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Holographic Conformal Window We proposed a five-dimensional framework for modeling the background geometry associated to (super) Yang-Mills (YM) as well as to nonsupersymmetric gauge theories possessing an infrared fixed point with fermions in various representations of the underlying gauge group. We investigated the effects of adding flavors and have shown that, in the holographic description of the conformal window, the geometry becomes AdS when approaching the ultraviolet and the infrared regimes. As the number of flavors increases within the conformal window we observed that the geometry becomes more and more of AdS type over the entire energy range. [Holographic Conformal Window - A Bottom Up Approach. Matti Jarvinen, Francesco Sannino, . CP3-ORIGINS:2009-23, Nov 2009. e-Print: arXiv:0911.2462 [hep-ph], Submitted for publication] Constraints on Conformal Windows from Holographic Duals. Oleg Antipin, Kimmo Tuominen,. P3-ORIGINS-2009-25, Dec 2009. 19pp. e-Print: arXiv:0912.0674 [hep-ph]] Lattice for Technicolor We presented results from high precision, large volume simulations of the lattice gauge theory corresponding to minimal walking technicolor. We find evidence that the pion decay constant vanishes in the infinite volume limit and that the dependence of the chiral condensate on quark mass is inconsistent with spontaneous symmetry breaking. These findings are consistent with the all-orders beta function prediction as well as the Schroedinger functional studies that indicate the existence of a nontrivial infrared fixed point. [Probes of nearly conformal behavior in lattice simulations of minimal walking technicolor. Simon Catterall, (Syracuse U.) , Joel Giedt, (Rensselaer Poly.) , Francesco Sannino, (Southern Denmark U., CP3-Origins) , Joe Schneible, (Syracuse U.) . CP3-ORGINS:-2009-14, Oct 2009. 16pp. e-Print: arXiv:0910.4387. Submitted for publication] For the future our research plan is to: • Develop new analytic tools to attack nonperturbative dynamics. These include the aforementioned beta function, extradimensional approaches derived from string theory as well as alternative large number of colors limits. • Fully investigate the phase diagram also as function of temperature, matter density and with multiple matter representations. • Extend the calculations of gauge theories with fermions in higher-dimensional representations to large lattices and smaller lattice spacings. The phase diagram of strongly coupled theories has an immediate impact upon the construction of sensible extensions of the SM. The dynamical breaking of the electroweak symmetry is a time-honoured example. Cosmology will be impacted as well if technibaryons are the cold dark matter candidates as mentioned earlier. Their properties would very much help cosmologists since details about their interactions with ordinary matter could be derived via first principle computations. Last but not least, charting out the phase diagram is of the utmost importance for QCD and hence for the heavy ion programme at the LHC. Our group together with its close collaborators unites expertise relevant for studying the theory and phenomenology of nucleus-- nucleus collisions, and to explore matter in extreme conditions. Beyond Particle Physics CP³-Black book 17
The geometry group at SDU provides the mathematical soul of the centre and is involved in providing a strong training in mathematics and complementary expertise for the high energy component. SM extensions have a significant mathematical content, particularly in the form of differential geometry, Lie group theory and topology. We report below some of their scientific output and ongoing research. Hyperkähler Modifications We investigated a general framework for cutting constructions and reinterpret in this setting the work on non-Abelian symplectic cuts by Weitsman. We then introduced two analogous non- Abelian modification constructions for hyperkähler manifolds: one modifies the topology significantly, the other gives metric deformations. We highlighted ways in which the geometry of moment maps for non-Abelian hyperkähler actions differs from the Abelian case and from the non-Abelian symplectic case. [Non-Abelian Cut Constructions and Hyperkähler Modifications. Andrew Dancer (Oxford), Andrew Swann (IMADA & CP3-Origins), arXiv:1002.1837. Submitted for Publication] Harmonic Maps We used filtrations of the Grassmannian model to produce explicit algebraic formulae for harmonic maps of finite uniton number from a Riemann surface to the unitary group for a general class of factorizations by unitons. We showed how these specialize to give explicit formulae for harmonic maps into the special orthogonal and symplectic groups, real, complex and quaternionic Grassmannians, and the spaces SO(2m)/U(m) and Sp(n)/U(n), i.e., all the classical compact Lie groups and their inner symmetric spaces. Our methods also give explicit J_2- holomorphic lifts for harmonic maps into Grassmannians and an explicit Iwasawa decomposition. [Filtrations, factorizations and explicit formulae for harmonic maps. Martin Svensson (IMADA & CP 3 -Origins), John C. Wood (Leeds), arXiv:1002.1837. Submitted for Publication] Strong KT geometry A strong KT (SKT) manifold consists of a Hermitian structure whose torsion three-form is closed. We classified the invariant SKT structures on four-dimensional solvable Lie groups. The classification includes solutions on groups that do not admit compact four-dimensional quotients. It also shows that there are solvable groups in dimension four that admit invariant complex structures but have no invariant SKT structure. [Invariant strong KT geometry on four-dimensional solvable Lie groups. Thomas Bruun Madsen (IMADA and CP 3 -Origins) and Andrew Swann (IMADA and CP 3 -Origins), IMADA-PP-2009-16, CP3- ORIGINS: 2009-22,arXiv:0911.0535v1 [math.DG]. Submitted for Publication] We will continue investigating the geometric structure of the Standard Model and its extensions. One interesting example is the topological structure of generic models of dynamical electroweak symmetry breaking. The physics of these topological terms can be investigated at the LHC. CP³-Black book 18
Page 1 and 2: Black book Uncovering the origins
Page 4 and 5: Table of Contents The Revolutions t
Page 6 and 7: The Revolutions to Come Mankind’s
Page 8 and 9: Unification of the Forces: Why do w
Page 10 and 11: Advisory Board To insure the maximu
Page 12 and 13: • Lisa Carloni (Lund University)
Page 14 and 15: Professor Paul Hoyer from Helsinki
Page 16 and 17: Roadmap The centre is designed to c
Page 18 and 19: [iTIMP: isotriplet Technicolor Inte
Page 20 and 21: CP violation is also relevant for c
Page 24 and 25: Milestones Scientific The roadmap c
Page 26 and 27: • Be able to acquire the required
Page 28 and 29: CP 3 -Origins Poster Collection PhD
Page 30 and 31: C P 3 - O r i g i n s Origins of Da
Page 32 and 33: Origin of Mass 2010 Understanding w
Page 34 and 35: Personnel Overview 01.09-31.12.2009
Page 36 and 37: Appendix Appendix A: External Relat
Page 38 and 39: Appendix B: Conferences Please outl
Page 40 and 41: Appendix C: Educational activities
Page 42 and 43: Appendix E: External funding Please
Page 44 and 45: Appendix I: Publications The follow
Page 46 and 47: Peer-reviewed proceedings Num ber Y
Page 48 and 49: Research Staff From left to right:

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