ar X iv : h ep - t h / 97 03 01 9 v 1 3 M ar 1 99 7 DAMTP 97 – 12 On the generalizations of Poisson structures

ar X iv : h ep - t h / 97 03 05 4 v 1 6 M ar 1 99 7 Symmetries and the Antibracket : The Batalin - Vilkovisky Method

ar X iv : h ep - t h / 97 09 01 6 v 1 2 S ep 1 99 7 Free boson representation of DY h̄ ( gl N ) k

ar X iv : h ep - t h / 97 10 01 6 v 4 2 9 O ct 1 99 7 K 3 Surfaces , Igusa Cusp Form and String Theory

It has recently become apparent that the elliptic genera of K3 surfaces (and their symmetric products) are intimately related to the Igusa cusp form of weight ten. In this contribution, I survey this connection with an emphasis on string theoretic viewpoints.

ar X iv : h ep - t h / 97 03 10 3 v 1 1 4 M ar 1 99 7 U ( 2 ) - chiral symmetries of supersymmetric QED 3

Supersymmetry is studied in 2+1 dimensions. In addition to the mul-tiplets corresponding to those in 3+1 dimensions the Clifford algebra allows an extra set. When the extra chiral multiplet is included, formulating supersymmetric QED3 in the manner of Wess and Zumino yields a lagrangian with a richer 'chiral' symmetry than that derived from super-symmetric QED by dimensional reduction.

ar X iv : h ep - t h / 99 03 14 8 v 1 1 7 M ar 1 99 9 Neutral Particles and Super Schwinger Terms

Z2-graded Schwinger terms for neutral particles in 1 and 3 space dimensions are considered.