Closed strings interacting with non-commutative D-branes

Hyun, Seungjoon; Kiem, Youngjai; Lee, Sang‐Min; Lee, Chang Yeong

doi:10.1016/s0550-3213(99)00710-5

Cited by 18 publications

(20 citation statements)

References 25 publications

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“…The * 2 , * 3 operations were also found in the tree-level closed-open amplitudes in the presence of a B-field [17,19] and in the Seiberg-Witten map [6] between the ordinary and noncommutative gauge field variables [17,20]. * n operations should also be present in the tree-level amplitudes between one closed and n open string modes in the presence of a B-field.…”

Section: Introductionmentioning

confidence: 88%

-Trek II: operations, open Wilson lines and the Seiberg–Witten map

2001

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Generalizations of the * -product (e.g. n-ary * n operations) appear in various places in the discussion of noncommutative gauge theories. These include the one-loop effective action of noncommutative gauge theories, the couplings between massless closed and open string modes, and the Seiberg-Witten map between the ordinary and noncommutative Yang-Mills fields. We propose that the natural way to understand the * n operations is through the expansion of an open Wilson line. We establish the connection between an open Wilson line and the * n operations and use it to (I) write down a gauge invariant effective action for the one-loop F 4 terms in the noncommutative N = 4 SYM theory; (II) find the gauge invariant couplings between the noncommutative SYM modes and the massless closed string modes in flat space; (III) propose a closed form for the Seiberg-Witten map in the U(1) case.

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Section: Introductionmentioning

confidence: 88%

-Trek II: operations, open Wilson lines and the Seiberg–Witten map

2001

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“…Higher order terms in the effective action for massless open string fields [27,28], certain global anomalies in U(1) non-commutative gauge theories coupled to matter [29] and the coupling of open strings to closed strings in the presence of a background B-field [30,31] exhibit a more complicated mathematical structure than what is seen at tree level. Instead of the Moyal products the higher order contributions to the effective action contain generalized -products such as…”

Section: Jhep12(2000)008mentioning

confidence: 99%

Generalized *-products, Wilson lines and the solution of the Seiberg-Witten equations

Mehen¹,

Wise²

2000

J. High Energy Phys.

109

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Higher order terms in the effective action of non-commutative gauge theories exhibit generalizations of the -product (e.g. and 3 ). These terms do not manifestly respect the non-commutative gauge invariance of the tree level action. In U(1) gauge theories, we note that these generalized -products occur in the expansion of some quantities that are invariant under non-commutative gauge transformations, but contain an infinite number of powers of the non-commutative gauge field. One example is an open Wilson line. Another is the expression for a commutative field strength tensor F ab in terms of the non-commutative gauge field A a . Seiberg and Witten derived differential equations that relate commutative and non-commutative gauge transformations, gauge fields and field strengths. In the U(1) case we solve these equations neglecting terms of fourth order in A but keeping all orders in the non-commutative parameter θ kl .

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“…In this paper, we find precise expressions of these operators in noncommutative theories by studying disk amplitudes of one closed string and arbitrary number of open strings and by taking the zero slope limit. Disk amplitudes with a closed string state in the presence of a constant B field were discussed in [20,21], and it was found that the amplitudes involve the so-called generalized star products. 1 In [25], it was shown that these products also appear if one considers an open Wilson line which connects x and x + l by a straight line and expands it in powers of gauge fields.…”

Section: Introductionmentioning

confidence: 99%

How noncommutative gauge theories couple to gravity

2001

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We study coupling of noncommutative gauge theories on branes to closed string in the bulk. We derive an expression for the gauge theory operator dual to the bulk graviton, both in bosonic string theory and superstring theory. In either case, we find that the coupling is different from what was expected in the literature when the graviton is polarized in the noncommutative directions. In the case of superstring, the expression for the energy-momentum tensor is consistent with the way the bulk metric appears in the action for the noncommutative gauge theory. We also clarify some aspects of the correspondence between operators in the gauge theory and boundary conditions in the dual gravitational description.

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Closed strings interacting with non-commutative D-branes

Cited by 18 publications

References 25 publications

-Trek II: operations, open Wilson lines and the Seiberg–Witten map

-Trek II: operations, open Wilson lines and the Seiberg–Witten map

Generalized *-products, Wilson lines and the solution of the Seiberg-Witten equations

How noncommutative gauge theories couple to gravity

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