Systematic Analysis of SemiRealistic String Compactifications Herbie Smith

, , Systematic Analysis of Semi-Realistic String Compactifications Herbie Smith, Prof. Per Berglund Department of Physics, University of New Hampshire, Durham, NH Introduction Modern Physics Our Research Ongoing Research Problem Swiss Cheese Search Two regimes: general relativity for large scale phenomena and quantum mechanics for small scale phenomena Identify Calabi-Yau manifolds that previous research suggests could resemble our cosmology and particle physics [2]. Regimes cannot be mixed Extend the scope of previous work to find such models [3]. String Theory Fundamental theory of physics Analyze physical implications of these models. Extending search for Swiss Cheese manifolds. New models: more Kahler moduli, non-simplicial Making the search comprehensive Higher Dimensions Method Describes both cosmology and particle physics Requires ten dimensions Devise algorithms to analyze Calabi-Yau manifolds constructed from four-dimensional reflexive polyhedra [4]. Six dimensions are compactified Focus on promising cosmological models originally studied in [2], called Swiss Cheese Calabi-Yau manifolds. Extension to higher dimensions Applications to F-Theory—contains two additional auxiliary dimensions Seek models with del Pezzo content, which gives rise to particle physics. Swiss Cheese Example. The volume for a model with two Kahler moduli, ti: Define four-cycles, τi, as derivatives of volume with respect to two-cycles: Model is Swiss Cheese if there exists a basis of four-cycles that can be written as a perfect square in terms of two-cycles. In this case: Results Figure 1: Projection of a Calabi-Yau manifold. Figure 2: Illustration of D-branes confined to a singularity in a Calabi-Yau caused by a collapsing del Pezzo divisor. Devised several important algorithms: Extra Dimensions Compactify on Calabi-Yau manifolds [1]. Shape and size of a Calabi-Yau effect string interactions and the evolving universe. Potential energy of the universe depends on volume and shape of Calabi-Yau, with shape fixed by generalized magnetic fluxes. Potential energy determines the early universe, inflation, current accelerated expansion, and fate of the universe. Construction of any Calabi-Yau manifold Extension of Swiss Cheese search capabilities Future Work – Physical Implications Identification of del Pezzo content Study cosmology of Swiss Cheese Calabi-Yau manifolds State of the art allows identification of Swiss Cheese manifolds with fewer than 4 Kahler moduli. Results from those searches: # Kahler moduli # Calabi-Yau # Swiss Cheese with manifolds del Pezzo content 2 39 22 21 3 307 67 65 References 1) B. Greene. String Theory on Calabi-Yau Manifolds. Proceedings TASI-96, World Scientific (1997). 2) V. Balasubramanian, P. Berglund, J. P. Conlon, F. Quevedo. Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications. JHEP 0503 (2005) 007. 3) M. Kreuzer, H. Skarke. Complete Classification of Reflexive Polyhedra in Four Dimensions. Adv. Theor. Math. Phys. 4 (2002) 1209. 4) J. Gray, Y. H. He, V. Jejjala, B. Jurke, B. D. Nelson, J. Simón. Calabi-Yau Manifolds with Large-Volume Vacua. Phys. Rev. D 86 (2012) 101901. Study particle physics from embedded del Pezzo content Attempt to identify models with cosmology and particle physics that resemble our universe Journal article outlining findings to appear Acknowledgments We thank E. Ebrahim for collaborations, and the Hamel Center for Undergraduate Research, the Mc. Nair Program, and NSF grant PHY-1207895 for financial support.