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The URL for this search is https://arxiv.org/find/grp_math,grp_physics/1/au:+Waldorf_Konrad/0/1/0/all/0/1

Showing results 1 through 25 (of 45 total) for au:Waldorf_Konrad

1. arXiv:2312.12998 [pdf, ps, other]

Title: String structures and loop spaces

Authors: Konrad Waldorf

Comments: 22 pages. Contribution to the Encyclopedia of Mathematical Physics (2nd edition). v2 has some small corrections

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Algebraic Topology (math.AT); Differential Geometry (math.DG)

2. arXiv:2308.05139 [pdf, ps, other]

Title: A representation of the string 2-group

Authors: Peter Kristel, Matthias Ludewig, Konrad Waldorf

Comments: 25 pages. This is an excerpt from our paper "The stringor bundle" (arxiv:2206.09797), which we intend to split

Subjects: Operator Algebras (math.OA); Mathematical Physics (math-ph); Differential Geometry (math.DG); Representation Theory (math.RT)

3. arXiv:2303.13176 [pdf, ps, other]

Title: Lie 2-groups from loop group extensions

Authors: Matthias Ludewig, Konrad Waldorf

Comments: 36 pages; v2 corrects Theorem 2.4.7, which is now Theorem 2.4.9

Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Algebraic Topology (math.AT)

4. arXiv:2207.11799 [pdf, ps, other]

Title: Geometric T-duality: Buscher rules in general topology

Authors: Konrad Waldorf

Comments: 67 pages. In v2 some typos and sign mistakes have been corrected; v2 is the published version

Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Algebraic Topology (math.AT)

5. arXiv:2206.09797 [pdf, ps, other]

Title: The stringor bundle

Authors: Peter Kristel, Matthias Ludewig, Konrad Waldorf

Comments: 68 pages. In v2 the title has been changed. The original title was "A representation of the string 2-group"; under this title a new paper will appear containing the content of section 3 of this paper, which will then be removed here

Subjects: Algebraic Topology (math.AT); Mathematical Physics (math-ph); Differential Geometry (math.DG); Operator Algebras (math.OA)

6. arXiv:2204.03900 [pdf, ps, other]

Title: The insidious bicategory of algebra bundles

Authors: Peter Kristel, Matthias Ludewig, Konrad Waldorf

Comments: 39 pages. Contains parts of arxiv:2106.12198v1, which we intent to split and will be modified

Subjects: Differential Geometry (math.DG); Algebraic Topology (math.AT); K-Theory and Homology (math.KT)

7. arXiv:2202.09187 [pdf, ps, other]

Title: Categorical symmetries of T-duality

Authors: Konrad Waldorf

Comments: 39pages. v2 has several smaller corrections and an improved introduction

Subjects: Algebraic Topology (math.AT); Mathematical Physics (math-ph)

8. arXiv:2106.12198 [pdf, ps, other]

Title: 2-vector bundles

Authors: Peter Kristel, Matthias Ludewig, Konrad Waldorf

Comments: 52 pages. In v2 we have moved a detailed discussion of bimodule bundles and their composition into a separate paper (arXiv:2204.03900), addressing there a problem that was present in v1 concerning the composition of bimodule bundles. Apart from that only smaller corrections

Subjects: Differential Geometry (math.DG); Algebraic Topology (math.AT); Rings and Algebras (math.RA)

9. arXiv:2012.08142 [pdf, ps, other]

Title: Connes fusion of spinors on loop space

Authors: Peter Kristel, Konrad Waldorf

Comments: 54 pages

Subjects: Operator Algebras (math.OA); Mathematical Physics (math-ph); Differential Geometry (math.DG)

10. arXiv:2012.05056 [pdf, ps, other]

Title: Pontrjagin duality on multiplicative Gerbes

Authors: Jaider Blanco, Bernardo Uribe, Konrad Waldorf

Comments: 43 pages. Accepted for publication in Journal of Noncommutative Geometry

Subjects: Algebraic Topology (math.AT); Category Theory (math.CT)

11. arXiv:2011.07336 [pdf, ps, other]

Title: Observation of multi-skyrmion objects created by size and density control in Ta/CoFeB/MgO films

Authors: Christian Denker, Sören Nielsen, Enno Lage, Malte Römer-Stumm, Hauke Heyen, Yannik Junk, Jakob Walowski, Konrad Waldorf, Markus Münzenberg, Jeffrey McCord

Comments: 21 pages, 4 figures plus supplementary

Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall)

12. arXiv:2009.00333 [pdf, ps, other]

Title: Smooth Fock bundles, and spinor bundles on loop space

Authors: Peter Kristel, Konrad Waldorf

Comments: 46 pages

Subjects: Representation Theory (math.RT); Mathematical Physics (math-ph)

13. arXiv:1911.09990 [pdf, ps, other]

Title: Smooth Functorial Field Theories from B-Fields and D-Branes

Authors: Severin Bunk, Konrad Waldorf

Comments: 66 pages, v3: Published in Journal of Homotopy and Related Structures

Journal-ref: Journal of Homotopy and Related Structures 16.1 (2021): 75-153

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Differential Geometry (math.DG)

