X-ray Sources and their Optical Counterparts in the Globular Cluster M4

We report on the Chandra X-ray Observatory ACIS-S3 imaging observation of the Galactic globular cluster M4 (NGC 6121). We detect 12 X-ray sources inside the core and 19 more within the cluster half-mass radius. The limiting luminosity of this observation is Lx~10e29 erg/sec for sources associated with the cluster, the deepest X-ray observation of a globular cluster to date. We identify 6 X-ray sources with known objects and use ROSAT observations to show that the brightest X-ray source is variable. Archival data from the Hubble Space Telescope allow us to identify optical counterparts to 16 X-ray sources. Based on the X-ray and optical properties of the identifications and the information from the literature, we classify two (possibly three) sources as cataclysmic variables, one X-ray source as a millisecond pulsar and 12 sources as chromospherically active binaries. Comparison of M4 with 47 Tuc and NGC 6397 suggests a scaling of the number of active binaries in these clusters with the cluster (core) mass.Comment: 11 pages, 6 figures, accepted for publication in ApJ. Figure 1 and 5 are of reduced qualit

Dilogarithm Identities in Conformal Field Theory and Group Homology

Recently, Rogers' dilogarithm identities have attracted much attention in the setting of conformal field theory as well as lattice model calculations. One of the connecting threads is an identity of Richmond-Szekeres that appeared in the computation of central charges in conformal field theory. We show that the Richmond-Szekeres identity and its extension by Kirillov-Reshetikhin can be interpreted as a lift of a generator of the third integral homology of a finite cyclic subgroup sitting inside the projective special linear group of all $2 \times 2$ real matrices viewed as a {\it discrete} group. This connection allows us to clarify a few of the assertions and conjectures stated in the work of Nahm-Recknagel-Terhoven concerning the role of algebraic $K$-theory and Thurston's program on hyperbolic 3-manifolds. Specifically, it is not related to hyperbolic 3-manifolds as suggested but is more appropriately related to the group manifold of the universal covering group of the projective special linear group of all $2 \times 2$ real matrices viewed as a topological group. This also resolves the weaker version of the conjecture as formulated by Kirillov. We end with the summary of a number of open conjectures on the mathematical side.Comment: 20 pages, 2 figures not include

Fermionic Quasi-Particle Representations for Characters of {(G^{(1)})_1 \times (G^{(1)})_1 \o (G^{(1)})_2}

We present fermionic quasi-particle sum representations for some of the characters (or branching functions) of ~{(G^{(1)})_1 \times (G^{(1)})_1 \o (G^{(1)})_2} ~for all simply-laced Lie algebras $G$. For given $G$ the characters are written as the partition function of a set of rank~$G$ types of massless quasi-particles in certain charge sectors, with nontrivial lower bounds on the one-particle momenta. We discuss the non-uniqueness of the representations for the identity character of the critical Ising model, which arises in both the $A_1$ and $E_8$ cases.Comment: 14/9 pages in harvmac, ITP-SB-92-64/RU-92-51. References adde

Altered expression of nerve growth factor in the skin of transgenic mice leads to changes in response to mechanical stimuli

It has recently become clear that the neurotrophic factor, nerve growth factor, interacts specifically with nociceptive sensory neurons during development and maturity. Indeed, it may serve as a critical link between inflammation and the hyperalgesia that ensues in adult animals. Nerve growth factor is normally expressed in limiting amounts in target tissues of sensory and postganglionic sympathetic neurons. In the present study we have altered the basal level of nerve growth factor expression in the skin by producing transgenic mice that express a fusion gene construct containing either a sense or antisense nerve growth factor complementary DNA linked to the K14 keratin promoter. The K14-nerve growth factor transgene (sense or antisense) is abundantly expressed in skin from approximately embryonic day 15 and is then constitutively expressed throughout the life of the animal. In light of the fact that systemic administration of nerve growth factor to neonatal or adult rats leads to hyperalgesia, we have asked whether mice expressing the sense K14-nerve growth factor transgene exhibit similar sensory abnormalities and whether mice expressing the antisense nerve growth factor complementary DNA were hypoalgesic. Here we show that mice over-expressing nerve growth factor in skin display a profound hyperalgesia to noxious mechanical stimulation. Additionally, K14-nerve growth factor antisense mice displayed a profound hypoalgesia to the same stimuli