anomaly coefficients in
even-dimensional superconformal field theories, one therefore obtains a set of
bounds on these coefficients by imposing the inequalities of .
Some of the bounds coincide with Hofman-Maldacena bounds and the others are
new. We also check the inequalities for examples in odd-dimensions.Comment: 8 pages, v2: one reference added+minor changes+assumption relaxe
Supersymmetric Renyi Entropy and Weyl Anomalies in Six-Dimensional (2,0) Theories
We propose a closed formula of the universal part of supersymmetric R\'enyi
entropy for superconformal theories in six-dimensions. We show
that across a spherical entangling surface is a cubic polynomial of
, with all coefficients expressed in terms of the newly discovered
Weyl anomalies and . This is equivalent to a similar statement of the
supersymmetric free energy on conic (or squashed) six-sphere. We first obtain
the closed formula by promoting the free tensor multiplet result and then
provide an independent derivation by assuming that can be written as a
linear combination of 't Hooft anomaly coefficients. We discuss a possible
lower bound implied by our result.Comment: 30 pages+1 tabl
Constrained portfolio-consumption strategies with uncertain parameters and borrowing costs
This paper studies the properties of the optimal portfolio-consumption
strategies in a {finite horizon} robust utility maximization framework with
different borrowing and lending rates. In particular, we allow for constraints
on both investment and consumption strategies, and model uncertainty on both
drift and volatility. With the help of explicit solutions, we quantify the
impacts of uncertain market parameters, portfolio-consumption constraints and
borrowing costs on the optimal strategies and their time monotone properties.Comment: 35 pages, 8 tables, 1 figur
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