14. arXiv:1905.00222 [pdf, ps, other]

Title: Fusion of implementers for spinors on the circle

Authors: Peter Kristel, Konrad Waldorf

Comments: 50 pages; v2: minor changes, small correction in Prop. A.1. v2 is the published and final version

Journal-ref: Adv. Math. Vol. 402 (2022), 108325

Subjects: Operator Algebras (math.OA); Differential Geometry (math.DG)

15. arXiv:1808.04894 [pdf, ps, other]

Title: Transgression of D-branes

Authors: Severin Bunk, Konrad Waldorf

Comments: 67 pages. V2 contains some minor corrections in Appendix A; v2 is the published version

Journal-ref: Adv. Theor. Math. Phys., Vol. 25, No. 5 (2021), pp. 1095-1198

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Differential Geometry (math.DG)

16. arXiv:1807.05398 [pdf, ps, other]

Title: Non-abelian gerbes and some applications in string theory

Authors: Christoph Schweigert, Konrad Waldorf

Comments: Contribution to "Particles, String and the Early Universe - Research Results of the Collaborative Research Centre SFB 676 in Hamburg"

Subjects: High Energy Physics - Theory (hep-th); Differential Geometry (math.DG)

17. arXiv:1804.00677 [pdf, ps, other]

Title: Higher geometry for non-geometric T-duals

Authors: Thomas Nikolaus, Konrad Waldorf

Comments: 57 pages, v2: typos corrected; v2 is the final and published version

Journal-ref: Commun. Math. Phys. 374, 317-366 (2020)

Subjects: Algebraic Topology (math.AT); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

18. arXiv:1704.08542 [pdf, ps, other]

Title: Parallel transport in principal 2-bundles

Authors: Konrad Waldorf

Comments: 60 pages

Journal-ref: Higher Structures 2(1):57-115, 2018

Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph)

19. arXiv:1608.00401 [pdf, ps, other]

Title: A global perspective to connections on principal 2-bundles

Authors: Konrad Waldorf

Comments: 42 pages. v2 comes with an additional lemma (2.2.5) about the pullback along a rank one map, and an additional section (5.4) providing a more thorough discussion of trivial bundles

Journal-ref: Forum Math. 30 (2017), no. 4, 809-843

Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph)

20. arXiv:1502.05089 [pdf, ps, other]

Title: Transgressive loop group extensions

Authors: Konrad Waldorf

Comments: 37 pages, 3 figures. In v2 the former Section 3.3 about Lie algebra splittings was withdrawn because of a gap in the proof of former Theorem 3.3.3. Best possible statement about Lie algebra splittings is now Proposition 4.9. In v3 typos and a mistake in Example 2.6 have been corrected; v3 is the published version

Journal-ref: Math. Z. (2016) 1-36

Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph)

21. arXiv:1403.5656 [pdf, ps, other]

Title: String geometry vs. spin geometry on loop spaces

Authors: Konrad Waldorf

Comments: 54 pages. In v2 two errorneous lemmata (2.3.3 and 3.1.3) have been removed, with corresponding changes in Prop. 2.3.4 and Def. 3.1.4 (now Prop. 2.3.3 and Def. 3.1.3, respectively); otherwise minor changes. v3 comes with few minor changes and is the published version

Journal-ref: J. Geom. Phys. 97 (2015), 190-226

Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Algebraic Topology (math.AT)

22. arXiv:1303.4663 [pdf, ps, other]

Title: Local Theory for 2-Functors on Path 2-Groupoids

Authors: Urs Schreiber, Konrad Waldorf

Comments: 47 pages. The content of this paper originally formed the Sections 1 and 2 of our paper "Connections on Non-Abelian Gerbes and their Holonomy" (arxiv:0808.1923)

Journal-ref: J. Homotopy Relat. Struct. (2016) pp1-42

Subjects: General Topology (math.GN); Category Theory (math.CT)

23. arXiv:1209.1731 [pdf, ps, other]

Title: Spin structures on loop spaces that characterize string manifolds

Authors: Konrad Waldorf

Comments: 30 pages. v2 comes with some minor corrections and improvements

Journal-ref: Algebr. Geom. Topol. 16 (2016) 675-709

Subjects: Algebraic Topology (math.AT); Mathematical Physics (math-ph)

24. arXiv:1202.5808 [pdf, ps, other]

Title: The gauging of two-dimensional bosonic sigma models on world-sheets with defects

Authors: Krzysztof Gawedzki, Rafal R. Suszek, Konrad Waldorf

Comments: 94 pages, 1 figure

Journal-ref: Rev. Math. Phys 25 (2013) 1350010

Subjects: High Energy Physics - Theory (hep-th)

25. arXiv:1201.5052 [pdf, ps, other]

Title: A Construction of String 2-Group Models using a Transgression-Regression Technique

Authors: Konrad Waldorf

Comments: 25 pages; v2 is the published version (with some minor corrections)

Journal-ref: Contemp. Math., Vol. 584, 99-115 (2012)

Subjects: Differential Geometry (math.DG); Algebraic Topology (math.AT)