Relevant bibliographies by topics / Chern-Simons forms

Academic literature on the topic 'Chern-Simons forms'

Author: Grafiati
Published: 10 December 2022
Last updated: 29 January 2023

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Journal articles on the topic "Chern-Simons forms"

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Hamdan, Suhaivi, Defrianto Defrianto, Erwin Erwin, and Saktioto Saktioto. "Topological Gravity of Chern-Simons-Antoniadis-Savvidy in 2+1 Dimensions." Journal of Aceh Physics Society 9, no. 3 (September 1, 2020): 65–71. http://dx.doi.org/10.24815/jacps.v9i3.16635.

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Pada artikel ini akan ditunjukan analisa dari perluasan gauge invariant exact dan metric independent untuk menkontruksi lower-rank field-strength tensor. Hasil ini akan digunakan untuk mengkontruski ulang Chern-Simons-Antoniadis-Savvidy formasi (2n+1) pada dimensi genap dengan menggunakan pendekatan diferensial geometri. Selanjutnya akan dianalisa bentuk topological gravitasi 2-dimensi yang merupakan perluasan dari teorema Chern-Weil yang telah dikembangkan oleh Izurieta-Munoz-Salgado. Hasil dari penelitian ini memperlihatkan bahwa aksi Lagrangian yang sama seperti pada topological gravitasi Chern-Simons forms pada dimensi (2n+1) invariant terhadap Poincare group SO(D−1,1) SO(D−1,2). This article determine and analyess of the extended gauge invariant exact and metric independent to construct the lower-rank field-strength tensor. These results used to construct Chern-Simons-Antoniadis-Savvidy (2n+1)-forms even dimensions using a differential geometry approach. This result analyzed 2-dimensional topological gravity forms that extended Chern-Weil theorem which has been developed by Izurieta-Munoz-Salgado. These results show similary topological gravity Lagrangian action of Chern-Simons forms (2n+1)-dimension invariant under Poincare group SO(D−1,1) SO(D−1,2).Keywords: Gauge theory, field-strength tensor, Chern-Weill theorem, Chern-Simons-Antoniadis-Savvidy forms, topological gravity
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Konitopoulos, Spyros, and George Savvidy. "Extension of Chern-Simons forms." Journal of Mathematical Physics 55, no. 6 (June 2014): 062304. http://dx.doi.org/10.1063/1.4882086.

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Balcerzak, Bogdan. "Chern–Simons forms for ℝ-linear connections on Lie algebroids." International Journal of Mathematics 29, no. 13 (December 2018): 1850094. http://dx.doi.org/10.1142/s0129167x18500945.

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This paper considers the Chern–Simons forms for [Formula: see text]-linear connections on Lie algebroids. A generalized Chern–Simons formula for such [Formula: see text]-linear connections is obtained. We apply it to define the Chern character and secondary characteristic classes for [Formula: see text]-linear connections of Lie algebroids.
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Hamdan, Suhaivi, Erwin Erwin, and Saktioto Saktioto. "Chern-Simons-Antoniadis-Savvidy Forms and Non-Abelian Anomaly." Journal of Aceh Physics Society 8, no. 1 (January 21, 2019): 11–15. http://dx.doi.org/10.24815/jacps.v8i1.12796.

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Kuat medan tensor yang ditransformasikan secara homogen terhadap perluasan transformasi gauge memenuhi bentuk sifat invarian gauge. Analisa invarian gauge dalam bantuk integeralnya memperlihatkan hubungan dengan koordinat ruang-waktu yang menunjukan bentuk baru dari topologi Lagrangian. Sifat invarian dari bentuk Pontryagin-Chern terhadap kuat medan tensor non-Abelian dan lemma Poincare dapat digunakan untuk mengkontruksi bentuk ChSAS yang menunjukan sifat quasi-invarian dibawah transformasi gauge. Artikel ini bertujuan untuk membuktikan bahwa kuat medan tensor Yang-Mills dari bentuk ChSAS memilik variasi gauge anomali non-Abelian seperti pada bentuk Chern-Simons. Integrasi bentuk ChSAS menghasilkan dimensi-4, 6 dan 8 variasi gauge genap dan memperlihatkan hubungan dengan bentuk Chern-Simons dimensi-3 dan 5 untuk variasi gauge ganjil. Bentuk ChSAS memperlihatkan variabel lebih kompleks yang menujukan sifat berosilasi. Tensors field strength transformation homogeneously to extend gauge transformation fulfilling charateristic gauge invariant form. Analysis gauge invariant in integral form shows corresponding with space-time coordinate that prove new topology Lagrangians form. Furthermore invariant charateristic of Pontryagin-Chern to non-Abelian tensor gauge fields and lemma Poincare used to contruct ChSAS forms which shows quasi-inavriant under gauge transformation. This paper aims to prove Yang-Mills tensor gauge field of ChSAS forms has variation non-Abelian anomaly like Chern-Simons forms. The integration ChSAS forms resulted 4, 6 and 8-dimensional even gauge variation which also correspond 3 and 5-dimensional odd gauge variation Chern-Simons forms. The ChSAS forms also showed complex variable and osilation. Keywords: Pontryagin-Chern, Kuat medan tensor non-Abelian, Chern-Simans-Antoniadis-Savvidy, Anomali Non-Abelian.
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Zanelli, Jorge. "Chern–Simons forms in gravitation theories." Classical and Quantum Gravity 29, no. 13 (May 25, 2012): 133001. http://dx.doi.org/10.1088/0264-9381/29/13/133001.

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Tradler, Thomas, Scott O. Wilson, and Mahmoud Zeinalian. "An elementary differential extension of odd K-theory." Journal of K-Theory 12, no. 2 (April 4, 2013): 331–61. http://dx.doi.org/10.1017/is013002018jkt218.

