id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
|---|---|---|---|---|---|---|
hep-th/9401039 | A Study of Fermions Coupled to Gauge and Gravitational Fields on a
Cylinder | Fermions on a cylinder coupled to gravity and gauge fields are examined by
studying the geometric action associated with the symmetries of such a system.
The gauge coupling constant is shown to be constrained and the effect of
gravity on the masses is discussed. Furthermore, we introduce a new
gravitational theory whic... | 1994-01-11 | 2009-10-28 | [
"hep-th"
] | R.P. Lano and V.G.J. Rodgers |
hep-th/9401042 | Construction of Field Algebras with Quantum Symmetry from Local
Observables | It has been discussed earlier that ( weak quasi-) quantum groups allow for
conventional interpretation as internal symmetries in local quantum theory.
From general arguments and explicit examples their consistency with (braid-)
statistics and locality was established. This work addresses to the
reconstruction of quantu... | 1994-01-11 | 2009-10-28 | [
"hep-th"
] | Volker Schomerus |
hep-th/9401043 | 2(2S+1)-Component Model and its Connection with Other Field Theories | This talk presents the review of forgotten but attractive formalism proposed
by Joos and Weinberg in the sixties for description of high-spin particles.
Problems raised in the recent works [Ahluwalia {\it et al.}] are discussed. New
results obtained by the author in his preceding papers ["Hadronic J.", 1993, v.
16, No.... | 1994-01-11 | 2008-02-03 | [
"hep-th",
"hep-ph"
] | Valeri V. Dvoeglazov |
hep-th/9401040 | Low Energy Skyrmion-Skyrmion Scattering | We study the scattering of two Skyrmions at low energy and large separation.
We use the method proposed by Manton for truncating the degrees of freedom of
the system from infinite to a manageable finite number. This corresponds to
identifying the manifold consisting of the union of the low energy critical
points of the... | 1994-01-11 | 2009-10-28 | [
"hep-th"
] | T. Gisiger and M. B. Paranjape |
hep-th/9401041 | Strings and Two-dimensional QCD for Finite N | Minor corrections made and several references changed. | 1994-01-11 | 2010-11-01 | [
"hep-th"
] | J. Baez and W. Taylor |
hep-th/9401036 | The Geodesic Motion in Taub-Nut Spinning Space | The geodesic motion of pseudo-classical spinning particles in the Euclidean
Taub-NUT space is analysed. The generalized Killing equations for spinning
space are investigated and the constants of motion are derived in terms of the
solutions of these equations. A simple exact solution, corresponding to
trajectories lying... | 1994-01-10 | 2010-04-06 | [
"hep-th",
"gr-qc"
] | Mihai Visinescu |
hep-th/9401034 | Aspects of $\sigma$ Models | Some aspects and applications of $ \sigma$-models in particle and condensed
matter physics are briefly reviewed. | 1994-01-10 | 2007-05-23 | [
"hep-th"
] | S. Randjbar-Daemi and J. Strathdee |
hep-th/9401038 | An Exact Solution to O(26) Sigma Model coupled to 2-D Gravity | By a mapping to the bosonic string theory, we present an exact solution to
the O(26) sigma model coupled to 2-D quantum gravity. In particular, we obtain
the exact gravitational dressing to the various matter operators classified by
the irreducible representations of O(26). We also derive the exact form of the
gravitat... | 1994-01-10 | 2009-10-28 | [
"hep-th"
] | Weidong Zhao |
hep-th/9401035 | Zero Modes of First Class Secondary Constraints in Gauge Theories | Zero modes of first class secondary constraints in the two-dimensional
electrodynamics and the four-dimensional SU(2) Yang-Mills theory are considered
by the method of reduced phase space quantization in the context of the problem
of a stable vacuum. We compare the description of these modes in the Dirac
extended metho... | 1994-01-10 | 2007-05-23 | [
"hep-th"
] | A. Khvedelidze, V. Pervushin |
hep-th/9401033 | Fermion Back-Reaction and the Sphaleron | Using a simple model, a new sphaleron solution which incorporates finite
fermionic density effects is obtained. The main result is that the height of
the potential barrier (sphaleron energy) decreases as the fermion density
increases. This suggests that the rate of sphaleron-induced transitions
increases when the fermi... | 1994-01-10 | 2009-12-30 | [
"hep-th"
] | Andre Roberge |
hep-th/9401037 | Hamiltonian Mechanics in 1+2 Dimensions | A complete list of all transitive symplectic manifolds of the Poincar\'e and
Galilei group in 1+2 dimensions is given. | 1994-01-10 | 2007-05-23 | [
"hep-th"
] | D. R. Grigore |
hep-th/9401031 | Area-preserving structure of 2d-gravity | The effective action for 2d-gravity with manifest area-preserving invariance
is obtained in the flat and in the general gravitational background. The
cocyclic properties of the last action are proved, and generalizations on
higher dimensions are discussed. | 1994-01-10 | 2009-10-28 | [
"hep-th"
] | D.R. Karakhanyan, R.P. Manvelyan, R.L. Mkrtchyan (Yerevan Physics
Institute) |
hep-th/9401032 | Geometrical action for $w_\infty$ algebra as a reduced symplectic
Chern-Simons theory | The geometric action on a certain orbit of the group of the area-preserving
diffeomorphisms is considered, and it is shown, that it coincides with a
special reduction of the three-dimensional Chern-Simons theory, under which
group and space coordinates are identified. | 1994-01-10 | 2009-10-28 | [
"hep-th"
] | R.P. Manvelyan and R.L. Mkrtchyan (Yerevan Physics Institute) |
hep-th/9401030 | Topological Landau-Ginzburg Formulation and Integrable Structure of 2d
String Theory | We construct a topological Landau-Ginzburg formulation of the two-dimensional
string at the self-dual radius. The model is an analytic continuation of the
$A_{k+1}$ minimal model to $k=-3$. We compute the superpotential and calculate
tachyon correlators in the Landau-Ginzburg framework. The results are in
complete agre... | 1994-01-10 | 2009-09-29 | [
"hep-th"
] | A. Hanany, Y. Oz, and M.R. Plesser |
hep-th/9401026 | Infinite dimensional geometry and quantum field theory of strings. III.
