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We discuss general properties of A∞-algebras and their applications to the theory of open strings. The properties of cyclicity for A∞-algebras are examined in detail. We prove the decomposition theorem, which is a stronger version of the minimal model theorem, for A∞algebras and cyclic A∞-algebras and discuss various consequences of it. In particular it is… (More)

- Hiroshige Kajiura, Jim Stasheff
- 2004

We define a homotopy algebra associated to classical open-closed strings. We call it an open-closed homotopy algebra (OCHA). It is inspired by Zwiebach’s open-closed string field theory and also is related to the situation of Kontsevich’s deformation quantization. We show that it is actually a homotopy invariant notion; for instance, the minimal model… (More)

- Yoshifumi Ninomiya, Hiroshige Kajiura, Koshi Mochizuki
- Neuroscience letters
- 1993

The differential taste responses of the chorda tympani (CT) and the glossopharyngeal (GL) nerves in preweanling and adult mice were examined by comparing magnitudes of responses to six sugars and 10 amino acids. The results indicate that for sugars the responses of the CT nerve are greater than those of the GL nerve while for umami and essential amino acids… (More)

We construct the exact noncommutative solutions on tori. This gives an exact description of tachyon condensation on bosonic D-branes, non-BPS D-branes and brane-antibrane systems. We obtain various bound states of D-branes after the tachyon condensation. Our results show that these solutions can be generated by applying the gauge Morita equivalence between… (More)

It is known that the physics of open strings on a D2-brane on a two-torus is realized from the viewpoint of deformation quantization in the Seiberg-Witten limit. We study its T-dual theory, i.e. D1-brane physics on two-tori. Such theory is described by Kronecker foliation. The algebra of open strings on the D1-brane is then identified with the crossed… (More)

We discuss general properties of classical string field theories with symmetric vertices in the context of deformation theory. For a given conformal background there are many string field theories corresponding to different decomposition of moduli space of Riemann surfaces. It is shown that any classical open string field theories on a fixed conformal… (More)

- Hiroshige Kajiura, Jim Stasheff
- 2006

In this paper we discuss various aspects of open-closed homotopy algebras (OCHAs) presented in our previous paper, inspired by Zwiebach’s open-closed string field theory, but that first paper concentrated on the mathematical aspects. Here we show how an OCHA is obtained by extracting the tree part of Zwiebach’s quantum open-closed string field theory. We… (More)

Homological mirror symmetry is a conjecture that a category constructed in the A-model and a category constructed in the B-model are equivalent in some sense. We construct a cyclic differential graded (DG) category of holomorphic vector bundles on noncommutative twotori as a category in the B-model side. We define the corresponding Fukaya’s category in the… (More)

We construct explicitly noncommutative deformations of categories of holomorphic line bundles over higher dimensional tori. Our basic tools are Heisenberg modules over noncommutative tori and complex/holomorphic structures on them introduced by A. Schwarz. We obtain differential graded (DG) categories as full subcategories of curved DG categories of… (More)

- Tohru Fushiki, Hiroshige Kajiura, Shin-ichi Fukuoka, Keiji Kido, Teruhiko Semba, Kenji Iwai
- The Journal of nutrition
- 1989

New evidence has been obtained suggesting that the "monitor" peptide is an essential intraluminal mediator in the stimulation of pancreatic enzyme secretion in response to protein intake in rats. Experiments were performed in vivo using a mixture of 50 mg of ovalbumin, alpha-lactalbumin or casein, 2 micrograms of purified protease-sensitive,… (More)