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AbstractThere is an equivalence relation on the set of smooth maps of a manifold into the stable unitary group, defined using a Chern-Simons type form, whose equivalence classes form an abelian group under ordinary block sum of matrices. This construction is functorial, and defines a differential extension of odd K-theory, fitting into natural commutative diagrams and exact sequences involving K-theory and differential forms. To prove this we obtain along the way several results concerning even and odd Chern and Chern-Simons forms.
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Green, Michael B. "Super-translations, superstrings and Chern-Simons forms." Physics Letters B 223, no. 2 (June 1989): 157–64. http://dx.doi.org/10.1016/0370-2693(89)90233-5.

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Bartocci, Claudio, Ugo Bruzzo, and Giovanni Landi. "Chern–Simons forms on principal superfiber bundles." Journal of Mathematical Physics 31, no. 1 (January 1990): 45–54. http://dx.doi.org/10.1063/1.528826.

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de Azcárraga, J. A., A. J. Macfarlane, and J. C. Pérez Bueno. "Effective actions, relative cohomology and Chern-Simons forms." Physics Letters B 419, no. 1-4 (February 1998): 186–94. http://dx.doi.org/10.1016/s0370-2693(97)01434-2.

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Izaurieta, F., P. Salgado, and S. Salgado. "Chern–Simons–Antoniadis–Savvidy forms and standard supergravity." Physics Letters B 767 (April 2017): 360–65. http://dx.doi.org/10.1016/j.physletb.2017.02.016.

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Dissertations / Theses on the topic "Chern-Simons forms"

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Valdivia, Omar. "Transgression forms as source for topological gravity and Chern-Simons-Higgs theories." Thesis, Heriot-Watt University, 2014. http://hdl.handle.net/10399/2947.

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Dolivet, Yacine. "Dualités, construction de modèles et polynômes biorthogonaux en théorie des supercordes." Paris 6, 2007. http://www.theses.fr/2007PA066597.

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Dans le premier chapitre de cette thèse nous développons des règles formelles pour l'oxydation et la réduction dimensionnelle de théories incluant le secteur bosonique des théories de supergravité. Ceci nous permet de mettre en évidence la symétrie de leurs équations du mouvement sous des superalgèbres de Borcherds. Nous présentons ensuite une construction explicite du groupe de dualité non-perturbatif SU(4,n) des modèles de corde avec supersymétrie d'espace-temps N=6 en dimension trois ainsi qu'une discussion de la c-map pour plusieurs modèles perturbatifs exacts de cordes obtenus par la construction fermionique. Enfin, nous effectuons des rappels sur la théorie de Chern-Simons et le lien existant avec les modèles de matrices. On y présente nos résultats sur la construction des polynômes biorthogonaux de Stieltjes-Wigert qui sont utiles à l'étude de la théorie de Chern-Simons formulée sur les espaces lenticulaires.
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Schlegel, Vincent Sebastian. "The Caloron correspondence and odd differential k-theory." Thesis, 2013. http://hdl.handle.net/2440/83273.

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The caloron correspondence (introduced in [32] and generalised in [25, 33, 41]) is a tool that gives an equivalence between principal G-bundles based over the manifold M x S¹ and principal LG-bundles on M, where LG is the Frechet Lie group of smooth loops in the Lie group G. This thesis uses the caloron correspondence to construct certain differential forms called string potentials that play the same role as Chern-Simons forms for loop group bundles. Following their construction, the string potentials are used to define degree 1 differential characteristic classes for ΩU(n)-bundles. The notion of an Ω vector bundle is introduced and a caloron correspondence is developed for these objects. Finally, string potentials and Ω vector bundles are used to define an Ω bundle version of the structured vector bundles of [38]. The Ω model of odd differential K-theory is constructed using these objects and an elementary differential extension of odd K-theory appearing in [40].
Thesis (M.Phil.) -- University of Adelaide, School of Mathematical Sciences, 2013
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Book chapters on the topic "Chern-Simons forms"

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Zanelli, Jorge. "Chern–Simons Forms and Gravitation Theory." In Modifications of Einstein's Theory of Gravity at Large Distances, 289–310. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10070-8_11.

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Connes, Alain, Bernard de Wit, Antoine Van Proeyen, Sergey Gukov, Rafael Hernandez, Pablo Mora, Anatoli Klimyk, et al. "Chern–Simons Form." In Concise Encyclopedia of Supersymmetry, 87. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_103.

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"Chern-Simons Forms." In Topics in Contemporary Mathematical Physics, 533–51. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814667814_0042.

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"Chern-Simons Forms." In Topics in Contemporary Mathematical Physics, 533–51. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812775443_0042.

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"Decomposition of Witten-Reshetikhin-Turaev invariant: Linking pairing and modular forms." In Chern-Simons Gauge Theory: 20 Years After, 131–51. Providence, Rhode Island: American Mathematical Society, 2011. http://dx.doi.org/10.1090/amsip/050/07.

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"Chern-Simons Forms: The Fractional Quantum Hall Effect, Anyons and Knots." In Non-Relativistic Quantum Theory, 413–28. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814271806_0044.

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Bertlmann, Reinhold A. "Chern–Simons form, homotopy operator and anomaly." In Anomalies in Quantum Field Theory, 321–41. Oxford University Press, 2000. http://dx.doi.org/10.1093/acprof:oso/9780198507628.003.0007.

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Conference papers on the topic "Chern-Simons forms"

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Zanelli, Jorge. "GRAVITATION THEORY AND CHERN-SIMONS FORMS." In Proceedings of the 2011 Villa de Leyva Summer School. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814460057_0004.

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