25,061 research outputs found

    Scherk-Schwarz SUSY breaking from the viewpoint of 5D conformal supergravity

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    We reinterpret the Scherk-Schwarz (SS) boundary condition for SU(2)_R in a compactified five-dimensional (5D) Poincare supergravity in terms of the twisted SU(2)_U gauge fixing in 5D conformal supergravity. In such translation, only the compensator hypermultiplet is relevant to the SS twist, and various properties of the SS mechanism can be easily understood. Especially, we show the correspondence between the SS twist and constant superpotentials within our framework.Comment: 16 pages, no figur

    Macroscopic thermodynamics of equilibrium characterized by power-law canonical distributions

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    Macroscopic thermodynamics of equilibrium is constructed for systems obeying power-law canonical distributions. With this, the connection between macroscopic thermodynamics and microscopic statistical thermodynamics is generalized. This is complementary to the Gibbs theorem for the celebrated exponential canonical distributions of systems in contact with a heat bath. Thereby, a thermodynamic basis is provided for power-law phenomena ubiquitous in nature.Comment: 12 page

    Supersymmetry breaking in a warped slice with Majorana-type masses

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    We study the five-dimensional (5D) supergravity compactified on an orbifold S^1/Z_2, where the U(1)_R symmetry is gauged by the graviphoton with Z_2-even coupling. In contrast to the case of gauging with Z_2-odd coupling, this class of models has Majorana-type masses and allows the Scherk-Schwarz (SS) twist even in the warped spacetime. Starting from the off-shell formulation, we show that the supersymmetry is always broken in an orbifold slice of AdS_5, irrespective of the value of the SS twist parameter. We analyze the spectra of gaugino and gravitino in such background, and find the SS twist can provide sizable effects on them in the small warping region.Comment: 1+20 pages, 6 figure

    Exact Solutions to the Two-dimensional BF and Yang-Mills Theories in the Light-cone Gauge

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    It is shown that the BRS-formulated two-dimensional BF theory in the light-cone gauge (coupled with chiral Dirac fields) is solved very easily in the Heisenberg picture. The structure of the exact solution is very similar to that of the BRS-formulated two-dimensional quantum gravity in the conformal gauge. In particular, the BRS Noether charge has anomaly. Based on this fact, a criticism is made on the reasoning of Kato and Ogawa, who derived the critical dimension D=26 of string theory on the basis of the anomaly of the BRS Noether charge. By adding the B~2\widetilde{B}^2 term to the BF-theory Lagrangian density, the exact solution to the two-dimensional Yang-Mills theory is also obtained.Comment: 11 pages, LaTe

    Exponents of 2-multiarrangements and multiplicity lattices

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    We introduce a concept of multiplicity lattices of 2-multiarrangements, determine the combinatorics and geometry of that lattice, and give a criterion and method to construct a basis for derivation modules effectively.Comment: 14 page

    Gauged U(1)RU(1)_R Symmetries and Fayet-Iliopoulos Terms in 5D Orbifold Supergravity

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    We discuss a gauged U(1)RU(1)_R supergravity on five-dimensional (5D) orbifold (S1/Z2S^1/Z_2) in which both a Z2Z_2-even U(1) gauge field and the Z2Z_2-odd graviphoton take part in the U(1)RU(1)_R gauging. Based on the off-shell formulation of 5D supergravity, we analyze the structure of Fayet-Iliopoulos (FI) terms allowed in such model. Introducing a Z2Z_2-even U(1)RU(1)_R gauge field accompanies new bulk and boundary FI terms in addition to the known integrable boundary FI term which could be present in the absence of any gauged U(1)RU(1)_R symmetry. Some physical consequences of these new FI terms are examined.Comment: 1+17 pages, 9 figures, typeset in JHEP styl
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