BPS bound states of D6-branes and lower dimensional D-branes

Sato, Matsuo

doi:10.1063/1.1454403

Cited by 3 publications

(4 citation statements)

References 21 publications

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“…Then it is not hard to see that our discussion of the moduli generalizes to the case at hand and yields an identification c j = 2πθ −1 jk x k analogous to (28). A similar statement is also true for the Wilson lines moduli on D2p.…”

Section: Generalizationssupporting

confidence: 59%

Unstable solitons on noncommutative tori and D-branes

Konechny

2002

J. High Energy Phys.

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We describe a class of exact solutions of super Yang-Mills theory on evendimensional noncommutative tori. These solutions generalize the solitons on a noncommutative plane introduced in [7] that are conjectured to describe unstable D2p-D0 systems. We show that the spectrum of quadratic fluctuations around our solutions correctly reproduces the string spectrum of the D2p-D0 system in the Seiberg-Witten decoupling limit. In particular the fluctuations correctly reproduce the 0-0 string winding modes. For p = 1 and p = 2 we match the differences between the soliton energy and the energy of an appropriate SYM BPS state with the binding energies of D2-D0 and D4-D0 systems. We also give an example of a soliton that we conjecture describes branes of intermediate dimension on a torus such as a D2-D4 system on a four-torus. * This work was supported by the

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Section: Generalizationssupporting

confidence: 59%

Unstable solitons on noncommutative tori and D-branes

Konechny

2002

J. High Energy Phys.

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“…On the other hand, recently the c ≤ 1 U(N) matrix model, which corresponds to the c ≤ 1 string theory nonperturbatively, has been developed extensively [20][21][22][23][24] by incorporating the ideas employed in study of the tachyon condensation [25,26], D-branes and the AdS/CFT correspondence. Next, we need to develop the AdS/CFT correspondence by incorporating the ideas used in the c ≤ 1 matrix model [27][28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

“…Although we can compare this limiting string theory with the weak coupling SYM effectively by using the composite coupling expansion (λ/J 2 , where J is the large R charge), we fail to see the correspondence at three loops [14,15]. Therefore, we need to find a string description dual to the weak coupling SYM [16][17][18][19].On the other hand, recently the c ≤ 1 U(N) matrix model, which corresponds to the c ≤ 1 string theory nonperturbatively, has been developed extensively [20][21][22][23][24] by incorporating the ideas employed in study of the tachyon condensation [25,26], D-branes and the AdS/CFT correspondence. Next, we need to develop the AdS/CFT correspondence by incorporating the ideas used in the c ≤ 1 matrix model [27][28][29][30][31][32][33].…”

mentioning

confidence: 99%

World-Sheets from Super Yang-Mills

Sato

2006

Progress of Theoretical Physics

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We examine whether the free energy of N = 4 super Yang-Mills theory (SYM) in four dimensions corresponds to the partition function of the AdS 5 × S 5 superstring when the corresponding operators are inserted into both theories. We obtain the formal free energy of N = 4 U (N ) SYM in four dimensions generated by the Feynman graph expansion to all orders of the 't Hooft coupling expansion with arbitrary N . This free energy is written as the sum over discretized closed two-dimensional surfaces that are identified with the world-sheets of the string. We compare this free energy with the formal partition function of the discretized AdS 5 × S 5 superstring with the kappasymmetry fixed in the killing gauge and in the expansion corresponding to the weak 't Hooft coupling expansion in the SYM. We find that some of their properties are identical, although further studies are required to obtain a more precise comparison. Our result suggests a mechanism through which the world-sheet emerges dynamically from N = 4 SYM, and this enables us to derive the manner in which the AdS 5 × S 5 superstring is reproduced in the AdS/CFT correspondence.The AdS/CFT correspondence proposed by Maldacena states that the superstring theory on the AdS 5 × S 5 background corresponds to N = 4 super Yang-Mills theory (SYM) in four dimensions [1]. In the g s → 0, α ′ → 0 limit, it has been established that the supergravity on AdS 5 × S 5 corresponds to N = 4 SYM in the large N, large 't Hooft coupling (λ = g 2 Y M N) limit [2][3][4][5]. In the g s → 0 limit and in the weak α ′ expansion, which corresponds to the strong λ expansion in the SYM (λ = R 4 α ′2 ), carrying out comparison is difficult, because we know little about the strong coupling SYM, while we know much about the weak coupling SYM. If we take the BMN limit 1 further, the AdS/CFT correspondence reduces to the correspondence between the superstring theory on the pp-wave background and the BMN sector of N = 4 SYM in the large N limit [10-13]. Although we can compare this limiting string theory with the weak coupling SYM effectively by using the composite coupling expansion (λ/J 2 , where J is the large R charge), we fail to see the correspondence at three loops [14,15]. Therefore, we need to find a string description dual to the weak coupling SYM [16][17][18][19].On the other hand, recently the c ≤ 1 U(N) matrix model, which corresponds to the c ≤ 1 string theory nonperturbatively, has been developed extensively [20][21][22][23][24] by incorporating the ideas employed in study of the tachyon condensation [25,26], D-branes and the AdS/CFT correspondence. Next, we need to develop the AdS/CFT correspondence by incorporating the ideas used in the c ≤ 1 matrix model [27][28][29][30][31][32][33]. One of the most important facts concerning the correspondence between the c ≤ 1 matrix model and the c ≤ 1 string theory is that the free energy of the matrix model is identical to the partition function of the string theory.The first piece of evidences supporting this fact is based on the emergence o...

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“…It is also of interest to generalize the above system to higher dimensions in the context of both D-brane dynamics and the world-volume theories. The systems of the D0-D6 and the D0-D8 with the B-field have been investigated by several authors [9,10,11,12,13,14,15,16,17,18,19,20,21,22]. Especially we consider the system of the D0brane and the D8-brane with the B-field.…”

Section: Introductionmentioning

confidence: 99%

NoncommutativeU(1)instantons in eight dimensional Yang-Mills theory

Hiraoka

2003

Phys. Rev. D

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We study the noncommutative version of the extended ADHM construction in eight dimensional U(1) Yang-Mills theory. This construction gives rise to the solutions of the BPS equations in Yang-Mills theory, and these solutions preserve at least 3/16 of supersymmetries. In a wide subspace of the extended ADHM data, we show that the integer k which appears in the extended ADHM construction should be interpreted as the D4-brane charge rather than the D0-brane charge by explicitly calculating the topological charges in the case that the noncommutativity parameter is anti-self-dual. We also find the relationship with the solution generating technique and show that the integer k can be interpreted as the charge of the D0-brane bound to the D8-brane with the B field in the case that the noncommutativity parameter is self-dual.

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BPS bound states of D6-branes and lower dimensional D-branes

Cited by 3 publications

References 21 publications

Unstable solitons on noncommutative tori and D-branes

Unstable solitons on noncommutative tori and D-branes

World-Sheets from Super Yang-Mills

NoncommutativeU(1)instantons in eight dimensional Yang-Mills theory

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