220 research outputs found
Toric Methods in F-theory Model Building
In this review article we discuss recent constructions of global F-theory GUT
models and explain how to make use of toric geometry to do calculations within
this framework. After introducing the basic properties of global F-theory GUTs
we give a self-contained review of toric geometry and introduce all the tools
that are necessary to construct and analyze global F-theory models. We will
explain how to systematically obtain a large class of compact Calabi-Yau
fourfolds which can support F-theory GUTs by using the software package PALP.Comment: 19 pages. Prepared for the special issue "Computational Algebraic
Geometry in String and Gauge Theory" of Advances in High Energy Physics, v2:
references added, typos correcte
-symmetry and background independence of noncommutative gauge theory on
Background independence of noncommutative Yang-Mills theory on
is discussed. The quantity is found to be
background dependent at subleading order, and it becomes background independent
only when the ordinary gauge field strength is constant. It is shown that,
at small values of , the noncommutative Dirac-Born-Infeld action possesses
-symmetry at least to subleading order in if damps fast
enough at infinity.Comment: 16 pages, LaTeX2e, minor revisions (version published in JHEP
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