Spin cobordism and the gauge group of type I/heterotic string theory
Abstract Cobordism offers a unique perspective into the non-perturbative sector of string theory by demanding the absence of higher form global symmetries for quantum gravitational consistency. In this work we compute the spin cobordism groups of the classifying space of Spin(32)/ℤ2 relevant to desc...
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2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)181 |
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| author | Christian Kneißl |
| author_facet | Christian Kneißl |
| author_sort | Christian Kneißl |
| collection | DOAJ |
| description | Abstract Cobordism offers a unique perspective into the non-perturbative sector of string theory by demanding the absence of higher form global symmetries for quantum gravitational consistency. In this work we compute the spin cobordism groups of the classifying space of Spin(32)/ℤ2 relevant to describing type I/heterotic string theory and explore their (shared) non-perturbative sector. To facilitate this we leverage our knowledge of type I D-brane physics behind the related ko-homology. The computation utilizes several established tools from algebraic topology, the focus here is on two spectral sequences. First, the Eilenberg-Moore spectral sequence is used to obtain the cohomology of the classifying space of the Spin(32)/ℤ2 with ℤ2 coefficients. This will enable us to start the Adams spectral sequence for finally obtaining our result, the spin cobordism groups. We conclude by providing a string theoretic interpretation to the cobordism groups. |
| format | Article |
| id | doaj-art-778a3dca335047f4bef4562ea357ce16 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-778a3dca335047f4bef4562ea357ce162025-02-09T12:07:57ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114510.1007/JHEP01(2025)181Spin cobordism and the gauge group of type I/heterotic string theoryChristian Kneißl0Max-Planck-Institut für Physik (Werner-Heisenberg-Institut)Abstract Cobordism offers a unique perspective into the non-perturbative sector of string theory by demanding the absence of higher form global symmetries for quantum gravitational consistency. In this work we compute the spin cobordism groups of the classifying space of Spin(32)/ℤ2 relevant to describing type I/heterotic string theory and explore their (shared) non-perturbative sector. To facilitate this we leverage our knowledge of type I D-brane physics behind the related ko-homology. The computation utilizes several established tools from algebraic topology, the focus here is on two spectral sequences. First, the Eilenberg-Moore spectral sequence is used to obtain the cohomology of the classifying space of the Spin(32)/ℤ2 with ℤ2 coefficients. This will enable us to start the Adams spectral sequence for finally obtaining our result, the spin cobordism groups. We conclude by providing a string theoretic interpretation to the cobordism groups.https://doi.org/10.1007/JHEP01(2025)181D-BranesString and Brane PhenomenologyString DualitySuperstrings and Heterotic Strings |
| spellingShingle | Christian Kneißl Spin cobordism and the gauge group of type I/heterotic string theory Journal of High Energy Physics D-Branes String and Brane Phenomenology String Duality Superstrings and Heterotic Strings |
| title | Spin cobordism and the gauge group of type I/heterotic string theory |
| title_full | Spin cobordism and the gauge group of type I/heterotic string theory |
| title_fullStr | Spin cobordism and the gauge group of type I/heterotic string theory |
| title_full_unstemmed | Spin cobordism and the gauge group of type I/heterotic string theory |
| title_short | Spin cobordism and the gauge group of type I/heterotic string theory |
| title_sort | spin cobordism and the gauge group of type i heterotic string theory |
| topic | D-Branes String and Brane Phenomenology String Duality Superstrings and Heterotic Strings |
| url | https://doi.org/10.1007/JHEP01(2025)181 |
| work_keys_str_mv | AT christiankneißl spincobordismandthegaugegroupoftypeiheteroticstringtheory |