Infinite dimensional W-geometry of a second quantized free string | The present paper is devoted to various objects of the infinite dimensional
W-geometry of a second quantized free string. Our purpose is to include the
W-symmetries into the general infinite dimensional geometrical picture related
to the quantum field theory of strings, which was described in the first part
of the pape... | 1994-01-07 | 2009-10-28 | [
"hep-th",
"alg-geom",
"funct-an",
"math.AG",
"math.FA"
] | D.Juriev |
hep-th/9401028 | Hydden Symmetry approach to the Extended Symmetries in Nonabelian Free
Fermionic and WZNW Models | Higher spin extensions of nonabelian gauge symmetries for both free fermionic
model and WZNW model are considered on a classical level. It is characteristic
property of the WZNW model that the higher spin currents which correspond to
linear realized higher spin extended affine algebra do not form an invariant
space. An... | 1994-01-07 | 2008-02-03 | [
"hep-th"
] | Raiko P. Zaikov |
hep-th/9401029 | Landau-Ginzburg Orbifolds, Mirror Symmetry and the Elliptic Genus | We compute the elliptic genus for arbitrary two dimensional $N=2$
Landau-Ginzburg orbifolds. This is used to search for possible mirror pairs of
such models. We show that if two Landau-Ginzburg models are conjugate to each
other in a certain sense, then to every orbifold of the first theory
corresponds an orbifold of t... | 1994-01-07 | 2009-10-28 | [
"hep-th"
] | P. Berglund and M. Henningson |
hep-th/9401027 | Higher-Dimensional Loop Algebras, Non-Abelian Extensions and p-Branes | We postulate a new type of operator algebra with a non-abelian extension.
This algebra generalizes the Kac--Moody algebra in string theory and the
Mickelsson--Faddeev algebra in three dimensions to higher-dimensional extended
objects ($p$-branes). We then construct new BRST operators, covariant
derivatives and curvatur... | 1994-01-07 | 2009-10-28 | [
"hep-th"
] | M. Cederwall, G. Ferretti, B.E.W. Nilsson and A. Westerberg |
hep-th/9401025 | Exact Duality in String Effective Action | We formulate sigma-model duality transformations in terms of spin connection.
This allows to investigate the symmetry of the string action including higher
order $\alpha'$ corrections. An important feature of the new duality
transformations is a simple homogeneous transformation rule of the spin
connection (with torsio... | 1994-01-07 | 2008-11-26 | [
"hep-th"
] | Eric Bergshoeff, Ingeborg Entrop and Renata Kallosh |
hep-th/9401012 | Flavor-Dependence and Higher Orders of Gauge-Independent Solutions in
Strong Coupling Gauge Theory | The fermion flavor $N_f$ dependence of non-perturbative solutions in the
strong coupling phase of the gauge theory is reexamined based on the
interrelation between the inversion method and the Schwinger-Dyson equation
approach. Especially we point out that the apparent discrepancy on the value of
the critical coupling ... | 1994-01-06 | 2009-10-28 | [
"hep-th"
] | Kei-Ichi Kondo, Takuya Iizuka, Eiji Tanaka and Toru Ebihara |
hep-th/9401014 | Classical Open String Models in 4-Dim Minkowski Spacetime | Classical bosonic open string models in fourdimensional Minkowski spacetime
are discussed. A special attention is paid to the choice of edge conditions,
which can follow consistently from the action principle. We consider
lagrangians that can depend on second order derivatives of worldsheet
coordinates. A revised inter... | 1994-01-06 | 2010-11-01 | [
"hep-th"
] | P.Wegrzyn |
hep-th/9401021 | Elliptic Calogero-Moser system from two dimensional current algebra | We show that elliptic Calogero-Moser system and its Lax operator found by
Krichever can be obtained by Hamiltonian reduction from the integrable
Hamiltonian system on the cotangent bundle to the central extension of the
algebra of SL(N,C) currents.Elliptic deformation of Yang-Mills theory is
presented. | 1994-01-06 | 2007-05-23 | [
"hep-th"
] | Alexander Gorsky and Nikita Nekrasov |
hep-th/9401018 | Quantum Spaces: Notes and Comments on a Lecture by S. L. Woronowicz | These notes are based on a lecture given by S. L. Woronowicz at the Institute
of Mathematics, Polish Academy of Sciences. | 1994-01-06 | 2007-05-23 | [
"hep-th"
] | R. J. Budzynski and W. Kondracki |
hep-th/9401022 | Solutions of matrix models in the DIII generator ensemble | In this paper we solve two matrix models, using standard and new techniques.
The two models are represented by special form of antisymmetric matrices and
are classified in the DIII generator ensemble. It is shown that, in the double
scaling limit, their free energy has the same behavior as previous models
describing or... | 1994-01-06 | 2015-06-26 | [
"hep-th"
] | Harold Roussel |
hep-th/9401017 | Relativistic Calogero-Moser model as gauged WZW theory | We study quantum intergrable systems of interacting particles from the point
of view, proposed in our previous paper. We obtain Calogero-Moser and
Sutherland systems as well their Ruijsenaars relativistic generalization by a
Hamiltonian reduction of integrable systems on the cotangent bundles over
semi-simple Lie algeb... | 1994-01-06 | 2009-10-28 | [
"hep-th"
] | Alexander Gorsky and Nikita Nekrasov |
hep-th/9401024 | On the Hamiltonian Approach and Path Integration for a Point Particle
Minimally Coupled to Electromagnetism | We {\em derive} the exact configuration space path integral, together with
the way how to evaluate it, from the Hamiltonian approach for any quantum
mechanical system in flat spacetime whose Hamiltonian has at most two momentum
operators. Starting from a given, covariant or non-covariant, Hamiltonian, we
go from the ti... | 1994-01-06 | 2007-05-23 | [
"hep-th"
] | K. Skenderis and P. van Nieuwenhuizen |
hep-th/9401020 | Instantons for Vacuum Decay at Finite Temperature in the Thin Wall Limit | In $N+1$ dimensions, false vacuum decay at zero temperature is dominated by
the $O(N+1)$ symmetric instanton, a sphere of radius $R_0$, whereas at
temperatures $T>>R_0^{-1}$, the decay is dominated by a `cylindrical' (static)
$O(N)$ symmetric instanton. We study the transition between these two regimes
in the thin wall... | 1994-01-06 | 2009-10-28 | [
"hep-th",
"hep-ph"
] | Jaume Garriga |
hep-th/9401019 | Quantum Principal Fiber Bundles: Topological Aspects | We introduce the notion of locally trivial quantum principal bundles. The
base space and total space are compact quantum spaces (unital
$C^{\star}$-algebras), the structure group is a compact matrix quantum group.
