A Derivation of K theory from M theory

By Diuliu-Emanuel Diaconescu, G. Moore, E. Witten. 2000

247 citations recorded by the source corpus.

We show how some aspects of the K-theory classification of RR fluxes follow from a careful analysis of the phase of the M-theory action. This is a shortened and simplified companion paper to ``E8 Gauge Theory, and a Derivation of K-Theory from M-Theory.''

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/39cc6c0f3cc6f2f7a05308b69cb0f99c750e4b67

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. E. Witten
2. N. Seiberg
3. J. Maldacena
4. C. Vafa
5. G. Moore
6. M. Montero
7. Eran Palti
8. D. Harlow

In Nuclear and High Energy Physics

1. E. Witten
2. N. Seiberg
3. G. Moore
4. J. Maldacena
5. C. Vafa
6. D. Gaiotto
7. Marcos Mariño
8. Y. Nakayama

In Statistical and Nonlinear Physics

1. E. Witten
2. N. Seiberg
3. J. Maldacena
4. G. Moore
5. C. Vafa
6. Marcos Mariño
7. M. Montero
8. P. Bouwknegt

Citations in the corpus

• D-Brane Instantons and K-Theory Charges (2001, background): “As an example with torsion in H cpt(X,Z), and to make contact with [6] let us consider a simple example with H = 0.”
• Superstrings and topological strings at large N (2000, background): “This term arises (by integrating by parts) from the usual inducement of brane charge by gravitational and gauge curvature on the brane (see [39] and references therein).”
• Fermion Path Integrals And Topological Phases (2015, background): “However, several additional papers in which various problems are treated in a similar spirit to the approach here are [32], in which considerations of [29] concerning the heterotic string are formulated rigorously; [33] with (in section 2) a precise definition of the path integral of M-theory on an ”
• An Analytical computation of asymptotic Schwarzschild quasinormal frequencies (2002, background): “I am grateful to A. Ashtekar, J. Baez, J. Bekenstein, R. Bousso, N. ArkaniHamed, V. Cardoso, J. Distler, O. Dreyer, M. Fabinger, S. Gubser, M. Headrick, C. Herzog, S. Hod, K. Krasnov, H. Liu, I. Low, A. Neitzke, A. Peet, L. Randall, M. Schnabl, L. Smolin, C. Stromeyer, A. Strominger, N. Toumbas, J. ”
• Overview of K theory applied to strings (2000, background): “A . The analog for M-theory involves E8 gauge bundles with connection [13,14, 3 ].”
• Holographic Action for the Self-Dual Field (2006, background): “The basic principle we employ for writing the action has in fact already been used in [34], but the discussion of [34] was restricted to the harmonic sector of the fields.”
• D-brane charges in five-brane backgrounds (2001, methodology): “As argued in [3,10,11,12] RR fieldstrengths are topologically classified by K-theory, so the fields at the boundary are classified by Q IIA = K H(∂X9) Q IIB = K(1) H(∂X9) (1.”
• Twisted K-Theory and K-Theory of Bundle Gerbes (2001, methodology): “[5, 3] for general B-fields, in which case twisted K-theory [34] is needed. The picture of D-brane charges taking values in (twisted) K-theory has received further support from an analysis of M-theory [7], noncommutative tachyons [41, 13] and explicit examples (see, e.g., [10] and references therein)”
• Dai-Freed anomalies in particle physics (2018, methodology): “rt of the rest of this section will be about the explicit computation of this dierential in various interesting examples. { 19 { Finally, we should remark that the construction of the AHSS (see e.g. [47]) also provides a natural candidate for the representative of E(4;1) 2 = H 4(BG; Spin 1 ). We nee”