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

In summary, the relationship between the electromagnetic (EM) field and the Kalb-Ramond field is explored in the context of string theory and higher-dimensional theories. The Kalb-Ramond field, a two-form gauge field, can give rise to an effective electromagnetic field under certain conditions, particularly when considering dimensional reduction or specific configurations. This connection highlights the deeper links between different gauge fields in theoretical physics, suggesting that the EM field can emerge from a more fundamental framework involving the Kalb-Ramond field.
  • #1
p78653
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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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  • #2
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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