2 4 A ug 1 99 8 ON REFLECTION OF STATIONARY SETS IN P

/ 99 07 00 8 v 2 6 A ug 1 99 9 1 / 4 - BPS states on noncommutative tori

We give an explicit expression for classical 1/4-BPS fields in supersymmetric Yang-Mills theory on noncommutative tori. We use it to study quantum 1/4-BPS states. In particular we calculate the degeneracy of 1/4-BPS energy levels.

6 v 1 2 8 A ug 1 99 8 Goldstone and Pseudo - Goldstone Bosons in Nuclear , Particle and Condensed - Matter Physics

2 8 A ug 1 99 8 GAUSS SUMS , JACOBI SUMS , AND p - RANKS OF CYCLIC DIFFERENCE SETS

We study quadratic residue difference sets, GMW difference sets, and difference sets arising from monomial hyperovals, all of which are (2d−1, 2d−1−1, 2d−2−1) cyclic difference sets in the multiplicative group of the finite field F2d of 2 d elements, with d ≥ 2. We show that, except for a few cases with small d, these difference sets are all pairwise inequivalent. This is accomplished in part b...

s . cl as s - ph ] 2 4 A ug 1 99 9 Unified Expressions Of All Integral Variational Principles Based On The Quantitative Causal Principle

X iv :p hy si cs /9 90 30 15 v2 [ ph ys ic s. cl as sph ] 2 4 A ug 1 99 9 Unified Expressions Of All Integral Variational Principles Based On The Quantitative Causal Principle Y. C. Huang 1,2 A. M. Li M. X. Shao X. G. Li Department of Applied Physics, Beijing Polytechnic University, Beijing 100022, P. R. China ( Email address: [email protected] ) Institute of Theoretical Physics, Chinese Acad...

v 2 2 9 A ug 1 99 8 Goldstone and Pseudo - Goldstone Bosons in Nuclear , Particle and Condensed - Matter Physics