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Physics
Beyond the Standard Models
Disoriented with unoriented and oriented open strings
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[QUOTE="arivero, post: 5801453, member: 81"] Point today is, if I decide that I want to label a string theory, say a Veneziano model, with n quarks, then I get an U(n) gauge group, or SU(n) if there is some argument to kill the singlet away (is there some?). But I could reverse an arrow of the three-pions vertex and then it transforms to a diquark-pion-(anti)diquark vertex. Does this reversal imply that now we are using an unoriented string? The gauge group seems to be O(2n) with the states in the symmetric representation. The intuition here is that SO(2n), or Sp(n) for the same tokem, decomposes down to SU(n) producing the adjoint plus the two conjugate copies of the symmetric, that should be the mesons, the diquarks and the antidiquarks. Another way to tell the same history is that the antiparticles of SU(n) have been promoted to "particles" in SO(2n), so that where we had a [itex]N[/itex] and [itex]\bar N[/itex] of SU(n) we now have a 2N of SO(2n) joining both. But then, if this O(2n) or Sp(n) theory is an unoriented one, and it is the quotient of an oriented theory, it should be of U(2n) So [B][I]intuitively[/I][/B] it seems we have a chain U(2n) oriented ---> O(2n) unoriented ---> U(n) oriented But I have not seen such double chain described in the literature, so intuition is failing. The question is, is it failing a lot? [/QUOTE]
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Physics
Beyond the Standard Models
Disoriented with unoriented and oriented open strings
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