Timeline for Spectral flow of Dirac operator twisted by instanton
Current License: CC BY-SA 4.0
8 events
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| May 30, 2020 at 23:24 | history | edited | Gorapada Bera | CC BY-SA 4.0 |
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| May 29, 2020 at 23:50 | comment | added | Chris Gerig | Yup, I hastily messed up the factor (because I'm coincidentally thinking about these operators twisted by other $U(2)$-bundles in my work). | |
| May 29, 2020 at 15:52 | history | edited | Gorapada Bera | CC BY-SA 4.0 |
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| May 29, 2020 at 15:38 | comment | added | Gorapada Bera | Thank you @Chris for pointing out that. Is not Atiyah-Singer index theorem over $M\times S^1$ in that case imply $SF(L_t)=-8SF(D_t)$? | |
| May 29, 2020 at 15:29 | history | edited | Gorapada Bera | CC BY-SA 4.0 |
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| May 29, 2020 at 3:53 | comment | added | Chris Gerig | Just for the record: If $A(0)$ is gauge-equivalent to $A(1)$, i.e. $\mathbb{A}$ is a closed loop in the configuration space modulo gauge, then $SF(L_t)=2SF(D_t)$ and this didn't need the path to be an instanton nor the endpoints to be flat. | |
| May 28, 2020 at 17:20 | history | edited | Gorapada Bera | CC BY-SA 4.0 |
edited title
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| May 28, 2020 at 17:10 | history | asked | Gorapada Bera | CC BY-SA 4.0 |