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Comments on Duality in MQCD

Shigeki Sugimoto

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Abstract

We clarify some ambiguous points in a derivation of duality via brane exchange using M-theory language, and propose a "proof " of duality in MQCD. Actually, duality in MQCD is rather trivial and does not need a complicated proof. The problem is how to interpret it in field theory language. We examine BPS states in N = 2 theory and find the particle correspondence under duality. In the process, we also find some exotic particles in N = 2 MQCD, and we observe an interesting phenomenon in type IIA string theory, namely, that fundamental strings are converted into D2-branes via the exchange of two NS5-branes. We also discuss how we should understand Seiberg's N = 1 duality from exact duality in MQCD.

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What this paper is about

We clarify some ambiguous points in a derivation of duality via brane exchange using M-theory language, and propose a "proof " of duality in MQCD. Actually, duality in MQCD is rather trivial and does not need a complicated proof. The problem is how to interpret it in field theory language. We examine BPS states in N = 2 theory and find the particle correspondence under duality. In the process, we also find some exotic particles in N = 2 MQCD, and we observe an interesting phenomenon in type IIA string theory, namely, that fundamental strings are converted into D2-branes via the exchange of two NS5-branes. We also discuss how we should understand Seiberg's N = 1 duality from exact duality in MQCD.

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Available abstract

We clarify some ambiguous points in a derivation of duality via brane exchange using M-theory language, and propose a "proof " of duality in MQCD. Actually, duality in MQCD is rather trivial and does not need a complicated proof. The problem is how to interpret it in field theory language. We examine BPS states in N = 2 theory and find the particle correspondence under duality. In the process, we also find some exotic particles in N = 2 MQCD, and we observe an interesting phenomenon in type IIA string theory, namely, that fundamental strings are converted into D2-branes via the exchange of two NS5-branes. We also discuss how we should understand Seiberg's N = 1 duality from exact duality in MQCD.

Key concepts: Duality (order theory), Physics, String (physics), Theoretical physics, T-duality, String theory, Strong duality, Field theory (psychology)

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