Challenges of beta-deformation

A brief review of problems, arising in the study of the beta-deformation, also known as "refinement", which appears as a central difficult element in a number of related modern subjects: beta \neq 1 is responsible for deviation from free fermions in 2d conformal theories, from symmetric omega-backgrounds with epsilon_2 = - epsilon_1 in instanton sums in 4d SYM theories, from eigenvalue matrix models to beta-ensembles, from HOMFLY to super-polynomials in Chern-Simons theory, from quantum groups to elliptic and hyperbolic algebras etc. The main attention is paid to the context of AGT relation and its possible generalizations.Comment: 20 page

The gigas mutant in pea is deficient in the floral stimulus

Identification of a gene acting in the floral stimulus pathway should provide a basis for determining the identity of this elusive substance. Our tests indicate the Gi (gigas) gene in pea (Pisum sativum L.) acts in this manner. The gigas mutant was selected by Dr M. Vassileva following gamma radiation of the late flowering, quantitative long day cultivar Virtus. The gigas trait showed single gene recessive inheritance and the mutant allele was symbolised gi consistent with our preliminary report. Gigas plants were later flowering than the initial line in all conditions tested and they showed an enhanced response to photoperiod and vernalisation. Unvernalised gigas plants did not flower under a 24-h photoperiod comprising 8 h of daylight and 16 h of weak (3 mu mol m(-2) s(-1)) incandescent light and they took on a phenotype similar to the veg1 (vegetative) mutant in pea. However, genetic tests showed the two mutants were not allelic. Three or four weeks vernalisation at 4 degrees C resulted in 100% flowering of gigas plants under the 24-h photoperiod. Applied gibberellin A(3) inhibited flowering in gigas plants given partial cold induction. Grafting studies showed the promotive effect of vernalisation occurred in the shoot. Grafting studies were also used to examine the physiological basis of delayed flowering in the gigas mutant. These studies indicated that gigas plants produced normal levels of flower inhibitor and they responded in a normal manner to the floral stimulus. Reciprocal grafts were made between the gigas mutant and the wild-type initial line. Under the 24-h photoperiod, either a wild-type root-stock with cotyledons or a wild-type shoot induced flowering in a gigas graft partner. However, under a 9-h photoperiod, flowering was only induced if the wild-type partner possessed both roots and a shoot. We conclude that gigas plants are deficient in the floral stimulus or a precursor which can be supplied across a graft union by a wild-type donor. Of the 12 major flowering genes known in pea, Gi is the first found to act on the synthesis pathway for the floral stimulus

Branching Mutant Rms-2 in Pisum-Sativum - Grafting Studies and Endogenous Indole-3-Acetic-Acid Levels

Isogenic lines of pea (Pisum sativum L.) were used to determine the physiological site of action of the Rms-2 gene, which maintains apical dominance, and its effect on endogenous free indole-3-acetic acid (IAA) levels. In mutant rms-2 scions, which normally produce lateral branches below node 3 and above node 7, apical dominance was almost fully restored by grafting to Rms-2 (wildtype) stocks. In the reciprocal grafts, rms-2 stacks did not promote branching in wild-type shoots. Together, these results suggest that the Rms-2 gene inhibits branching in the shoot of pea by controlling the synthesis of a translocatable (hormone-like) substance that is produced in the roots and/or cotyledons and in the shoot. At all stages, including the stage at which aerial lateral buds commence outgrowth, the level of IAA in rms-a shoots was elevated (up to 5-fold) in comparison with that in wild-type shoots. The internode length of rms-2 plants was 40% less than in wild-type plants, and the mutant plants allocated significantly more dry weight to the shoot than to the root in comparison with wild-type plants. Crafting to wild-type stocks did not normalize IAA levels or internode length in rms-2 scions, even though it inhibited branching, suggesting that the involvement of Rms-2 in the control of IAA level and internode length may be confined to processes in the shoot

Branching in Pea (Action of Genes Rms3 and Rms4).

The nonallelic ramosus mutations rms3-2 and rms4 of pea (Pisum sativum L.) cause extensive release of vegetative axillary buds and lateral growth in comparison with wild-type (cv Torsdag) plants, in which axillary buds are not normally released under the conditions utilized. Grafting studies showed that the expression of the rms4 mutation in the shoot is independent of the genotype of the root-stock. In contrast, the length of the branches at certain nodes of rms3-2 plants was reduced by grafting to wild-type stocks, indicating that the wild-type Rms3 gene may control the level of a mobile substance produced in the root. This substance also appears to be produced in the shoot because Rms3 shoots did not branch when grafted to mutant rms3-2 rootstocks. However, the end product of the Rms3 gene appears to differ from that of the Rms2 gene (C.A. Beveridge, J.J. Ross, and I.C. Murfet [1994] Plant Physiol 104: 953-959) because reciprocal grafts between rms3-2 and rms2 seedlings produced mature shoots with apical dominance similar to that of rms3-2 and rms2 shoots grafted to wild-type stocks. Indole-3-acetic acid levels were not reduced in apical or nodal portions of rms4 plants and were actually elevated (up to 2-fold) in rms3-2 plants. It is suggested that further studies with these branching mutants may enable significant progress in understanding the normal control of apical dominance and the related communication between the root and shoot