212 research outputs found
Data from âObject Labeling Activates Young Childrenâs Scale Errors at an Early Stage of Verb Vocabulary Growthâ
When young children develop the ability to represent and interact with objects, scale errors, in which they attempt to act on miniature-sized artifacts in an impossible manner, are often observed. To investigate the relationships between scale errors and semantic representations activated by lexical cues, we performed studies while manipulating whether object labeling was provided (the noun and pronoun conditions) as a within-participant factor (Hagihara et al., 2022). The dataset included the scale error production of 72 Japanese toddlers aged from 18 to 30 months, with their vocabulary measures. This dataset is freely available so that other developmental psychologists can address related research questions
Supercurrent Interactions in Noncommutative Yang-Mills and IIB Matrix Model
It is known that noncommutative Yang-Mills is equivalent to IIB matrix model
with a noncommutative background, which is interpreted as a twisted reduced
model. In noncommutative Yang-Mills, long range interactions can be seen in
nonplanar diagrams after integrating high momentum modes. These interactions
can be understood as block-block interactions in the matrix model. Using this
relation, we consider long range interactions in noncommutative Yang-Mills
associated with fermionic backgrounds. Exchanges of gravitinos, which couple to
a supersymmetry current, are examined.Comment: 16 pages, LaTex, minor change
Matrix Configurations for Spherical 4-branes and Non-commutative Structures on S^4
We present a Matrix theory action and Matrix configurations for spherical
4-branes. The dimension of the representations is given by N=2(2j+1)
(j=1/2,1,3/2,...). The algebra which defines these configurations is not
invariant under SO(5) rotations but under SO(3) \otimes SO(2). We also
construct a non-commutative product for field theories on S^4 in terms of that
on S^2. An explicit formula of the non-commutative product which corresponds to
the N=4 dim representation of the non-commutative S^4 algebra is worked out.
Because we use S^2 \otimes S^2 parametrization of S^4, our S^4 is doubled and
the non-commutative product and functions on S^4 are indeterminate on a great
circle (S^1) on S^4. We will however, show that despite this mild singularity
it is possible to write down a finite action integral of the non-commutative
field thoery on S^4. NS-NS B field background on S^4 which is associated with
our Matrix S^4 configurations is also constructed.Comment: 22 pages; Discussion on commutative limit and some explanation adde
On Higher Dimensional Fuzzy Spherical Branes
Matrix descriptions of higher dimensional spherical branes are investigated.
It is known that a fuzzy 2k-sphere is described by the coset space
SO(2k+1)/U(k) and has some extra dimensions. It is shown that a fuzzy 2k-sphere
is comprised of n^{\frac{k(k-1)}{2}} spherical D(2k-1)-branes and has a fuzzy
2(k-1)-sphere at each point. We can understand the relationship between these
two viewpoints by the dielectric effect. Contraction of the algebra is also
discussed.Comment: 20 page
Development of Rice Cultivation under a Water Storage-type Deep-irrigation Regime(Frontiers in Rice Science -from Gene to Field-,The 100^<th> Anniversary of Tohoku University, International Symposium)
Noncommutative Gauge Theory on Fuzzy Four-Sphere and Matrix Model
We study a noncommutative gauge theory on a fuzzy four-sphere. The idea is to
use a matrix model with a fifth-rank Chern-Simons term and to expand matrices
around the fuzzy four-sphere which corresponds to a classical solution of this
model. We need extra degrees of freedom since algebra of coordinates does not
close on the fuzzy four-sphere. In such a construction, a fuzzy two sphere is
added at each point on the fuzzy four-sphere as extra degrees of freedom. It is
interesting that fields on the fuzzy four-sphere have higher spins due to the
extra degrees of freedom. We also consider a theory around the north pole and
take a flat space limit. A noncommutative gauge theory on four-dimensional
plane, which has Heisenberg type noncommutativity, is considered.Comment: 22 pages, eq.(36) and section 4 are modifie
IIB Matrix Model with D1-D5 Backgrounds
We consider IIB matrix model with D1-D5-brane backgrounds. Using the fact
that noncommutative gauge theory on the D-branes can be obtained as twisted
reduced model in IIB matrix model, we study two-dimensional gauge theory on
D1-branes and D5-branes. Especially the spectrum of the zero modes in the
off-diagonal parts is examined. We also consider the description of D1-branes
as local excitations of gauge theory on D5-branes. Relation to supergravity
solution is also discussed.Comment: 17 pages, LaTe
Field Equations of Massless Fields in the New Interpretation of the Matrix Model
Recently, some of the authors have introduced a new interpretation of matrix
models in which covariant derivatives on any curved space can be expressed by
large-N matrices. It has been shown that the Einstein equation follows from the
equation of motion of IIB matrix model in this interpretation. In this paper,
we generalize this argument to covariant derivatives with torsion. We find that
some components of the torsion field can be identified with the dilaton and the
-field in string theory. However, the other components do not seem to have
string theory counterparts. We also consider the matrix model with a mass term
or a cubic term, in which the equation of motion of string theory is exactly
satisfied.Comment: 21 page
Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model
We derive a noncommutative U(1) and U(n) gauge theory on the fuzzy sphere
from a three dimensional matrix model by expanding the model around a classical
solution of the fuzzy sphere. Chern-Simons term is added in the matrix model to
make the fuzzy sphere as a classical solution of the model. Majorana mass term
is also added to make it supersymmetric. We consider two large limits, one
corresponding to a gauge theory on a commutative sphere and the other to that
on a noncommutative plane. We also investigate stability of the fuzzy sphere by
calculating one-loop effective action around classical solutions. In the final
part of this paper, we consider another matrix model which gives a
supersymmetric gauge theory on the fuzzy sphere. In this matrix model, only
Chern-Simons term is added and supersymmetry transformation is modified.Comment: 31 pages, more investigations of the theory in the commutative limit
and references adde
Dimensional Hierarchy in Quantum Hall Effects on Fuzzy Spheres
We construct higher dimensional quantum Hall systems based on fuzzy spheres.
It is shown that fuzzy spheres are realized as spheres in colored monopole
backgrounds. The space noncommutativity is related to higher spins which is
originated from the internal structure of fuzzy spheres. In -dimensional
quantum Hall systems, Laughlin-like wave function supports fractionally charged
excitations, (m is odd). Topological objects are
()-branes whose statistics are determined by the linking number related
to the general Hopf map. Higher dimensional quantum Hall systems exhibit a
dimensional hierarchy, where lower dimensional branes condense to make higher
dimensional incompressible liquid.Comment: 4 pages, 1 figur
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