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Symmetrical laws of structure of helicoidally-like biopolymers in the framework of algebraic topology. I. Root lattice E8 and the closed sequence of algebraic polytopes
[article]
2012
arXiv
pre-print
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These polytopes were determined by the second coordination sphere of 8-dimensional lattice E8. ...
by the lattice E8. ...
The algebraic polytopes and rod substructures in E 3 .Each of the 240 vectors of the first coordination sphere of the system E 8 , which determine the vertices of the eight dimensional Gosset polytope, ...
arXiv:1211.3686v1
fatcat:6detc4j4xvehlpppxjf6vjpope
Aspects of Symmetry, Topology and Anomalies in Quantum Matter
[article]
2016
arXiv
pre-print
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In this thesis, we explore the aspects of symmetry, topology and anomalies in quantum matter with entanglement from both condensed matter and high energy theory viewpoints. ...
The focus of our research is on the gapped many-body quantum systems including symmetry-protected topological states and topologically ordered states. Chapter 1. Introduction. Chapter 2. ...
E8 lattices E8 , namely, 0 × = (︀ 0 1 1 0 )︀ ⊕ (︀ 0 1 1 0 )︀ ⊕ . . . . (5.54) ± × = 0 ⊕ (± E8 ) ⊕ (± E8 ) ⊕ . . . ...
arXiv:1602.05569v1
fatcat:kwgoiznwxbhejdewg63udo24hq
Toric Geometry and String Theory
[article]
2006
arXiv
pre-print
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on the moduli space of holomorphic maps with involution, and the topological vertex. ...
We determine the BPS structure of the amplitudes, and illustrate our general results in various examples with and without D-branes. ...
Any complete triangulation of the surface of ∆ * defines a fan Σ whose three dimensional cones are just the cones over the regular (i.e., lattice volume one) triangles. ...
arXiv:hep-th/0609123v1
fatcat:ci37n7gqyfgdhdzd565fghne2y
Landscaping with fluxes and the E8 Yukawa Point in F-theory
[article]
2014
arXiv
pre-print
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The explicit resolution of the singularity introduce a higher dimensional fiber and leads to novel features. ...
Integrality in the Hodge theory of Calabi-Yau fourfolds is essential to find the vacuum structure and the anomaly cancellation mechanism of four dimensional F-theory compactifications. ...
D.V.L. was also supported by the PDJ fellowship of CNPq, grant number 501107/2012-6. ...
arXiv:1404.7645v1
fatcat:pnxfnu4c2jcvzbsdznmuartg44
$E_8$ gauge theory, and a derivation of $K$-theory from $M$-theory
2002
Advances in Theoretical and Mathematical Physics
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The partition function of Ramond-Ramond p-form fields in Type IIA supergravity on a ten-manifold X contains subtle phase factors that are associated with T-duality, self-duality, and the relation of the ...
We analyze the detailed phase factors on the two sides and show that they agree, thereby testing M-theory/Type IIA duality as well as the Jf-theory formalism in an interesting way. ...
One simply sets where here * is the Hodge duality operator. Associated with the lattice F is a torus T = A/T where A is the vector space F ®z R. ...
doi:10.4310/atmp.2002.v6.n6.a2
fatcat:fiswn4nxszgsdf2i5cq7fg7jxm
E8 Gauge Theory, and a Derivation of K-Theory from M-Theory
[article]
2004
arXiv
pre-print
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The analogous partition function of M-theory on X x S1 contains subtle phases that are similarly associated with E8 gauge theory. ...
The partition function of Ramond-Ramond p-form fields in Type IIA supergravity on a ten-manifold X contains subtle phase factors that are associated with T-duality, self-duality, and the relation of the ...
The positive or negative chirality spinors of the normal bundle are hence trivial rank eight bundles, and the number of zero modes of the Dirac operator of the world-volume fermions is divisible by eight ...
arXiv:hep-th/0005090v3
fatcat:7w53ahtb6rahhdik4bxfmnwka4
Origin of Abelian gauge symmetries in heterotic/F-theory duality
2016
Journal of High Energy Physics
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mechanism in the lower-dimensional effective theory. ...
While the number of geometrically massless U(1)'s is determined entirely by geometry on the F-theory side, on the heterotic side the correct number of U(1)'s is found by taking into account a Stuckelberg ...
Acknowledgments It is a pleasure to thank Hernan Piragua for initial collaboration at early stages of this project. We thank L. Anderson ...
doi:10.1007/jhep04(2016)041
fatcat:kb5caccbfbeuhg63cp3pqqeg4i
Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries
2018
Physical review B
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, and Dirac quantization conditions. ...
We show that an important ingredient for the construction of the many-body topological invariants is a fermionic partial transpose which is basically the standard partial transpose equipped with a sign ...