We prove that a quantum bundle admits sections if and only if it is trivial.
Using a quantum version of \v... | 1994-01-06 | 2007-05-23 | [
"hep-th"
] | R. J. Budzynski and W. Kondracki |
hep-th/9401016 | The universal Vassiliev-Kontsevich invariant for framed oriented links | We give a generalization of the Reshetikhin-Turaev functor for tangles to get
a combinatorial formula for the universal Vassiliev-Kontsevich invariant of
framed oriented links which is coincident with the Kontsevich integral. The
universal Vassiliev-Kontsevich invariant is constructed using the Drinfeld
associator. We ... | 1994-01-06 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Le Tu Quoc Thang and Jun Murakami |
hep-th/9401023 | Topological field theories, string backgrounds and homotopy algebras | String backgrounds are described as purely geometric objects related to
moduli spaces of Riemann surfaces, in the spirit of Segal's definition of a
conformal field theory. Relations with conformal field theory, topological
field theory and topological gravity are studied. For each field theory, an
algebraic counterpart... | 1994-01-06 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Alexander A. Voronov |
hep-th/9401013 | Zero Mode Divergence Problem in String Theory | For $2D$ string theory, the perturbative $S$-matrices are not well-defined
due to a zero mode divergence. Although there exist formal procedures to make
the integral convergent, their physical meanings are unclear. We describe a
method to obtain finite $S$-matrices physically to justify the formal schemes.
The scheme u... | 1994-01-06 | 2015-06-26 | [
"hep-th"
] | Makoto Natsuume |
hep-th/9401015 | Conformal Foliations and Constraint Quantization | We show that the Classical Constraint Algebra of a Parametrized Relativistic
Gauge System induces a natural structure of Conformal Foliation on a
Transversal Gauge. Using the theory of Conformal Foliations, we provide a
natural Factor Ordering for the Quantum Operators associated to the Canonical
Quantization of such G... | 1994-01-06 | 2015-06-26 | [
"hep-th"
] | J.N. Tavares |
hep-th/9401011 | A new constraints separation for the original D=10 massless
superparticle | We study the problem of covariant separation between first and second class
constraints for the $D=10$ Brink-Schwarz superparticle. Opposite to the
supersymmetric light-cone frame separation, we show here that there is a
Lorentz covariant way to identify the second class constraints such that,
however, supersymmetry is... | 1994-01-05 | 2016-09-06 | [
"hep-th"
] | D. Dalmazi |
hep-th/9401009 | Translations between Quaternion and Complex Quantum Mechanics | While in general there is no one-to-one correspondence between complex and
quaternion quantum mechanics (QQM), there exists at least one version of QQM in
which a {\em partial} set of {\em translations} may be made. We define these
translations and use the rules to obtain rapid quaternion counterparts (some of
which ar... | 1994-01-05 | 2017-03-08 | [
"hep-th"
] | S. De Leo and P. Rotelli |
hep-th/9401008 | Boundary S-matrix of the $O(N)$-symmetric Non-linear Sigma Model | We conjecture that the $O(N)$-symmetric non-linear sigma model in the
semi-infinite $(1+1)$-dimensional space is ``integrable'' with respect to the
``free'' and the ``fixed'' boundary conditions. We then derive, for both cases,
the boundary S-matrix for the reflection of massive particles of this model off
the boundary... | 1994-01-05 | 2009-10-28 | [
"hep-th"
] | Subir Ghoshal |
hep-th/9401010 | Quantization of string theory for $c \leq 1$ | We consider the canonical quantization scheme for $c \leq 1$ ($(p,q)$ -)
string theories and compare it with what is known from matrix model approach.
