Effects of Matrix Orientifolding to Two-Loop Effective Action of Bosonic IIB Matrix Model

We study the spacetime structures which are described by the IIB matrix model with orientifolding. Matrix orientifolding that preserves supersymmetries yields the mirror image point with respect to a four-dimensional plane for each spacetime point that corresponds to the eigenvalue of the bosonic matrix. In order to consider the upper bound on the distance between two eigenvalues in this model, we calculate the effective action for the eigenvalues up to two-loop. The eigenvalues distribute in a tubular region around the four-dimensional plane.Comment: 16 pages, 3 figure

qq-Virasoro/W Algebra at Root of Unity and Parafermions

We demonstrate that the parafermions appear in the $r$-th root of unity limit of $q$-Virasoro/$W_n$ algebra. The proper value of the central charge of the coset model $\frac{\widehat{\mathfrak{sl}}(n)_r \oplus \widehat{\mathfrak{sl}}(n)_{m-n}}{\widehat{\mathfrak{sl}}(n)_{m-n+r}}$ is given from the parafermion construction of the block in the limit.Comment: 13 pages, 1 figure; v2: references added, minor corrections mad

A-D hypersurface of su(n)su(n) N=2\mathcal{N}=2 supersymmetric gauge theory with Nf=2n−2N_f = 2n-2 flavors

In the previous letter, arXiv:2210.16738[hep-th], we found a set of flavor mass relations as constraints that the $\beta$-deformed $A_{n-1}$ quiver matrix model restores the maximal symmetry in the massive scaling limit and reported the existence of Argyres-Douglas critical hypersurface. In this letter, we derive the concrete conditions on moduli parameters which maximally degenerates the Seiberg-Witten curve while maintaining the flavor mass relations. These conditions define the A-D hypersurface.Comment: 6 page

Land transformation on okinawa island, southwest japan

It is the purpose of this paper to clarify the general trends in the development activities on Okinawa Island and to estimate the rate of direct denudation and accelerated soil erosion in selected areas of the island. The result from the measurement in Naha City and its surroundings shows that mean removed earth volume in each development site is 2.2×10^5 m^3 (3.9×10^6 m^3/km^2) and that the rate of removed earth volume in the region is 2.2×10^4 m^3/km^2・yr. The result from the measurement in the Yabu-River catchment area shows that annual landsurface lowering is 1.0×10^5 m^3/km^2・yr and the sediment yield transported from this catchment is 3.9×10^4 m^3/km^2・yr (about 50,000t/km^2・yr). In addition to such measurements, differences of land transformations within the areas are studied