Plane Partition Realization of (Web of) W-algebra Minimal Models

Recently, Gaiotto and Rapcak (GR) proposed a new family of the vertex operator algebra (VOA) as the symmetry appearing at an intersection of five-branes to which they refer as Y algebra. Prochazka and Rapcak, then proposed to interpret Y algebra as a truncation of affine Yangian whose module is directly connected to plane partitions (PP). They also developed GR's idea to generate a new VOA by connecting plane partitions through an infinite leg shared by them and referred it as the web of W-algebra (WoW). In this paper, we demonstrate that double truncation of PP gives the minimal models of such VOAs. For a single PP, it generates all the minimal model irreducible representations of W-algebra. We find that the rule connecting two PPs is more involved than those in the literature when the U(1) charge connecting two PPs is negative. For the simplest nontrivial WoW, N=2 superconformal algebra, we demonstrate that the improved rule precisely reproduces the known character of the minimal models.Comment: 37pages; references and minor comments added in 2nd versio

Matrix Model for Dirichlet Open String

We discuss the open string ending on D $p$-branes in IKKT framework. First we determine the boundary conditions of Green-Schwarz superstring which are consistent with supersymmetry and $\kappa$-symmetry. We point out some subtleties arising from taking the Schild gauge and show that in this gauge the system incorporates the limited dimensional D $p$-branes ($p=3,7$). The matrix regularization for the Dirichlet open string is given by gauge group SO(N). When $p=3$, the matrix model becomes the dimensional reduction of a 6 dimensional ${\cal N}=1$ super Yang-Mills theory.Comment: 9 pages, LaTe

Response of the Termite, Coptotermes formosanus SHRIAKI to Extracts from Fungus-infected and Delignified Fungus-infected Woods

この論文は国立情報学研究所の学術雑誌公開支援事業により電子化されました。Pine (Pinus densiflora SIEB. et Zucc.) and beech (Faqus crenata BLUME) wood meals which delignified or not delignified, were decayed by 4 species of white rot fungi, Coriolus versicoior, Lenzites betulina, Pycnopoms coccineus and Ganoderma lucidum, and 7 species of brown rot fungi, Tyromyces palustris, Daedalea dickinsii, Lenzites trabea, Gloeophyllum saepiarium, Coniophora puteana, Serpula lacrymans and Lentinus lepideus. Thereafter, a trail-following activity to the termite, Coplotermes formosanus in the ether extracts of these decayed wood meals was examined. The extracts of the delignified pine wood meals decayed by the brown rot fungi other than c. puteana showed the trail-following activity. The extracts of the normal pine, the normal beech and the delignified beech wood meals which were rotted by S. lacrymans, also showed the trail-following activity. The wood meals decayed by white rot fungi were decomposed heavily, and a great deal of mycelia and fruit bodies were produced. Nevertheless, the extracts of both normal wood meals and delignified wood meals decayed by all the white rot fungi did not show the trail-following activity

The effective potential for string backgrounds from string geometry theory

String geometry theory is one of the candidates of the non-perturbative formulation of string theory. In this paper, in the bosonic sector of string geometry theory, we identify perturbative vacua in bosonic string theory, which include general string backgrounds. From fluctuations around these vacua, we derive the path-integrals of perturbative strings on the string backgrounds up to any order. Furthermore, the identification of the perturbative vacua enables us to obtain differential equations that determine an effective potential for string backgrounds. We solve the differential equations and obtain an effective potential explicitly up to the second order. In a generic region, we show that the minimum of the second order potential gives a non-trivial background. This fact supports that the full effective potential can determine the true vacuum in string theory.Comment: 21 pages, 1 figur

Microscopic description of large-amplitude shape-mixing dynamics with local QRPA inertial functions

We introduce a microscopic approach to derive all the inertial functions in the five-dimensional quadrupole collective Hamiltonian. Local normal modes are evaluated on the constrained mean field in the quasiparticle random-phase approximation in order to derive the inertial functions. The collective Hamiltonians for neutron-rich Mg isotopes are determined with use of this approach, and the shape coexistence/mixing around the N = 20 region is analyzed.Comment: 6 pages, 2 figures, Talk given at International Symposium New Faces of Atomic Nuclei, Okinawa, Japan, Nov. 15-17, 201