We derive explicitly a trivial ($\equiv $ topological) solution. We discuss a
``dressing" operator which in principle allows one to obtain a non-trivial
solution, but an... | 1994-01-05 | 2007-05-23 | [
"hep-th"
] | S. Kharchev, A.Marshakov |
hep-th/9401006 | Currents, Charges, and Canonical Structure of Pseudodual Chiral Models | We discuss the pseudodual chiral model to illustrate a class of
two-dimensional theories which have an infinite number of conservation laws but
allow particle production, at variance with naive expectations. We describe the
symmetries of the pseudodual model, both local and nonlocal, as transmutations
of the symmetries... | 1994-01-04 | 2009-10-02 | [
"hep-th"
] | T. Curtright and C. Zachos |
hep-th/9401007 | The Multivalued Free-Field Maps of Liouville and Toda Gravities | Liouville and Toda gravity theories with non-vanishing interaction potentials
have spectra obtained by dividing the free-field spectra for these cases by the
Weyl group of the corresponding $A_1$ or $A_2$ Lie algebra. We study the
canonical transformations between interacting and free fields using the
technique of inte... | 1994-01-04 | 2009-10-07 | [
"hep-th"
] | A. Anderson, B.E.W. Nilsson, C.N. Pope and K.S. Stelle |
hep-th/9401005 | Q-Exact Actions for BF Theories | The actions for all classical (and consequently quantum) $BF$ theories on
$n$-manifolds is proven to be given by anti-commutators of hermitian,
nilpotent, scalar fermionic charges with Grassmann-odd functionals. In order to
show this, the space of fields in the theory must be enlarged to include ``mass
terms'' for new,... | 1994-01-04 | 2015-06-26 | [
"hep-th"
] | R. Brooks and C. Lucchesi |
hep-th/9401004 | Vertex Operators are Not Closeable | We prove the uncloseability of the free vertex operators used in conformal
field theory for the BRST--construction of primary fields. Our proof includes
minimal models as well as WZNW--models. | 1994-01-04 | 2015-06-26 | [
"hep-th"
] | Wolfram Boenkost |
hep-th/9401001 | Remarks on the Collective Quantization of the SU(2) Skyrme Model | We point out the question of ordering momentum operator in the canonical
\break quantization of the SU(2) Skyrme Model. Thus, we suggest a new
definition for the momentum operator that may solve the infrared problem that
appears when we try to minimize the Quantum Hamiltonian. | 1994-01-03 | 2015-06-26 | [
"hep-th"
] | Jorge Ananias Neto |
hep-th/9401003 | Local heterotic geometry in holomorphic coordinates | In the same spirit as done for N=2 and N=4 supersymmetric non-linear $\si$
models in 2 space-time dimensions by Zumino and Alvarez- Gaum\'e and Freedman,
we analyse the (2,0) and (4,0) heterotic geometry in holomorphic coordinates.
We study the properties of the torsion tensor and give the conditions under
which (2,0) ... | 1994-01-03 | 2010-04-06 | [
"hep-th"
] | G. Bonneau, G. Valent |
hep-th/9401002 | Hard Thermal Loops, Static Response and the Composite Effective Action | First, we investigate the static non-Abelian Kubo equation. We prove that it
does not possess finite energy solutions; thereby we establish that gauge
theories do not support hard thermal solitons. A similar argument shows that
"static" instantons are absent. In addition, we note that the static equations
reproduce the... | 1994-01-03 | 2009-10-28 | [
"hep-th",
"hep-ph"
] | R. Jackiw, Q. Liu and C. Lucchesi |
hep-th/9312215 | Knot invariants from rational conformal field theories | A framework for studying knot and link invariants from any rational conformal
field theory is developed. In particular, minimal models, superconformal models
and $W_N$ models are studied. The invariants are related to the invariants
obtained from the Wess-Zumino models associated with the coset representations
of these... | 1994-01-02 | 2009-10-22 | [
"hep-th"
] | P. Ramadevi, T.R. Govindarajan and R.K. Kaul |
math/9401222 | Conformal invariance in two-dimensional percolation | The immediate purpose of the paper was neither to review the basic
definitions of percolation theory nor to rehearse the general physical notions
of universality and renormalization (an important technique to be described in
Part Two). It was rather to describe as concretely as possible, although in
hypothetical form, ... | 1994-01-01 | 2010-10-27 | [
"math-ph",
"math.MP"
] | Robert Langlands, Philippe Pouliot, Yvan Saint-Aubin |
math/9412210 | Links of prime ideals and their Rees algebras | In a previous paper we exhibited the somewhat surprising property that most
direct links of prime ideals in Gorenstein rings are equimultiple ideals with
reduction number $1$. This led to the construction of large families of
Cohen--Macaulay Rees algebras. The first goal of this paper is to extend this
result to arbitr... | 1994-12-21 | 2008-02-03 | [
"math.AC"
] | Alberto Corso and Claudia Polini |
math/9411209 | Analogs of Gr\"obner Bases in Polynomial Rings over a Ring | In this paper we will define analogs of Gr\"obner bases for $R$-subalgebras
and their ideals in a polynomial ring $R[x_1,\ldots,x_n]$ where $R$ is a
noetherian integral domain with multiplicative identity and in which we can
determine ideal membership and compute syzygies. The main goal is to present
and verify algorit... | 1994-11-18 | 2009-09-25 | [
"math.AC"
] | J. Lyn Miller |
math/9409208 | Laurent coefficients and Ext of finite graded modules | Let $R=\bigoplus_{n\ges0}R_n$ be a graded commutative ring generated over a
field $K=R_0$ by homogeneous elements $x_1,\dots,x_e$ of positive degrees
$d_1,\dots,d_e$. The Hilbert-Serre Theorem shows that for each finite graded
$R$--module $M=\bigoplus_{n\in\BZ}M_n$ the {\it Hilbert series\/}
$\sum_{n\in\BZ}(\rank_K M_n... | 1994-09-23 | 2016-09-06 | [
"math.AC"
] | Luchezar L. Avramov, Ragnar-Olaf Buchweitz, Judith D. Sally |
math/9406208 | On the Betti numbers of some Gorenstein ideals | Assume $R$ is a polynomial ring over a field and $I$ is a homogeneous
