Does the EM field arise from the Kalb-Ramond field?

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SUMMARY

The electromagnetic field arises from components of the Kalb-Ramond gauge field ##B_{\mu\nu}## in string theory, specifically where ##\mu## represents a large dimension of 4D spacetime and ##\nu## denotes a compactified dimension. This relationship is established through the use of coincident D-branes, where open strings yield U(N) gauge theories, leading to the emergence of photon states. Reference to Zwiebach's work, particularly section 15.2, supports the notion that these photon states exist on the D-brane's world volume, facilitating electromagnetic interactions. The connection between Maxwell's theory and the Kalb-Ramond field remains ambiguous and requires further exploration.

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As I understand it all string theories have the following bosonic fields: the metric ##G_{\mu\nu}##, the Kalb-Ramond gauge field ##B_{\mu\nu}## and the dilaton field ##\Phi##.

Is it true that the electromagnetic field arises from components of the Kalb-Ramond field ##B_{\mu\nu}## where ##\mu## is one of the large dimensions of 4D spacetime and ##\nu## is one of the compactified dimensions?
 
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It has been a while for me, but first of all: why do you think this? Do you have any reference?

The electromagnetic field is part of the standard model, a Yang Mills theory. To obtain such a theory from string theory one usually uses coincident D-branes, on which open strings give U(N) gauge theories. This means that if you quantize open strings on a single D-brane, you obtain photon states; see e.g. Zwiebach 15.2, where it is motivated that these photon states indeed "live" on the world volume of the D-brane and hence give electromagnetic interactions. The connection between Maxwell's theory and the Kalb-Ramond field is not clear to me, but as I said, it has been a while.
 

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