Teichmüller spaces of string theory

Conclusion In Section 4 we saw thatP-lines which are related to Jenkis-Strebel differentials (for example, harmonicP-lines) describe a world sheet which has to be created and which has to decay. In Bugajska (1990), 1991) we obtained thatP-line satisfying theP-condition is associated to reductions of appropriate holomorphicSL(2, ) bundles (over Riemann surfaces determined by this line) to theSU(2) group. This means (Bugajska, 1990, 1991) that we have to deal withSU(2) bundles over Riemann surfaces equipped with a concrete connectionA. If we interpret this connection as a gauge field of weak interaction (which is responsible for a process of decay), then we see that these completely different approaches yield the same physical situation, namely decay and creation. Moreover, holomorphic quadratic differentials which satisfy theP-condition seem to be just Jenkins-Strebel differentials, or at least most of them (it is still an open question).     

Universal Teichmüller Space and DiffS 1/S 1

We point out that the coset space DiffS ¹/S ¹ is a dense complex submanifold of the Universal Teichmüller SpaceS of compact Riemann spaces of genus g1. A holomorphic map ofS into the inifinite dimensional Segal diskD ₁ is constructed. This is the Universal analogue of the map of Teichmüller spaces into the Siegel disk provided by the period matrix. The Kähler potential for the general homogenous metric on DiffS ¹/S ¹ is computed explicitly using the map intoD ₁. Some applications to string theory are discussed.This work was supported in part by the U.S. Department of Energy Contract No. DE-AC02-76ER13065     

Universal Teichmüller space in geometry and physics

Lipman Bers' universal Teichmüller space, classically denoted by T(1), plays a significant role in Teichmüller theory, because all the Teichmüller spaces T(G) of Fuchsian groups G can be embedded into it as complex submanifolds. Recently, T(1) has also become an object of intensive study in physics, because it is a promising geometric environment for a non-perturbative version of bosonic string theory. We provide a non-technical survey of what is currently known about the geometry of T(1) and what is conjectured about its physical meaning. Our bibliography should be rather comprehensive, but we apologize for any unjustified omissions.     

Grothendieck–Teichmüller and Batalin–Vilkovisky

It is proven that, for any affine supermanifold M equipped with a constant odd symplectic structure, there is a universal action (up to homotopy) of the Grothendieck–Teichmüller Lie algebra ${\mathfrak{grt}_1}$ on the set of quantum BV structures (i.e. solutions of the quantum master equation) on M.     

Teichmüller Groupoids,and Monodromy in Conformal Field Theory

We study monodromy representations of the Teichmüller groupoid for the moduli space of pointed compact Riemann surfaces of any genus with first-order infinitesimal structure. To calculate these representations, using arithmetic Schottky-Mumford uniformization theory we construct a real orbifold in the moduli space consisting of fusing and simple moves which gives tangential base points. For a certain vector bundle on the moduli space with projectively flat connection, we show that the monodromy of each fusing move can be expressed as a connection matrix, and give the relations to the monodromy of simple moves. Furthermore, we describe the monodromy representation associated with Tsuchiya-Ueno-Yamadas conformal field theory, and show that this representation can be expressed as the monodromy of the Wess-Zumino-Witten model.     

A TQFT from Quantum Teichmüller Theory

By using quantum Teichmüller theory, we construct a one parameter family of TQFTs on the categroid of admissible leveled shaped 3-manifolds.     

The decorated Teichmüller space of punctured surfaces

A principal ₊ ⁵ -bundle over the usual Teichmüller space of ans times punctured surface is introduced. The bundle is mapping class group equivariant and admits an invariant foliation. Several coordinatizations of the total space of the bundle are developed. There is furthermore a natural cell-decomposition of the bundle. Finally, we compute the coordinate action of the mapping class group on the total space; the total space is found to have a rich (equivariant) geometric structure. We sketch some connections with arithmetic groups, diophantine approximations, and certain problems in plane euclidean geometry. Furthermore, these investigations lead to an explicit scheme of integration over the moduli spaces, and to the construction of a universal Teichmüller space, which we hope will provide a formalism for understanding some connections between the Teichmüller theory, the KP hierarchy and the Virasoro algebra. These latter applications are pursued elsewhere.Partially supported N.S.F. grant DMS 8601162     

Non-Completeness of Zograf–Takhtajan's Kähler Metric for Teichmüller Space of Punctured Riemann Surfaces