Gorenstein ideal of codimension $g\ge3$ and initial degree $p\ge2$. We prove
that the number of minimal generators $\nu(I_p)$ of $I$ that are in degree $p$
is bounded above by $\nu_0={p+g-1\choose g-1}-{p+g-3\choose g-1}$, which is the
number of mini... | 1994-06-20 | 2009-09-25 | [
"math.AC"
] | Matthew Miller and Rafael H. Villarreal |
math/9403204 | Ideals associated to two sequences and a matrix | Let $\u_{1\times n}$, $\X_{n\times n}$, and $\v_{n\times 1}$ be matrices of
indeterminates, $\Adj \X$ be the classical adjoint of $\X$, and $H(n)$ be the
ideal $I_1(\u\X)+I_1(\X\v)+I_1(\v\u-\Adj \X)$. Vasconcelos has conjectured that
$H(n)$ is a perfect Gorenstein ideal of grade $2n$. In this paper, we obtain
the minim... | 1994-03-23 | 2008-02-03 | [
"math.AC"
] | Andrew R. Kustin |
math/9411233 | Stable vector bundles on algebraic surfaces | We prove an existence result for stable vector bundles with arbitrary rank on
an algebraic surface, and determine the birational structure of certain moduli
space of stable bundles on a rational ruled surface. | 1994-11-15 | 2016-09-06 | [
"math.AG"
] | Wei-ping Li, Zhenbo Qin |
math/9410219 | Configuration spaces and the space of rational curves on a toric variety | The space of holomorphic maps from $S^2$ to a complex algebraic variety $X$,
i.e. the space of parametrized rational curves on $X$, arises in several areas
of geometry. It is a well known problem to determine an integer $n(D)$ such
that the inclusion of this space in the corresponding space of continuous maps
induces i... | 1994-10-01 | 2008-02-03 | [
"math.AG"
] | Martin A. Guest |
math/9401219 | Genera of algebraic varieties and counting of lattice points | This paper announces results on the behavior of some important algebraic and
topological invariants --- Euler characteristic, arithmetic genus, and their
intersection homology analogues; the signature, etc. --- and their associated
characteristic classes, under morphisms of projective algebraic varieties. The
formulas ... | 1994-01-01 | 2009-09-25 | [
"math.AG",
"math.CV",
"math.GT"
] | Sylvain E. Cappell, Julius L. Shaneson |
math/9401220 | The rigid analytic period mapping, Lubin-Tate space, and stable homotopy
theory | The geometry of the Lubin-Tate space of deformations of a formal group is
studied via an \'etale, rigid analytic map from the deformation space to
projective space. This leads to a simple description of the equivariant
canonical bundle of the deformation space which, in turn, yields a formula for
the dualizing complex ... | 1994-01-01 | 2023-12-04 | [
"math.AT",
"math.AG"
] | Michael J. Hopkins and Benedict H. Gross |
math/9412226 | Algebraische Darstellung transzendenter Funktionen | Ich m\"ochte in diesem Bericht algorithmische Methoden vorstellen, die im
wesentlichen in diesem Jahrzehnt Einzug in die Computeralgebra gefunden haben.
Die haupts\"achlichen Ideen gehen auf Stanley \cite{Sta} und Zeilberger
\cite{Zei1}--\cite{Zei4} zur\"uck, vgl.\ die Beschreibung \cite{Strehl1}, und
haben ihre Wurzel... | 1994-12-17 | 2009-09-25 | [
"math.CA"
] | Wolfram Koepf |
math/9412228 | REDUCE package for the indefinite and definite summation | This article describes the REDUCE package ZEILBERG implemented by Gregor
St\"olting and the author.
The REDUCE package ZEILBERG is a careful implementation of the Gosper and
Zeilberger algorithms for indefinite, and definite summation of hypergeometric
terms, respectively. An expression $a_k$ is called a {\sl hyperge... | 1994-12-17 | 2009-09-25 | [
"math.CA"
] | Wolfram Koepf |
math/9412227 | Algorithms for the indefinite and definite summation | The celebrated Zeilberger algorithm which finds holonomic recurrence
equations for definite sums of hypergeometric terms $F(n,k)$ is extended to
certain nonhypergeometric terms. An expression $F(n,k)$ is called a
hypergeometric term if both $F(n+1,k)/F(n,k)$ and $F(n,k+1)/F(n,k)$ are
rational functions. Typical example... | 1994-12-17 | 2016-09-06 | [
"math.CA"
] | Wolfram Koepf |
math/9412224 | Addition formula for 2-parameter family of Askey-Wilson polynomials | For a two parameter family of Askey-Wilson polynomials, that can be regarded
as basic analogues of the Legendre polynomials, an addition formula is derived.
The addition formula is a two-parameter extension of Koornwinder's addition
formula for the little $q$-Legendre polynomials. A corresponding product
formula is der... | 1994-12-07 | 2016-09-06 | [
"math.CA"
] | Erik Koelink |
math/9411229 | On a general q-Fourier transformation with nonsymmetric kernels | Wiener used the Poisson kernel for the Hermite polynomials to deal with the
classical Fourier transform. Askey, Atakishiyev and Suslov used this approach
to obtain a q-Fourier transform by using the continuous q-Hermite polynomials.
Rahman and Suslov extended this result by taking the Askey--Wilson polynomials,
conside... | 1994-11-29 | 2016-09-06 | [
"math.CA",
"math.QA"
] | Richard A. Askey, Mizan Rahman, Serge\u{\i} K. Suslov |
math/9411228 | Extensions and results from a method for evaluating fractional integrals | We present a method derived from Laplace transform theory that enables the
evaluation of fractional integrals. This method is adapted and extended in a
variety of ways to demonstrate its utility in deriving alternative
representations for other classes of integrals. We also use the method in
conjunction with several di... | 1994-11-28 | 2009-09-25 | [
"math.CA"
] | M. Lawrence Glasser, Victor Kowalenko |
math/9411226 | Contiguous relations, basic hypergeometric functions, and orthogonal
polynomials : III. associated continuous dual q-Hahn polynomials | Explicit solutions for the three-term recurrence satisfied by associated
continuous dual $q$-Hahn polynomials are obtained. A minimal solution is
identified and an explicit expression for the related continued fraction is
derived. The absolutely continuous component of the spectral measure is
