Results 81 to 90 of about 86,055 (204)

Braiding in Conformal Field Theory and Solvable Lattice Models

, 1993
Braiding matrices in rational conformal field theory are considered. The braiding matrices for any two block four point function are computed, in general, using the holomorphic properties of the blocks and the holomorphic properties of rational conformal
Bilal, Bilal, Blok, di Francesco, Doron Gepner, Douglas, Fendley, Fendley, Fuchs, Fuchs, Fuchs, Fuchs, Gepner, Gepner, Jimbo, Jürgen Fuchs, Kostov, Pasquier, Rehren, Tsuchiya, Wenzl, Wenzl   +21 more
core   +1 more source

A fractional residue theorem and its applications in calculating real integrals

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley   +1 more source

On the volume growth of K\"ahler manifolds with nonnegative bisectional curvature [PDF]

, 2015
Let $M$ be a complete K\"ahler manifold with nonnegative bisectional curvature. Suppose the universal cover does not split and $M$ admits a nonconstant holomorphic function with polynomial growth, we prove $M$ must be of maximal volume growth.
Liu, Gang
core  

Two-Loop Superstrings VII, Cohomology of Chiral Amplitudes

, 2007
The relation between superholomorphicity and holomorphicity of chiral superstring N-point amplitudes for NS bosons on a genus 2 Riemann surface is shown to be encoded in a hybrid cohomology theory, incorporating elements of both de Rham and Dolbeault ...
Alvarez-Gaumé, Atick, Atick, Atick, Basu, Basu, Berkovits, Berkovits, Berkovits, Berkovits, Berkovits, Berkovits, Bern, Bern, Brink, Cacciatori, Cachazo, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D'Hoker, D.H. Phong, Deser, Di Vecchia, Eric D'Hoker, Friedan, Gava, Giddings, Gliozzi, Green, Green, Green, Green, Howe, Iengo, Iengo, Iengo, La, Lechtenfeld, Lechtenfeld, Lechtenfeld, Lechtenfeld, Mandelstam, Mandelstam, Martinec, Martinec, Matone, Moore, Moore, Moore, Morozov, Morozov, Neveu, Neveu, Obers, Parke, Pioline, Polyakov, Ramond, Russo, Seiberg, Verlinde, Verlinde, Verlinde, Volpato, Witten, Wu, Yasuda, Yasuda, Yasuda, Zheng, Zheng, Zheng, Zhu   +87 more
core   +1 more source

The second moment of sums of Hecke eigenvalues II

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let f$f$ be a holomorphic Hecke cusp form of weight k$k$ for SL2(Z)$\mathrm{SL}_2(\mathbb {Z})$, and let (λf(n))n⩾1$(\lambda _f(n))_{n\geqslant 1}$ denote its sequence of normalised Hecke eigenvalues. We compute the first and second moments of the sums S(x,f)=∑x⩽n⩽2xλf(n)$\mathcal {S}(x,f)=\sum _{x\leqslant n\leqslant 2x} \lambda _f(n)$, on ...
Ned Carmichael
wiley   +1 more source

Relations between elliptic modular graphs

Journal of High Energy Physics, 2020
We consider certain elliptic modular graph functions that arise in the asymptotic expansion around the non-separating node of genus two string invariants that appear in the integrand of the D 8ℛ4 interaction in the low momentum expansion of the four ...
Anirban Basu
doaj   +1 more source

A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley   +1 more source

Multiply Universal Holomorphic Functions

Journal of Approximation Theory, 1997
The problem of the existence of so-called ``universal functions'' (compare W. Luh, Holomorphic monsters. [J. Approximation Theory 53, No. 2, 128-144 (1988; Zbl 0669.30020)] for the notations and the history of the topic) is generalized. The main result is the following: Let \({\mathcal O} \subset\mathbb{C}\), \({\mathcal O} \neq\mathbb{C}\), be an open
openaire   +1 more source

Modular constraints on conformal field theories with currents

Journal of High Energy Physics, 2017
We study constraints coming from the modular invariance of the partition function of two-dimensional conformal field theories. We constrain the spectrum of CFTs in the presence of holomorphic and anti-holomorphic currents using the semi-definite ...
Jin-Beom Bae, Sungjay Lee, Jaewon Song
doaj   +1 more source

Some properties of a class of holomorphic functions associated with tangent function

Demonstratio Mathematica
In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point
Khan Muhammad Ghaffar, Mashwani Wali Khan, Salleh Zabidin, Tchier Fairouz, Khan Bilal, Malik Sarfraz Nawaz   +5 more
doaj   +1 more source