Radius Stabilization in a Supersymmetric Warped Compactification

A supersymmetric (SUSY) model of radius stabilization is constructed for the S^1/Z_2 warped compactifications with a hypermultiplet in five dimensions. Requiring the continuity of scalar field across the boundaries, we obtain radius stabilization preserving SUSY, realizing the SUSY extension of the Goldberger-Wise mechanism. Even if we allow discontinuities of the Z_2 odd field across the boundary, we always obtain SUSY preservation but obtain the radius stabilization only when the discontinuity is fixed by other mechanism.Comment: 6 pages, revtex, Errors of the products of distributions are corrected and the results are reanalyzed, references added, final version to appear in PR

Two loop finiteness of Higgs mass and potential in the gauge-Higgs unification

The zero mode of an extra-dimensional component of gauge potentials serves as a 4D Higgs field in the gauge-Higgs unification. We examine QED on $M^4 \times S^1$ and determine the mass and potential of a 4D Higgs field (the $A_5$ component) at the two loop level with gauge invariant reguralization. It is seen that the mass is free from divergences and independent of the renormalization scheme.Comment: 18 pages, 1 figur

Flavor Mixing in the Gauge-Higgs Unification

Gauge-Higgs unification is the fascinating scenario solving the hierarchy problem without supersymmetry. In this scenario, the Standard Model (SM) Higgs doublet is identified with extra component of the gauge field in higher dimensions and its mass becomes finite and stable under quantum corrections due to the higher dimensional gauge symmetry. On the other hand, Yukawa coupling is provided by the gauge coupling, which seems to mean that the flavor mixing and CP violation do not arise at it stands. In this talk, we discuss that the flavor mixing is originated from simultaneously non-diagonalizable bulk and brane mass matrices. Then, this mechanism is applied to various flavor changing neutral current (FCNC) processes via Kaluza-Klein (KK) gauge boson exchange at tree level and constraints for compactification scale are obtained.Comment: 5 pages, prepared for the proceedings of the International Workshop on Grand Unified Theories (GUT2012) held at Yukawa Institute for Theoretical Physics, March 15-17 2012, Kyoto, Japa

Decoupling Solution to SUSY Flavor Problem via Extra Dimensions

We discuss the decoupling solution to SUSY flavor problem in the fat brane scenario. We present a simple model to yield the decoupling sfermion spectrum in a five dimensional theory. Sfermion masses are generated by the overlap between the wave functions of the matter fields and the chiral superfields on the SUSY breaking brane. Two explicit examples of the spectrum are given.Comment: 8 pages, LaTe

Cultural Continuity and Change: A Study of the Sixteen Samskaras in Modern Hindu Society

This paper explores the cultural continuity and changes surrounding the sixteen samskaras within modern Hindu society. Drawing from a synthesis of scholarly works and classical texts, the study examines the historical significance and contemporary relevance of these rituals. Ramaswami Aiyer, Pandey, and Shelat provide foundational insights into the cultural heritage of India, emphasizing the enduring nature of the samskaras and their role in shaping Hindu identity. Shrutiprakashdas, Dave, Shukla, Vivekpriyadas, and Gnaneshwardas offer philosophical, sociological, and cultural perspectives, elucidating the spiritual dimensions and adaptive qualities of these ceremonies in response to societal shifts. Through an analysis of these sources, this paper seeks to understand how the sixteen samskaras continue to uphold tradition while accommodating changes in modern Hindu society. The Sixteen Samskaras, deeply rooted in Hindu philosophy and tradition, represent a series of sacred rites of passage that mark significant milestones in an individual’s life journey. These rituals, spanning from conception to cremation, play a vital role in shaping the spiritual and cultural identity of Hindus across different regions and communities. Each samskara is imbued with profound meaning and symbolism, reflecting the rich tapestry of beliefs and practices that define Hinduism