obtained. Eleven limit cas... | 1994-11-21 | 2008-02-03 | [
"math.CA"
] | Dharma P. Gupta, Mourad E. H. Ismail, David R. Masson |
math/9411227 | Special functions associated with root systems: recent progress | In this paper I present a brief survey of the active area of Special
Functions associated with Root Systems. The article is intended for a general
mathematical audience. It will not suppose prerequisites on either special
functions or root systems. It will also skip many technical details. Some early
work in this area ... | 1994-11-21 | 2016-09-06 | [
"math.CA",
"math.QA"
] | Tom H. Koornwinder |
math/9411224 | The quadratic formula made hard: A less radical approach to solving
equations | It appears that, along with many of my friends and colleagues, I had been
brainwashed by the great and tragic lives of Abel and Galois to believe that no
general formulas are possible for roots of equations higher than quartic. This
seemed to be confirmed by the brilliant and arduous solution of the general
quintic by ... | 1994-11-16 | 2016-09-06 | [
"math.CA"
] | M. Lawrence Glasser |
math/9409230 | On Jacobi and continuous Hahn polynomials | Jacobi polynomials are mapped onto the continuous Hahn polynomials by the
Fourier transform and the orthogonality relations for the continuous Hahn
polynomials then follow from the orthogonality relations for the Jacobi
polynomials and the Parseval formula. In a special case this relation dates
back to work by Bateman ... | 1994-09-21 | 2009-09-25 | [
"math.CA"
] | Erik Koelink |
math/9409231 | Yet another basic analogue of Graf's addition formula | An identity involving basic Bessel functions and Al-Salam--Chihara
polynomials is proved for which we recover Graf's addition formula for the
Bessel function as the base $q$ tends to $1$. The corresponding product formula
is derived. Some known identities for Jackson's $q$-Bessel functions are
obtained as limiting case... | 1994-09-21 | 2016-09-06 | [
"math.CA"
] | Erik Koelink |
math/9409229 | The last of the hypergeometric continued fractions | A contiguous relation for complementry pairs of very well poised balanced
${}_{10}\phi_9$ basic hypergeometric functions is used to derive an explict
expression for the associated continued fraction. This generalizes the
continued fraction results associated with both Ramanujan's Entry 40 and
Askey-Wilson polynomials w... | 1994-09-12 | 2016-09-06 | [
"math.CA"
] | David R. Masson |
math/9409228 | Painlev\'e equations for semi-classical recurrence coefficients | The title says it all. | 1994-09-06 | 2008-02-03 | [
"math.CA"
] | Alphonse P. Magnus |
math/9409227 | Numerical computation of real or complex elliptic integrals | Algorithms for numerical computation of symmetric elliptic integrals of all
three kinds are improved in several ways and extended to complex values of the
variables (with some restrictions in the case of the integral of the third
kind). Numerical check values, consistency checks, and relations to Legendre's
integrals a... | 1994-09-06 | 2015-06-26 | [
"math.CA"
] | Bille C. Carlson |
math/9408210 | Fractional integration for Laguerre expansions | The aim of this note is to provide a fractional integration theorem in the
framework of Laguerre expansions. The method of proof consists of establishing
an asymptotic estimate for the involved kernel and then applying a method of
Hedberg \cite{pro}. We combine this result with sufficient $(p,p)$ multiplier
criteria of... | 1994-08-31 | 2008-02-03 | [
"math.CA"
] | George Gasper Jr, Krzysztof Stempak, Walter Trebels |
math/9408211 | On a restriction problem of de Leeuw type for Laguerre multipliers | In 1965 K. de Leeuw \cite{deleeuw} proved among other things in the Fourier
transform setting: {\it If a continuous function $m(\xi _1, \ldots ,\xi _n)$ on
${\bf R}^n$ generates a bounded transformation on $L^p({\bf R}^n),\; 1\le p \le
\infty ,$ then its trace $\tilde{m}(\xi _1, \ldots ,\xi _m)=m(\xi _1, \ldots
,\xi _m... | 1994-08-31 | 2016-09-06 | [
"math.CA"
] | George Gasper Jr, Walter Trebels |
math/9408209 | The Askey-Wilson polynomials and q-Sturm-Lioville problems | We find the adjoint of the Askey-Wilson divided difference operator with
respect to the inner procuct on L^2(-1,1,(1-x^2)^-1/2 dx) defined as a Cauchy
principle value and show that the Askey-Wilson polynomials are solutions of a
q-Sturm-Liouville problem. From these facts we deduce various properties of the
polynomials... | 1994-08-24 | 2016-09-06 | [
"math.CA"
] | B. Malcolm Brown, William Desmond Evans, Mourad E. H. Ismail |
math/9407213 | Generalized orthogonality and continued fractions | The connection between continued fractions and orthogonality which is
familiar for $J$-fractions and $T$-fractions is extended to what we call
$R$-fractions of type I and II. These continued fractions are associated with
recurrence relations that correspond to multipoint rational interpolants. A
Favard type theorem is ... | 1994-07-20 | 2008-02-03 | [
"math.CA"
] | Mourad E. H. Ismail, David R. Masson |
math/9406227 | Ladder operators for Szeg\H{o} polynomials and related biorthogonal
rational functions | We find the raising and lowering operators for orthogonal polynomials on the
unit circle introduced by Szeg\H{o} and for their four parameter generalization
to ${}_4\phi_3$ biorthogonal rational functions on the unit circle. | 1994-06-30 | 2016-09-06 | [
"math.CA"
] | Mourad E. H. Ismail, Mizan Rahman |
math/9406226 | Combinatorial orthogonal expansions | The linearization coefficients for a set of orthogonal polynomials are given
explicitly as a weighted sum of combinatorial objects. Positivity theorems of
Askey and Szwarc are corollaries of these expansions. | 1994-06-29 | 2008-02-03 | [
"math.CA",
"math.CO"
] | Anne de M\'edicis, Dennis W. Stanton |
math/9406222 | A note on some peculiar nonlinear extremal phenomena of the Chebyshev
