D3-brane from D-instantons in the hybrid formalism of superstring

A Dp-brane can be regarded as a configuration of infinitely many D(p-2k)-branes in bosonic string. We will show this property of D-branes in the superstring case using the hybrid formalism. It is convenient to study the boundary state for such D-branes to study such property between D-branes. We show that the boundary state for a D3-brane in a constant self-dual gauge field background can be expressed in terms of the boundary state for D-instantons in the hybrid formalism.Comment: 10 pages, minor corrections, reference adde

Unlocking Novel Quantum States: Virasoro-Bogoliubov Transformations in Two Modes

This paper explores the Bogoliubov transformation's extension to two-mode squeezed states, building on our previous work with Virasoro-squeezing. We establish the Virasoro-Bogoliubov transformation as a non-linear extension of the traditional Bogoliubov transformation, creating non-linear two-mode squeezed states. This research unveils novel quantum states with the potential for innovative insights in various fields of quantum physics.Comment: 10 page

Quantization of Nambu Brackets from Operator Formalism in Classical Mechanics

The quantization of Nambu brackets is formulated using the approach of quantum mechanical formulation of classical mechanics. It is shown that the quantum-momentum operator is defined by the commutation relation between two variables in Nambu dynamics and that the canonical commutation relation between the quantum-position operator and the momentum operator is a natural extension of the Bohr-Sommerfeld quantization for the phase space in Nambu dynamics. As a concrete example, the Nambu dynamical system of membranes is constructed, and its quantization is discussed.Comment: 12 page

Fluctuating Non-linear Non-equilibrium System in Terms of Nambu Thermodynamics

It is shown that the structure of non-equilibrium thermodynamic system far from equilibrium can be captured in terms of a generalized "Nambu dynamics", in the presence of fluctuation effects in non-equilibrium thermodynamics. As concrete examples, chemical reaction systems with time oscillation, such as the Belousov-Zhabotinsky reaction (BZ reaction), are examined. The quantization of Nambu brackets arises naturally, which is expected to have applications in other regions such as fluid mechanics and string theory.Comment: 13 pages, 8 figure

Effects of Assisted Reproduction Technology on Placental Imprinted Gene Expression

We used placental tissue to compare the imprinted gene expression of IGF2, H19, KCNQ1OT1, and CDKN1C of singletons conceived via assisted reproduction technology (ART) with that of spontaneously conceived (SC) singletons. Of 989 singletons examined (ART n = 65; SC n = 924), neonatal weight was significantly lower (P < .001) in the ART group than in the SC group, but placental weight showed no significant difference. Gene expression analyzed by real-time PCR was similar for both groups with appropriate-for-date (AFD) birth weight. H19 expression was suppressed in fetal growth retardation (FGR) cases in the ART and SC groups compared with AFD cases (P < .02 and P < .05, resp.). In contrast, CDKN1C expression was suppressed in FGR cases in the ART group (P < .01), while KCNQ1OT1 expression was hyperexpressed in FGR cases in the SC group (P < .05). As imprinted gene expression patterns differed between the ART and SC groups, we speculate that ART modifies epigenetic status even though the possibilities always exist