115174783
A proof of the full Mariño-Vafa conjecture
We present a proof of the full Mari\~no-Vafa Conjecture that identifies certain open string invariants of the resolved conifold with the Chern-Simons knot invariant of the unknot, i.e. the quantum dimensions.
7531211
Mariño-Vafa formula and Hodge integral identities
Based on string duality Marino and Vafa [10] conjectured a closed formula on certain Hodge integrals in terms of representations of symmetric groups. This formula was first explicitly written down by the third author in [13] and proved in joint work [8] of the authors of the present paper. For a different approach see [12]. Our proof follows the strategy of proving both sides of the equation satisfy the same cut-and-join equation and have the same initial values. In this note we will describe a proof of the ELSV formula relating Hurwitz numbers and Hodge integrals:
115175185
Local Mirror Symmetry for the Topological Vertex
For three-partition triple Hodge integrals related to the topological vertex, we derive Eynard-Orantin type recursion relations from the cut-and-join equation. This establishes a version of local mirror symmetry for the local $C^3$ geometry with three D-branes, as proposed by Marino and Bouchard-Klemm-Marino-Pasquetti.
119556891
Fermionic gluing principle of the topological vertex
A bstractWe will establish the fermionic gluing principle of the topological vertex, that is, provided the framed ADKMV conjecture, the generating functions of the Gromov-Witten invariants of all toric Calabi-Yau threefolds are Bogoliubov transforms of the vacuum.
119303884
Integrality Properties of Variations of Mahler Measures
We propose some conjectures on the integrality properties related to the variation of Mahler measures, inspired by the results in the elliptic curve case by Rodriguez Villegas, Stienstra and Zagier.
18702885
Curve counting and instanton counting
We prove some combinatorial results required for the proof of the following conjecture of Nekrasov: The generating function of closed string invariants in local Calabi-Yau geometries obtained by appropriate fibrations of $A_N$ singularities over $P^1$ reproduce the generating function of equivariant $\hat{A}$-genera of moduli space of instants on $C^2$.
119260156
Higgs boson production in high energy proton-nucleus collisions
AbstractWe study Higgs boson production from gluon-gluon fusion at mid-rapidity in high energy proton-nucleuscollisions.Forthisprocessthe presentlystilllittle knowngluondistributionfunction h ⊥g1 (x,k ⊥ )might give a numerically relevant contribution. We show by explicite calculation that using CGC(color glass condensate) model input the result obtained in the naive k t factorization approachmatches the result obtained in the TMD factorization framework for a dilute medium. We also ver-ify the earlier ﬁnding [14] that the k t factorization formalism for Higgs production breaks down ina dense medium. In doing so we formulate a hybrid model which allows one to treat such reactionstheoretically. 1 Introduction In recent years the theoretical understanding of transverse momentum dependent (TMD) partondistributions has made tremendous progress, up to the point that their further investigation can serveas one of the motivations for a new electron-ion collider [1]. Still there are many aspects which needfurther study. An especially interesting one is relevant for Higgs-production at the LHC. In thiscase it was realized that for pp collisions in addition to the standard gluon contribution one gets acontribution proportional to a little known distribution function, usually refereed to as the distributionof linearly polarized gluons [2,3] (h
123413258
Single-spin asymmetries in inclusive DIS and in hadronic collisions
Transverse single-spin asymmetries in inclusive deep inelastic lepton-nucleon scattering can be generated through multi-photon exchange between the leptonic and the hadronic part of the process. Here we consider two-photon exchange and mainly focus on the transverse target spin asymmetry. In particular, we investigate the case where two photons couple to different quarks. Such a contribution involves a quark-photon-quark correlator in the nucleon, which has a (modeldependent) relation to the Efremov-Teryaev-Qiu-Sterman quark-gluon-quark correlator TF. Using different parameterizations for TF we compute the transverse target spin asymmetries for both a proton and a neutron target and compare the results to recent experimental data. In addition, potential implications for our general understanding of single-spin asymmetries in hard scattering processes are discussed.
67756521
Exclusive production of quarkonia as a probe of the GPD E for gluons
Exclusive quarkonium photo- and electro-production off the nucleon is studied in the framework of generalized parton distributions (GPDs). The short distance part of the process is treated at leading order in perturbative Quantum Chromodynamics. The main focus is on the GPD E for gluons. On the basis of different models for E we estimate the transverse target spin asymmetry for typical kinematics of a future Electron Ion Collider. We also explore the potential of measuring the polarization of the recoil nucleon.
122230137
Interference fragmentation functions for large invariant mass
By using collinear twist-3 factorization, we compute the interference fragmentation function H∢1 for a large invariant mass of the dihadron pair. Our calculation reveals that H∢1 and the Collins fragmentation function have a closely related underlying dynamics. By considering semi-inclusive deep-inelastic scattering, we further show that collinear factorization in terms of dihadron fragmentation functions, and collinear factorization in terms of single hadron fragmentation functions provide the same result in the region of intermediate invariant mass.
119210202
Transverse single spin asymmetry in hadronic ηc,b production
We study the transverse single spin asymmetry in $\eta_{c,b}$ production in polarized hadron collisions, employing the collinear twist-3 approach in combination with the color singlet model. Our main focus lies on the contribution from the twist-3 Efremov-Teryaev-Qiu-Sterman function. By extrapolating the derived spin dependent cross section to the small transverse momentum region, consistency between the collinear twist-3 approach and the transverse momentum dependent factorization approach is confirmed. As a byproduct of this work, we identify a term contributing to the scale evolution of tri-gluon correlations in the flavor-singlet case which was previously missed.