polynomials | We consider the problem of maximizing the sum of squares of the leading
coefficients of polynomials $P_{i_1}(x),\ldots ,P_{i_m}(x)$ (where $P_j(x)$ is
a polynomial of degree $j$) under the restriction that the sup-norm of
$\sum_{j=1}^m P_{i_j}^2(x)$ is bounded on the interval $[-b,b]$ ($b>0$). A
complete solution of th... | 1994-06-07 | 2009-09-25 | [
"math.CA"
] | Holger Dette |
math/9406223 | New bounds for Hahn and Krawichouk polynomials | For the Hahn and Krawtchouk polynomials orthogonal on the set $\{0,
\ldots,N\}$ new identities for the sum of squares are derived which generalize
the trigonometric identity for the Chebyshev polynomials of the first and
second kind. These results are applied in order to obtain conditions (on the
degree of the polynomi... | 1994-06-07 | 2009-09-25 | [
"math.CA"
] | Holger Dette |
math/9406224 | Some new asymptotic properties for the zeros of Jacobi, Laguerre and
Hermite polynomials | For the generalized Jacobi, Laguerre and Hermite polynomials $P_n^{(\alpha_n,
\beta_n)} (x), L_n^{(\alpha_n)} (x),$\break $H_n^{(\gamma_n)} (x)$ the limit
distributions of the zeros are found, when the sequences $\alpha_n$ or
$\beta_n$ tend to infinity with a larger order than $n$. The derivation uses
special propertie... | 1994-06-07 | 2016-09-06 | [
"math.CA"
] | Holger Dette, William J. Studden |
math/9406221 | Characterizations of generalized Hermite and sieved ultraspherical
polynomials | A new characterization of the generalized Hermite polynomials and of the
orthogonal polynomials with respect to the maesure $|x|^\g (1-x^2)^{\a-1/2}dx$
is derived which is based on a "reversing property" of the coefficients in the
corresponding recurrence formulas and does not use the representation in terms
of general... | 1994-06-06 | 2008-02-03 | [
"math.CA"
] | Holger Dette |
math/9405213 | Q-Hermite polynomials and classical orthogonal polynomials | We use generating functions to express orthogonality relations in the form of
$q$-beta integrals. The integrand of such a $q$-beta integral is then used as a
weight function for a new set of orthogonal or biorthogonal | 1994-05-24 | 2016-09-06 | [
"math.CA"
] | Christian Berg, Mourad E. H. Ismail |
math/9404224 | Explicit representations of biorthogonal polynomials | Given a parametrised weight function $\omega(x,\mu)$ such that the quotients
of its consecutive moments are M\"obius maps, it is possible to express the
underlying biorthogonal polynomials in a closed form \cite{IN2}. In the present
paper we address ourselves to two related issues. Firstly, we demonstrate that,
subject... | 1994-04-22 | 2015-06-26 | [
"math.CA"
] | Arieh Iserles, Syvert Paul N{\o}rsett |
math/9404223 | Biorthogonal polynomials and zero-mapping transformations | The authors have presented in \cite{IN2} a technique to generate
transformations $\cal T$ of the set ${\Bbb P}_n$ of $n$th degree polynomials to
itself such that if $p\in{\Bbb P}_n$ has all its zeros in $(c,d)$ then ${\cal
T}\{p\}$ has all its zeros in $(a,b)$, where $(a,b)$ and $(c,d)$ are given real
intervals. The te... | 1994-04-22 | 2016-09-06 | [
"math.CA"
] | Arieh Iserles, Syvert Paul N{\o}rsett |
math/9404219 | A package on formal power series | Formal Laurent-Puiseux series are important in many branches of mathematics. This paper presents a {\it Mathematica} implementation of algorithms developed by the author for converting between certain classes of functions and their equivalent representing series. The package {\tt PowerSeries} handles functions of ratio... | 1994-04-19 | 2025-10-20 | [
"math.CA",
"cs.NA",
"math.NA"
] | Wolfram Koepf |
math/9404221 | Bounded nonvanishing functions and Bateman functions | We consider the family B-tilde of bounded nonvanishing analytic functions
f(z) = a_0 + a_1 z + a_2 z^2 + ...
in the unit disk. The coefficient problem had been extensively investigated,
and it is known that |a_n| <= 2/e for n=1,2,3, and 4. That this inequality may
hold for n in N, is know as the Kry\.z conjecture. ... | 1994-04-19 | 2016-09-06 | [
"math.CA",
"math.CV"
] | Wolfram Koepf, Dieter Schmersau |
math/9404218 | Formal power series | In this article we will describe the \Maple\ implementation of an algorithm
presented in~\cite{Koe92}--\cite{Koeortho} which computes an {\em exact\/}
formal power series (FPS) of a given function. This procedure will enable the
user to reproduce most of the results of the extensive bibliography on
series~\cite{Han}. W... | 1994-04-19 | 2009-09-25 | [
"math.CA"
] | Dominik Gruntz, Wolfram Koepf |
math/9404220 | Algorithmic work with orthogonal polynomials and special functions | In this article we present a method to implement orthogonal polynomials and
many other special functions in Computer Algebra systems enabling the user to
work with those functions appropriately, and in particular to verify different
types of identities for those functions. Some of these identities like
differential equ... | 1994-04-19 | 2016-09-06 | [
"math.CA"
] | Wolfram Koepf |
math/9404222 | Spaces of functions satisfying simple differential equations | In \cite{Koe92}--\cite{Koe93c} the first author published an algorithm for
the conversion of analytic functions for which derivative rules are given into
their representing power series $\sum\limits_{k=0}^{\infty}a_{k}z^{k}$ at the
origin and vice versa, implementations of which exist in {\sc Mathematica}
\cite{Wol}, (... | 1994-04-19 | 2009-09-25 | [
"math.CA"
] | Wolfram Koepf, Dieter Schmersau |
math/9404217 | A q-analogue of Graf's addition formula for the Hahn-Exton q-Bessel
function | An addition and product formula for the Hahn-Exton $q$-Bessel function,
previously obtained by use of a quantum group theoretic interpretation, are
proved analytically. A (formal) limit transition to the Graf addition formula
and corresponding product formula for the Bessel function is given. | 1994-04-11 | 2008-02-03 | [
"math.CA",
"math.QA"
