1,152 research outputs found
On the Heterotic Effective Action at One-Loop, Gauge Couplings and the Gravitational Sector
We present in detail the procedure for calculating the heterotic one-loop
effective action. We focus on gravitational and gauge couplings. We show that
the two-derivative couplings of the gravitational sector are not renormalized
at one loop when the ground state is supersymmetric. Arguments are presented
that this non-renormalization theorem persists to all orders in perturbation
theory. We also derive the full one-loop correction to the gauge coupling. For
a class of ground states, namely those that are obtained by toroidal
compactification to four dimensions of generic six-dimensional models, we
give an explicit formula for the gauge-group independent thresholds, and show
that these are equal within the whole family.Comment: LateX, 17pp. A minor correction mad
Tetrahedron maps, Yang-Baxter maps, and partial linearisations
We study tetrahedron maps, which are set-theoretical solutions to the
Zamolodchikov tetrahedron equation, and Yang-Baxter maps, which are
set-theoretical solutions to the quantum Yang-Baxter equation.
In particular, we clarify the structure of the nonlinear algebraic relations
which define linear (parametric) tetrahedron maps (with nonlinear dependence on
parameters), and we present several transformations which allow one to obtain
new such maps from known ones. Furthermore, we prove that the differential of a
(nonlinear) tetrahedron map on a manifold is a tetrahedron map as well. Similar
results on the differentials of Yang-Baxter and entwining Yang-Baxter maps are
also presented.
Using the obtained general results, we construct new examples of (parametric)
Yang-Baxter and tetrahedron maps. The considered examples include maps
associated with integrable systems and matrix groups. In particular, we obtain
a parametric family of new linear tetrahedron maps, which are linear
approximations for the nonlinear tetrahedron map constructed by Dimakis and
M\"uller-Hoissen [arXiv:1708.05694] in a study of soliton solutions of vector
Kadomtsev-Petviashvili (KP) equations. Also, we present invariants for this
nonlinear tetrahedron map.Comment: 23 pages; v2: new results and references added, minor corrections
mad
Universality properties of N=2 and N=1 Heterotic threshold corrections
In the framework of heterotic compactifications, we consider the one-loop corrections to the gauge couplings, which were shown to be free of any infra-red ambiguity. For a class of N=2 models, namely those that are obtained by toroidal compactification to four dimensions of generic six-dimensional N=1 ground states, we give an explicit formula for the gauge-group independent thresholds, and show that these are equal within this class, as a consequence of an anomaly-cancellation constraint in six dimensions. We further use these results to compute the (N=2)-sector contributions to the thresholds of N=1 orbifolds. We then consider the full contribution of N=1 sectors to the gauge couplings which generically are expected to modify the unification picture. We compute such corrections in several models. We finally comment on the effect of such contributions to the issue of string unification
String Threshold corrections in models with spondaneously broken supersymmetry
We analyse a class of four-dimensional heterotic ground states with N=2 space-time supersymmetry. From the ten-dimensional perspective, such models can be viewed as compactifications on a six-dimensional manifold with SU(2) holonomy, which is locally but not globally K3 x T^2. The maximal N=4 supersymmetry is spontaneously broken to N=2. The masses of the two massive gravitinos depend on the (T,U) moduli of T^2. We evaluate the one-loop threshold corrections of gauge and R^2 couplings and we show that they fall in several universality classes, in contrast to what happens in usual K3 x T^2 compactifications, where the N=4 supersymmetry is explicitly broken to N=2, and where a single universality class appears. These universality properties follow from the structure of the elliptic genus. The behaviour of the threshold corrections as functions of the moduli is analysed in detail: it is singular across several rational lines of the T^2 moduli because of the appearance of extra massless states, and suffers only from logarithmic singularities at large radii. These features differ substantially from the ordinary K3 x T^2 compactifications, thereby reflecting the existence of spontaneously-broken N=4 supersymmetry. Although our results are valid in the general framework defined above, we also point out several properties, specific to orbifold constructions, which might be of phenomenological relevance
Expected spectral characteristics of (101955) Bennu and (162173) Ryugu, targets of the OSIRIS-REx and Hayabusa2 missions
NASA's OSIRIS-REx and JAXA's Hayabusa2 sample-return missions are currently
on their way to encounter primitive near-Earth asteroids (101955) Bennu and
(162173) Ryugu, respectively. Spectral and dynamical evidence indicates that
these near-Earth asteroids originated in the inner part of the main belt. There
are several primitive collisional families in this region, and both these
asteroids are most likely to have originated in the Polana-Eulalia family
complex. We present the expected spectral characteristics of both targets based
on our studies of our primitive collisional families in the inner belt:
Polana-Eulalia, Erigone, Sulamitis, and Clarissa. Observations were obtained in
the framework of our PRIMitive Asteroids Spectroscopic Survey (PRIMASS). Our
results are especially relevant to the planning and interpretation of in-situ
images and spectra to be obtained by the two spacecraft during the encounters
with their targets.Comment: 22 pages, 11 figures. Accepted for publication in Icarus on May 11,
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