scholarly journals Combinatorics inN=1Heterotic Vacua

2011 ◽  
Vol 2011 ◽  
pp. 1-11
Author(s):  
Seung-Joo Lee
Keyword(s):  
Large Class ◽  
Vector Bundles ◽  
Model Building ◽  
Toric Varieties ◽  
Algorithmic Strategy

We briefly review an algorithmic strategy to explore the landscape of heteroticE8×E8vacua, in the context of compactifying smooth Calabi-Yau threefolds with vector bundles. The Calabi-Yau threefolds are algebraically realised as hypersurfaces in toric varieties, and a large class of vector bundles are constructed thereon as monads. In the spirit of searching for standard-like heterotic vacua, emphasis is placed on the integer combinatorics of the model-building programme.

scholarly journals Toric Methods in F-Theory Model Building

2011 ◽  
Vol 2011 ◽  
pp. 1-18 ◽  
Author(s):  
Johanna Knapp ◽  
Maximilian Kreuzer
Keyword(s):  
Large Class ◽  
Software Package ◽  
Model Building ◽  
Theory Model ◽  
Toric Geometry ◽  
Basic Properties

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.

scholarly journals Vector bundles on toric varieties

2012 ◽  
Vol 350 (3-4) ◽  
pp. 209-212
Author(s):  
Saman Gharib ◽  
Kalle Karu
Keyword(s):  
Vector Bundles ◽  
Toric Varieties

scholarly journals Equivariant vector bundles and logarithmic connections on toric varieties

2013 ◽  
Vol 384 ◽  
pp. 227-241
Author(s):  
Indranil Biswas ◽  
Vicente Muñoz ◽  
Jonathan Sánchez
Keyword(s):  
Vector Bundles ◽  
Toric Varieties

The sense of presence in virtual environments:

2003 ◽  
Vol 15 (2) ◽  
pp. 69-71 ◽  
Author(s):  
Thomas W. Schubert
Keyword(s):  
Virtual Environments ◽  
Coding Theory ◽  
Model Building ◽  
Self Report ◽  
Survey Study ◽  
Spatial Presence ◽  
Component Structure ◽  
Sense Of Presence ◽  
Being There ◽  
Measure Sense

Abstract. The sense of presence is the feeling of being there in a virtual environment. A three-component self report scale to measure sense of presence is described, the components being sense of spatial presence, involvement, and realness. This three-component structure was developed in a survey study with players of 3D games (N = 246) and replicated in a second survey study (N = 296); studies using the scale for measuring the effects of interaction on presence provide evidence for validity. The findings are explained by the Potential Action Coding Theory of presence, which assumes that presence develops from mental model building and suppression of the real environment.

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