Chern-Simons terms and the Three Notions of Charge

By D. Marolf. 2000

236 citations recorded by the source corpus.

Author(s): Marolf, Donald | Abstract: In theories with Chern-Simons terms or modified Bianchi identities, it is useful to define three notions of either electric or magnetic charge associated with a given gauge field. A language for discussing these charges is introduced and the properties of each charge are described. `Brane source charge' is gauge invariant and localized but not conserved or quantized, `Maxwell charge' is gauge invariant and conserved but not localized or quantized, while `Page charge' conserved, localized, and quantized but not gauge invariant. This provides a further perspective on the issue of charge quantization recently raised by Bachas, Douglas, and Schweigert.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ce66720a4f6824d17c321d8a9b7599a8d6d5e12a

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

On the existence of meta-stable vacua in Klebanov-Strassler (2009, methodology): “In our ansatz the first boundary condition requires a careful analysis of F5 = (kF + f(2P − F )) volT 11 (92) (11)A very nice description of the various charges in type II string theory can be found in [29, 30, 31].”
Hydrodynamics from charged black branes (2008, methodology): “∂S). In the presence of a Chern-Simons term in the bulk lagrangian (or alternatively, when the boundary global charge is anomalous), there are other notions of charge (like Page charge - see, for example [ 60 ] ) which are employed in the literature.”
Non-Abelian T-duality and the AdS/CFT correspondence: New N=1 backgrounds (2013, background): “gauge invariant, conserved or quantized like Maxwell and Page charges. We turn to this now. 47 4.3 Maxwell and Page Charges Before the non-abelian T-duality, we calculate the Maxwell and Page charges [67] of D3 and D5 branes, Q Max,D3 = 1 (16p4) Z q1,f1,q2,f2,y F5 = K(r) 27p ˘Nc lnr , Q Max,D5 = 1 4”
Four dimensional black hole microstates: from D-branes to spacetime foam (2006, background): “(See [25] for the difference between quantized and gauge-invariant charges.”
Exotic Branes in String Theory (2012, background): “It is known [37] that there are multiple different notions of charge in string theory and one has to be careful to use the appropriate one depending on the purpose.”
Remarks on brane and antibrane dynamics (2014, background): “n, we get @ @t Z S2 (F 2 F 0B 2) = 0: (34) We omit the source term because we will consider a process during which no branes cross the S2. The conserved quantity (34) was termed a Page charge in Ref. [26]. As noted there, it is localized, quantized, conserved, but not invariant under large gauge tra”
Sharpening the weak gravity conjecture with dimensional reduction (2015, background): “QH is an example of a Page charge [36,37], which is conserved and quantized, but not invariant under large gauge transformations.”
D-brane charges in gravitational duals of 2 + 1 dimensional gauge theories and duality cascades (2009, background): “Instead, there are three different notions of charge, which Marolf called Maxwell, Page, and Brane charges, each of which satisfies a subset of the properties above, and which can take different values.”
D-brane charges in five-brane backgrounds (2001, background): “D-brane charges and RR fluxes are classified by K-theory, at weak coupling [1,2,3].”