2,996 research outputs found

    U-gravity : SL(N){\mathbf{SL}(N)}

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    We construct a duality manifest gravitational theory for the special linear group, SL(N){\mathbf{SL}(N)} with N≠4N{\neq 4}. The spacetime is formally extended, to have the dimension 12N(N−1)\textstyle{\frac{1}{2}} N(N-1), yet is `gauged'. Consequently the theory is subject to a section condition. We introduce a semi-covariant derivative and a semi-covariant `Riemann' curvature, both of which can be completely covariantized after symmetrizing or contracting the SL(N){\mathbf{SL}(N)} vector indices properly. Fully covariant scalar and `Ricci' curvatures then constitute the action and the `Einstein' equation of motion. For N≥5N\geq 5, the section condition admits duality inequivalent two solutions, one (N−1)(N-1)-dimensional and the other three-dimensional. In each case, the theory can describe not only Riemannian but also non-Riemannian backgrounds.Comment: 1+36 pages. Comments added. To appear in JHE

    Stringy Unification of Type IIA and IIB Supergravities under N=2 D=10 Supersymmetric Double Field Theory

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    To the full order in fermions, we construct D=10 type II supersymmetric double field theory. We spell the precise N=2 supersymmetry transformation rules as for 32 supercharges. The constructed action unifies type IIA and IIB supergravities in a manifestly covariant manner with respect to O(10,10) T-duality and a pair of local Lorentz groups, or Spin(1,9) \times Spin(9,1), besides the usual general covariance of supergravities or the generalized diffeomorphism. While the theory is unique, the solutions are twofold. Type IIA and IIB supergravities are identified as two different types of solutions rather than two different theories.Comment: v1) 4+9 pages. v2) 1+26 pages, Unification highlighted. References adde

    Lie Derivatives and Ricci Tensor on Real Hypersurfaces in Complex Two-plane Grassmannians

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    On a real hypersurface M in a complex two-plane Grassmannian Gz(Cm+z) we have the Lie derivation L and a diòerential operator of order one associated with the generalized Tanaka– Webster connection L(k). We give a classiûcation of real hypersurfaces M on Gz(Cm+z) satisfying L (k) S = L S, where epsilon is the Reeb vector ûeld on M and S the Ricci tensor of M

    Two essays on monetary policy under the Taylor rule

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    In this dissertation, two questions concerning monetary policy under the Taylor rule have been addressed. The first question is on, under the Taylor rule, whether a central bank should be responsible for both bank supervision and monetary policy or whether the two tasks should be exercised by separate institutions. This is the main focus of Chapter I. The second question is on whether the Taylor rule plays an important role in explaining modern business cycles in the United States. The second question has been covered by Chapter II. The implications of the first chapter can be summarized as follows: (i) it is inevitable for the central bank to have a systematic error in conducting monetary policy when the central bank does not have a bank supervisory role; (ii) without a bank supervisory role, the effectiveness of monetary policy cannot be guaranteed; (iii) because of the existence of conflict of interests, giving a bank supervisory role to the central bank does not guarantee the effectiveness of monetary policy, either; (iv) the way of setting up another government agency, bank regulator, and making the central bank and the regulator cooperate each other does not guarantee the effectiveness of monetary policy because, in this way, the systematic error in conducting monetary policy cannot be eliminated; (v) in the view of social welfare, not in the view of the effectiveness of monetary policy, it is better for the central bank to keep the whole responsibility or at least a partial responsibility on bank supervision. In the second chapter, we examined the effect of a technology shock and a money shock in the context of an RBC model incorporating the Taylor rule as the Fed??s monetary policy. One thing significantly different from other researches on this topic is the way the Taylor rule is introduced in the model. In this chapter, the Taylor rule is introduced by considering the relationship among the Fisher equation, Euler equation and the Taylor rule explicitly in the dynamic system of the relevant RBC model. With this approach, it has been shown that, even in a flexible-price environment, the two major failures in RBC models with money can be resolved. Under the Taylor rule, the correlation between output and inflation appears to be positive and the response of our model economy to a shock is persistent. Furthermore, the possibility of an existing liquidity effect is found. These results imply that the Taylor rule does play a key role in explaining business cycles in the United States
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