A Golden-Thompson inequality in supersymmetric quantum mechanics

We establish a supersymmetric version of the Golden-Thompson inequality.Supported in part by the Department of Energy under grant DE-FG02-88ER25065.     

Z4-Kerdock Codes, Orthogonal Spreads, and Extremal Euclidean Line-Sets

When m is odd, spreads in an orthogonal vector space of type⁺(2m + 2,2) are related to binary Kerdock codes and extremalline-sets in 2^{m + 1} with prescribed angles. Spreads in a 2m-dimensionalbinary symplectic vector space are related to Kerdock codesover Z₄ and extremal line-sets in with prescribed angles. These connections involve binary, realand complex geometry associated with extraspecial 2-groups.A geometric map from symplectic to orthogonal spreads is shownto induce the Gray map from a corresponding Z₄-Kerdock codeto its binary image. These geometric considerations lead tothe construction, for any odd composite m, of large numbersof Z₄-Kerdock codes. They also produce new Z₄-linear Kerdockand Preparata codes. 1991 Mathematics Subject Classification:primary 94B60; secondary 51M15, 20C99.     

Global Laurent expansions on Riemann surfaces

We discuss global Laurent expansions for meromorphich-forms on a compact Riemann surface of genusg2. Our approach is motivated by Krichever and Novikov's work on string theory.Supported in part by the Department of Energy under Grant DE-FG02-88ER25065     

Local rings of singularities andN=2 supersymmetric quantum mechanics

We investigate the Kähler structure arising inn-component,N=2 supersymmetric quantum mechanics. We defineL ²-cohomology groups of a modified and relate them to the corresponding spaces of harmonic forms. We prove that the cohomology is concentrated in the middle dimension, and is isomorphic to the direct sum of the local rings of the singularities of the superpotential. In the physics language, this means that the number of ground states is equal to the absolute value of the index of the supercharge, and each ground state contains exactlyn fermions.Supported in part by the Department of Energy under Grant DE-F602-88ER25065     

Application of Combinatorial Procedures in the Search for Serine-Protease-Like Activity with Focus on the Acyl Transfer Step

Recursive deconvolution of a 729-membered peptide library has identified three active sequences, in which both Ser and His are present in one of the two tripeptidic chains generated on a steroidal scaffold (see structural formula), for the cleavage of an activated p-nitrophenyl ester. This combinatorial approach aims at searching for serine-protease-like activity.     

Perspectives from above and beyond the proton drip-line

This paper will review the dramatic increase in our knowledge of one and two proton unbound nuclei [1] such as recoil decay tagging [2] are revealing unique insights into the structure of nuclei beyond the proton drip-line. These studies of excited states provide complementary information to proton radioactivity studies, particularly regarding the role of deformation [3]. Radioactive beams are being used to study two-proton unbound resonances and to study explosive nuclear astrophysical reactions in the region of the proton drip-line.     

Carbon ceramic nanoparticulate film electrode prepared from oppositely charged particles by layer-by-layer approach

Carbon ceramic nanoparticulate film electrode was prepared from negatively charged sulfonated carbon nanoparticles and positively charged silicate submicrometre particles with appended imidazolium groups. They were immobilized on an indium tin oxide surface by layer-by-layer method: alternative immersion into suspension of positive and negative particles. The film formation is confirmed by scanning electron microscopy – after larger number of immersion and withdrawal steps more material is deposited on the electrode substrate. The nanoparticulate film is stable and the obtained electrode exhibits a significant increase of capacitive current and faradaic current corresponding to hydrogen peroxide electroreduction. The effect of the number of immersion and withdrawal steps is strikingly visible on dioxygen bioelectrocatalytic reduction current after adsorption of the enzyme laccase.