New D = 10, N = 1 supergravity coupled to Yang-Mills supermultiplet and anomaly cancellations

Abstract

Abstract We present a new D = 10, N = 1 supergravity theory coupled to a vector multiplet, using a duality transformation of the ordinary D = 10, N = 1 theory. Our new field content is ( e μ m , ψ μ , M μ 1… μ 6 , X , φ ; A μ , λ ), where the sixth-rank tensor M μ 1 … μ 6 has a field strength dual to the third-rank field strength in the ordinary theory. We also show that our new theory is free from all the gauge, gravitational and mixed anomalies, when the gauge group is SO(32) or E 8 × E 8 , following the Green-Schwarz mechanism. The structure of anomaly cancellation is different from that in the ordinary theory, suggesting that our theory is really a new quantum theory. Due to ambiguities in field representations realizing physical states of superstrings in the low energy limit, our new theory is an alternative field theoretical limit of the type-I (or heterotic) superstring theory. The difference between the two theories arise also in topology of compactifications.