18 citations · 97 across the 12 of their papers we have counts for
12 papers
Matter from multiply enhanced singularities in F-theory
Shun'ya Mizoguchi, Taro Tani
We investigate the geometrical structure of multiply enhanced codimension-two singularities in the model of six-dimensional F-theory, where the rank of the singularity incr…
Non-split singularities and conifold transitions in F-theory
Rinto Kuramochi, Shun'ya Mizoguchi, Taro Tani
In F-theory, if a fiber type of an elliptic fibration involves a condition that requires an exceptional curve to split into two irreducible components, it is called ``split'' or ``…
Magic square and half-hypermultiplets in F-theory
Rinto Kuramochi, Shun'ya Mizoguchi, Taro Tani
In six-dimensional F-theory/heterotic string theory, half-hypermultiplets arise only when they correspond to particular quaternionic Kähler symmetric spaces, which are mostly assoc…
Half-hypermultiplets and incomplete/complete resolutions in F-theory
Naoto Kan, Shun'ya Mizoguchi, Taro Tani
We consider resolutions of codimension-two enhanced singularities from to and from to in six-dimensional F-theory, where a half-hypermultiplet arises for…
Non-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications
Shun'ya Mizoguchi, Taro Tani
The Mordell-Weil lattices (MW lattices) associated to rational elliptic surfaces are classified into 74 types. Among them, there are cases in which the MW lattice is none of the we…
Looijenga's weighted projective space, Tate's algorithm and Mordell-Weil Lattice in F-theory and heterotic string theory
Shun'ya Mizoguchi, Taro Tani
It is now well known that the moduli space of a vector bundle for heterotic string compactifications to four dimensions is parameterized by a set of sections of a weighted projecti…
Anomaly-free Multiple Singularity Enhancement in F-theory
Shun'ya Mizoguchi, Taro Tani
We study global Calabi-Yau realizations of multiple singularity enhancement relevant for family-unification model building in F-theory. We examine the conditions under which the ge…
Twisted boundary states and representation of generalized fusion algebra
Hiroshi Ishikawa, Taro Tani
The mutual consistency of boundary conditions twisted by an automorphism group G of the chiral algebra is studied for general modular invariants of rational conformal field theorie…
Twisted boundary states in Kazama-Suzuki models
Hiroshi Ishikawa, Taro Tani
We construct Cardy states in the Kazama-Suzuki model G/H x U(1), which satisfy the boundary condition twisted by the automorphisms of the coset theory. We classify all the automorp…
Novel construction of boundary states in coset conformal field theories
Hiroshi Ishikawa, Taro Tani
We develop a systematic method to solve the Cardy condition for the coset conformal field theory G/H. The problem is equivalent to finding a non-negative integer valued matrix repr…
Stability of Quiver Representations and Topology Change
Tomomi Muto, Taro Tani
We study phase structure of the moduli space of a D0-brane on the orbifold C^3/Z_2 \times Z_2 based on stability of quiver representations. It is known from an analysis using toric…
Wound D-branes in Gepner Models
Shun'ya Mizoguchi, Taro Tani
We propose a new prescription of how to represent D-branes in Gepner models in more general homology classes than those in the previous constructions. The central role is played by…