Lapa and Xueda Wen for useful discussions. This work was supported in part by the National Science Foundation grant DMR 1455296. K.S. is supported by RIKEN Special Postdoctoral Researcher Program. ...
doi:10.1103/physrevb.98.035151
fatcat:7sbizfb4sbbcfeoxi5kwexj5sa
SU(5) tops with multiple U(1)s in F-theory
2014
Nuclear Physics B
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We analyse the local limit of our SU(5) x U(1) x U(1) models and show that one of our models is not embeddable into E8 due to recombination of matter curves that cannot be described as a Higgsing of E8 ...
and a class of gauge fluxes. ...
Acknowledgements We thank Sakura Schäfer-Nameki and Thomas Grimm for very interesting and useful discussions regarding the local limit of the model presented in [47] . ...
doi:10.1016/j.nuclphysb.2014.02.006
fatcat:svfunqhfafclhijudakwwgbmle
Chern-Simons theory on spherical Seifert manifolds, topological strings and integrable systems
2018
Advances in Theoretical and Mathematical Physics
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Mathematically, our results put forward an identification between the 1/N expansion of the sl N +1 LMO invariant of S Γ and a suitably restricted Gromov-Witten/Donaldson-Thomas partition function on the ...
Guided by string theory dualities, we propose a large N dual description in terms of both A-and B-twisted topological strings on (in general non-toric) local Calabi-Yau threefolds. ...
The work of G.B. benefits from the support of the Max-Planck Gesellschaft. The work of A.B. is partially supported by the GNFM-INdAM. 2 Chern-Simons theory and Seifert spaces ...
doi:10.4310/atmp.2018.v22.n2.a2
fatcat:k5g6eoim4ra4ll5lndykfanw2q
Chern-Simons theory on spherical Seifert manifolds, topological strings and integrable systems
[article]
2015
arXiv
pre-print
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2015 pre-print arXiv:1506.06887v1 fatcat:n3dlnwkmsnb6vaz2mt5q4mpdfi
Mathematically, our results put forward an identification between the 1/N expansion of the sl_N + 1 LMO invariant of S^Γ and a suitably restricted Gromov-Witten/Donaldson-Thomas partition function on the ...
Guided by string theory dualities, we propose a large N dual description in terms of both A- and B-twisted topological strings on (in general non-toric) local Calabi-Yau threefolds. ...
P 1 yields a pure gauge field theory in d = 4 with eight supercharges and no hypermultiplets as the effective four-dimensional theory. ...
arXiv:1506.06887v2
fatcat:a2nh72ekm5d6lfnfuoeq7ir2oi
A slow review of the AGT correspondence
[article]
2022
arXiv
pre-print
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This 6d construction yields the Coulomb branch and Seiberg-Witten geometry of class S theories, geometrizes S-duality, and leads to the AGT correspondence, which states that many observables of class S ...
This is an extended writeup of the lectures given at the Winter School YRISW 2020, to appear in a special issue of JPhysA. ...
Acknowledgments First, many thanks to Jaume Gomis for guiding me through basics of the AGT correspondence starting a decade ago, and to my other coauthors on AGT-related papers for ...
arXiv:2006.14025v3
fatcat:6aaptyl5vvhirdzitvcriz67ze
5d SCFTs from decoupling and gluing
2020
Journal of High Energy Physics
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Finally, inspired by the quiver structure of 6d theories, we propose a gluing construction for 5d SCFTs from building blocks and their CFDs. ...
In the M-theory realization the latter case corresponds to decompactification of a set of compact surfaces in the Calabi-Yau threefold. ...
This work is supported by the ERC Consolidator Grant number 682608 "Higgs bundles: Supersymmetric Gauge Theories and Geometry (HIGGSBNDL)". plot the configuration of curves in figure 13 . ...
doi:10.1007/jhep08(2020)153
fatcat:fyv637bacbaybfk5hivw4x3xla
5d SCFTs from Decoupling and Gluing
[article]
2020
arXiv
pre-print
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Finally, inspired by the quiver structure of 6d theories, we propose a gluing construction for 5d SCFTs from building blocks and their CFDs. ...
In the M-theory realization the latter case corresponds to decompactification of a set of compact surfaces in the Calabi-Yau threefold. ...
Rudelius, and G. Zafrir for discussions. This work is supported by the ERC Consolidator Grant number 682608 "Higgs bundles: Supersymmetric Gauge Theories and Geometry (HIGGSBNDL)". ...
arXiv:1912.04264v4
fatcat:uke4t7mbqzdpjh6ucwoo5wvkni
Axion Dark Matter Research with IBS/CAPP
[article]
2019
arXiv
pre-print
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In this report, the current status and future prospects of the experiments and R&D activities at IBS/CAPP are described. ...
The axion, a consequence of the PQ mechanism, has been considered as the most elegant solution to the strong-CP problem and a compelling candidate for cold dark matter. ...
The reason that the "invisible" axion from U(1) anom has N DW = 1 is because N from E8×E 8 = large integer but N MI axion = 1 [57, 42], and N from E8×E 8 and N MI axion are relatively prime. ...
arXiv:1910.11591v1
fatcat:idrtyj7cmvfnrgoitswja5ncf4
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