105 research outputs found
Born-Infeld Action from Supergravity
We show that the Born-Infeld action with the Wess-Zumino terms for the
Ramond-Ramond fields, which is the D3-brane effective action, is a solution to
the Hamilton-Jacobi (H-J) equation of type IIB supergravity. Adopting the
radial coordinate as time, we develop the ADM formalism for type IIB
supergravity reduced on and derive the H-J equation, which is the
classical limit of the Wheeler-De Witt equation and whose solutions are
classical on-shell actions. The solution to the H-J equation reproduces the
on-shell actions for the supergravity solution of a stack of D3-branes in a
field and the near-horizon limit of this supergravity solution, which is
conjectured to be dual to noncommutative Yang Mills and reduces to in the commutative limit. Our D3-brane effective action is that of
a probe D3-brane, and the radial time corresponds to the vacuum expectation
value of the Higgs field in the dual Yang Mills. Our findings can be applied to
the study of the holographic renormalization group.Comment: 25 pages, minor changes, published versio
Gravity in --Dimensional Quantum Gravity
We study gravity in --dimensional quantum gravity. Taking
care of the oversubtraction problem in the conformal mode dynamics, we perform
a full order calculation of string susceptibility in the limit. The result is consistent with that obtained through Liouville
approach.Comment: 12 pages; KEK-TH-394, KEK Preprint 94-15, ICRR-Report-318-94-13,
UT-Komaba/94-1
Realizing three generations of the Standard Model fermions in the type IIB matrix model
We discuss how the Standard Model particles appear from the type IIB matrix
model, which is considered to be a nonperturbative formulation of superstring
theory. In particular, we are concerned with a constructive definition of the
theory, in which we start with finite-N matrices and take the large-N limit
afterwards. In that case, it was pointed out recently that realizing chiral
fermions in the model is more difficult than it had been thought from formal
arguments at N=infinity and that introduction of a matrix version of the warp
factor is necessary. Based on this new insight, we show that two generations of
the Standard Model fermions can be realized by considering a rather generic
configuration of fuzzy S^2 and fuzzy S^2 * S^2 in the extra dimensions. We also
show that three generations can be obtained by squashing one of the S^2's that
appear in the configuration. Chiral fermions appear at the intersections of the
fuzzy manifolds with nontrivial Yukawa couplings to the Higgs field, which can
be calculated from the overlap of their wave functions.Comment: 28 pages, 11 figures; (v2) references added, typos corrected; (v3)
footnote added, version to be published on JHE
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