Zograf and Takhtajan introduced a new K?hler metric on the Teichmüller space T _g , _n (n>0), in calculating the first Chern form of the Quillen metric for families of -operators. The metric is described in terms of the Eisenstein–Maass series. We prove that it is incomplete. And we also give an alternative proof of non-completeness of the Weil–Petersson metric. For that, we use the pinching family, constructed by Wolpert, whose tangent vectors are always represented by using the relative Poincaré series associated with the pinched geodesic. Received: 18 September 1995 / Accepted: 7 March 1999     

Inclusive γ(1S,2S,3S) photoproduction at the CEPC

Inclusive γ(1S,2S,3S) photoproduction at the future Circular-Electron-Positron-Collider(CEPC)is studied,using the non-relativistic quantum chromodynamics(NRQCD)factorization formalism.Including the contributions from both direct and resolved photons,we present different distributions for the γ(1S,2S,3S) production.Our results suggest that there will be considerable events,implying that well measurements of the T photoproduction can be performed to further study heavy quarkonium physics at electron-positron colliders,in addition to hadron colliders.This supplemental study is very important for clarifying the current situation regarding the heavy quarkonium production mechanism.     

QCD average hadronic multiplicity in the ψ(1S) decay

The average hadronic multiplicity in the ψ(1S) decay, via the mode ψ→ggg, is studied in the framework of Quantum Chromodynamics. We test the predictions of perturbative QCD working to \(O(\sqrt {\alpha _s } )\) in the coupling constant.     

Relation between proteins tertiary structure, tryptophan fluorescence lifetimes and tryptophan S(o)→(1)L(b) and S(o)→(1)L(a) transitions. Studies on α1-acid glycoprotein and β-lactoglobulin

We measured fluorescence lifetimes and fluorescence spectra (excitation and emission) of tryptophan residues of α₁-acid glycoprotein (three Trp residues) and β-lactoglobulin (two Trp residues) in absence and presence of 450 μM progesterone. Progesterone binds only to α₁-acid glycoprotein. In absence of progesterone, each of the two proteins displays three fluorescence lifetimes. Addition of progesterone induces a partial inhibition of the S _o → ¹ L _a transition without affecting fluorescence lifetimes. The same experiments performed in presence of denatured proteins in 6 M guanidine show that addition of progesterone inhibits partially the S _o → ¹ L _a transition and its peak is 15 nm shifted to the red compared to that obtained for native proteins. However, the S _o → ¹ L _b transition position peak is not affected by protein denaturation. Thus, the tertiary structure of the protein plays an important role by modulating the tryptophan electronic transitions. Fluorescence emission decay recorded in absence and presence of progesterone yields three fluorescence lifetimes whether proteins are denatured or not. Thus, protein tertiary structure is not responsible for the presence of three fluorescence lifetimes. These characterize tryptophan substructures reached at the excited states and which population (pre-exponential values) depend on the tryptophan residues interaction with their microenvironment(s) and thus on the global conformation of the protein.     

Time-dependent quantum wave packet and quasiclassical trajectory studies of the Au(2S) + H2(X1∑+g) → AuH(X1∑+g) + H(2S) reaction

The time-dependent quantum wave packet (TDWP) and quasiclassical trajectory calculations (QCT) are carried out for the Au(²S) + H₂(X¹∑⁺_g) → AuH(X¹∑⁺_g) + H(²S) reaction on a global potential energy surface. The reaction probabilities at a series of J values, integral cross sections (ICSs) and differential cross sections of the title reaction are calculated by the TDWP method. For reaction probabilities, there are a mass of sharp oscillations at low collision energy, which can be attributed to resonances supported by the potential well. Due to the endothermicity of the title reaction, the total ICS shows a threshold about 1.53 eV. In order to further investigate the reactive mechanism, the lifetime of complex is calculated by QCT method. At the low collision energy, most intermediate complexes are long lived, which implies that the reaction is governed by indirect reactive mechanism. With the collision energy increasing, the direct reactive mechanism occupies the dominant position. Due to the change of the reactive mechanism, the angular distribution shifts toward the forward direction with collision energy increasing. The isotopic variant, Au + D₂→AuD + D reaction, is also calculated by TDWP method. The calculated reaction probabilities and ICSs show that the isotope effect reduces the reactivity.     

The work function of cathodes for electrons and the performance characteristics of Geiger-Müller counting tubes

Acta physica Academiae Scientiarum Hungaricae - The paper deals with investigations concerning the relation between the work function of GM counting tube cathodes and the performance...