] | Erik Koelink, Ren\'e F. Swarttouw |
math/9403216 | q-Special functions, a tutorial | A tutorial introduction is given to q-special functions and to q-analogues of
the classical orthogonal polynomials, up to the level of Askey-Wilson
polynomials. | 1994-03-21 | 2013-10-15 | [
"math.CA"
] | Tom H. Koornwinder |
math/9403214 | Asymptotics for the simplest generalized Jacobi polynomials recurrence
coefficients from Freud's equations: numerical explorations. | Generalized Jacobi polynomials are orthogonal polynomials related to a weight
function which is smooth and positive on the whole interval of orthogonality up
to a finite number of points, where algebraic singularities occur. The
influence of these singular points on the asymptotic behaviour of the
recurrence coefficien... | 1994-03-18 | 2016-09-06 | [
"math.CA"
] | Alphonse P. Magnus |
math/9403213 | Relative asymptotics for polynomials orthogonal with respect to a
discrete Sobolev inner product | We investigate the asymptotic properties of orthogonal polynomials for a
class of inner products including the discrete Sobolev inner products $\langle
h,g \rangle = \int hg\, d\mu + \sum_{j=1}^m \sum_{i=0}^{N_j} M_{j,i}
h^{(i)}(c_j) g^{(i)}(c_j)$, where $\mu$ is a certain type of complex measure on
the real line, and ... | 1994-03-15 | 2016-09-06 | [
"math.CA"
] | G. L\'opez, Francisco Marcell\'an, Walter Van Assche |
math/9402212 | A characterization of the Rogers q-Hermite polynomials | In this paper we characterize the Rogers q-Hermite polynomials as the only
orthogonal polynomial set which is also ${\cal D}_q$-Appell where ${\cal D}_q $
is the Askey-Wilson finite difference operator. | 1994-02-25 | 2016-09-06 | [
"math.CA"
] | Waleed A. Al-Salam |
math/9402216 | Bracket notation for the `coefficient of' operator | When $G(z)$ is a power series in $z$, many authors now write `$[z^n] G(z)$'
for the coefficient of $z^n$ in $G(z)$, using a notation introduced by Goulden
and Jackson in [\GJ, p. 1]. More controversial, however, is the proposal of the
same authors [\GJ, p. 160] to let `$[z^n/n!] G(z)$' denote the coefficient of
$z^n/n!... | 1994-02-23 | 2008-02-03 | [
"math.CA"
] | Donald E. Knuth |
math/9401208 | Criterion for the resolvent set of nonsymmetric tridiagonal operators | We study nonsymmetric tridiagonal operators acting in the Hilbert space
$\ell^2$ and describe the spectrum and the resolvent set of such operators in
terms of a continued fraction related to the resolvent. In this way we
establish a connection between Pad\'e approximants and spectral properties of
nonsymmetric tridiago... | 1994-01-21 | 2009-09-25 | [
"math.CA"
] | A. I. Aptekarev, Valeri\u{\i} A. Kaliaguine, Walter Van Assche |
math/9401209 | Weak convergence of orthogonal polynomials | The weak convergence of orthogonal polynomials is given under conditions on
the asymptotic behaviour of the coefficients in the three-term recurrence
relation. The results generalize known results and are applied to several
systems of orthogonal polynomials, including orthogonal polynomials on a finite
set of points. | 1994-01-21 | 2016-09-06 | [
"math.CA"
] | Walter Van Assche |
math/9412223 | The degree-diameter problem for several varieties of Cayley graphs, I:
the Abelian case | We address the degree-diameter problem for Cayley graphs of Abelian groups
(Abelian graphs), both directed and undirected. The problem turns out to be
closely related to the problem of finding efficient lattice coverings of
Euclidean space by shapes such as octahedra and tetrahedra; we exploit this
relationship in both... | 1994-12-17 | 2021-02-09 | [
"math.CO"
] | Randall Dougherty, Vance Faber |
math/9412222 | Efficient pooling designs for library screening | We describe efficient methods for screening clone libraries, based on pooling
schemes which we call ``random $k$-sets designs''. In these designs, the pools
in which any clone occurs are equally likely to be any possible selection of
$k$ from the $v$ pools. The values of $k$ and $v$ can be chosen to optimize
desirable ... | 1994-12-04 | 2016-09-06 | [
"math.CO",
"q-bio"
] | William J. Bruno, Emanuel Knill, David J. Balding, D. C. Bruce, N. A.
Doggett, W. W. Sawhill, R. L. Stallings, Craig C. Whittaker, David C. Torney |
math/9411217 | Eigenfunctions on the Finite Poincar\'e Plane | Let $F$ be a finite field of odd number of elements. Let $F(\sqrt{\delta})$
be its quadratic extension. $F(\sqrt{\delta})-F$ is the so-called finite
Poincare plane. This paper relates the bases of eigenfunctions constructed by
Evans and by Kuang. The finite Poincare plane can be viewed as a Ramanujan
graph. This paper ... | 1994-11-29 | 2008-02-03 | [
"math.CO",
"math.NT"
] | Jinghua Kuang |
math/9411216 | A note on tiling with integer-sided rectangles | We show how to determine if a given simple rectilinear polygon can be tiled
with rectangles, each having an integer side. | 1994-11-28 | 2009-09-25 | [
"math.CO",
"math.MG"
] | Richard Kenyon |
math/9411215 | Tiling a rectangle with the fewest squares | We show that a square-tiling of a $p\times q$ rectangle, where $p$ and $q$
are relatively prime integers, has at least $\log_2p$ squares. If $q>p$ we
construct a square-tiling with less than $q/p+C\log p$ squares of integer size,
for some universal constant $C$. | 1994-11-28 | 2016-09-06 | [
"math.CO",
"math.MG"
] | Richard Kenyon |
math/9411223 | Algorithms for learning and teaching sets of vertices in graphs | The learning complexity of special sets of vertices in graphs is studied in
the model(s) of exact learning by (extended) equivalence and membership
queries. Polynomial-time learning algorithms are described for vertex covers,
independent sets, and dominating sets. The complexity of learning vertex sets
of fixed size is... | 1994-11-22 | 2016-09-06 | [
"math.CO"
] | Lane H. Clark, Patricia A. Evans, Michael R. Fellows, Walter D. Wallis |
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