We prove Iqbal’s conjecture on the relationship between the free energy of closed string theory in local toric geometry and the Wess-ZuminoWitten model. This is achieved by first reformulating the calculations of the free energy by localization techniques in terms of suitable Feynman rule, then exploiting a realization of the Feynman rule by free bosons. We also use a formula of Hodge integrals...

In the present paper are discussed the results of the investigations of the phenylpropanoids of the medicinal plants which are of the great interest as the sources of the neurotropic, adaptogenic, immunostimulating, antioxidative, and hepatoprotective preparations. There were shown the necessity of using of the standard samples of triandrin (Rhodiola rosea L. tissue cultures, Salix viminalis L....

Abstract. We prove some combinatorial results related to a formula on Hodge integrals conjectured by Mariño and Vafa. These results play important roles in the proof and applications of this formula by the author jointly with ChiuChu Melissa Liu and Kefeng Liu. We also compare with some related results on Hurwitz numbers and obtain some closed expressions for the generating series of Hurwitz nu...

indian meal moth, plodia interpunctella hubner is one of the most important stored-product insects that are controlled by fumigants. however, the use of plant essential oils and their constituents may have the advantage over conventional fumigants in terms of low mammalian toxicity and can be used as alternatives to conventional fumigants. therefore, in this research, repellent activity of 18 p...