Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
56452 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6385 | 0.8413 | 0.759 | [M:[0.9536, 0.8019, 0.8607, 1.1393, 1.1393, 0.7678, 0.709], q:[0.7384, 0.308], qb:[0.4598, 0.4009], phi:[0.5232]] | [M:[[-4], [26], [-12], [12], [12], [-20], [18]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}$ | -3 | 2*t^2.127 + 2*t^2.303 + t^2.406 + t^2.861 + t^3.139 + 3*t^3.418 + t^3.975 + t^4.152 + 3*t^4.254 + t^4.328 + 4*t^4.43 + 2*t^4.532 + 3*t^4.607 + 2*t^4.709 + t^4.811 + 2*t^4.988 + 2*t^5.164 + 3*t^5.266 + 2*t^5.443 + 6*t^5.545 + 5*t^5.721 + 2*t^5.824 - 3*t^6. + 2*t^6.102 - t^6.176 + 4*t^6.279 + 5*t^6.381 + 2*t^6.455 + 8*t^6.557 + 2*t^6.632 + 3*t^6.659 + 5*t^6.734 + 8*t^6.836 + 4*t^6.91 + 2*t^6.938 + t^7.012 + 4*t^7.115 + t^7.217 + t^7.291 + 6*t^7.393 + 3*t^7.468 + 4*t^7.57 + 10*t^7.672 + 3*t^7.746 + 7*t^7.848 + 5*t^7.95 + 4*t^8.025 - 2*t^8.127 + 5*t^8.229 - 7*t^8.303 + 3*t^8.406 - t^8.48 + 7*t^8.508 + 4*t^8.582 + t^8.656 + 12*t^8.684 + 3*t^8.759 + 5*t^8.786 + 5*t^8.861 + 3*t^8.935 + 13*t^8.963 - t^4.57/y - t^6.697/y - t^6.873/y - t^6.975/y + t^7.152/y + t^7.254/y + (4*t^7.43)/y + (2*t^7.532)/y + t^7.607/y + (2*t^7.709)/y + t^7.988/y + (3*t^8.164)/y + (4*t^8.266)/y + (3*t^8.443)/y + (7*t^8.545)/y + (6*t^8.721)/y + (2*t^8.824)/y - t^4.57*y - t^6.697*y - t^6.873*y - t^6.975*y + t^7.152*y + t^7.254*y + 4*t^7.43*y + 2*t^7.532*y + t^7.607*y + 2*t^7.709*y + t^7.988*y + 3*t^8.164*y + 4*t^8.266*y + 3*t^8.443*y + 7*t^8.545*y + 6*t^8.721*y + 2*t^8.824*y | 2*g1^18*t^2.127 + (2*t^2.303)/g1^20 + g1^26*t^2.406 + t^2.861/g1^4 + g1^4*t^3.139 + 3*g1^12*t^3.418 + g1^28*t^3.975 + t^4.152/g1^10 + 3*g1^36*t^4.254 + t^4.328/g1^48 + (4*t^4.43)/g1^2 + 2*g1^44*t^4.532 + (3*t^4.607)/g1^40 + 2*g1^6*t^4.709 + g1^52*t^4.811 + 2*g1^14*t^4.988 + (2*t^5.164)/g1^24 + 3*g1^22*t^5.266 + (2*t^5.443)/g1^16 + 6*g1^30*t^5.545 + (5*t^5.721)/g1^8 + 2*g1^38*t^5.824 - 3*t^6. + 2*g1^46*t^6.102 - t^6.176/g1^38 + 4*g1^8*t^6.279 + 5*g1^54*t^6.381 + (2*t^6.455)/g1^30 + 8*g1^16*t^6.557 + (2*t^6.632)/g1^68 + 3*g1^62*t^6.659 + (5*t^6.734)/g1^22 + 8*g1^24*t^6.836 + (4*t^6.91)/g1^60 + 2*g1^70*t^6.938 + t^7.012/g1^14 + 4*g1^32*t^7.115 + g1^78*t^7.217 + t^7.291/g1^6 + 6*g1^40*t^7.393 + (3*t^7.468)/g1^44 + 4*g1^2*t^7.57 + 10*g1^48*t^7.672 + (3*t^7.746)/g1^36 + 7*g1^10*t^7.848 + 5*g1^56*t^7.95 + (4*t^8.025)/g1^28 - 2*g1^18*t^8.127 + 5*g1^64*t^8.229 - (7*t^8.303)/g1^20 + 3*g1^26*t^8.406 - t^8.48/g1^58 + 7*g1^72*t^8.508 + (4*t^8.582)/g1^12 + t^8.656/g1^96 + 12*g1^34*t^8.684 + (3*t^8.759)/g1^50 + 5*g1^80*t^8.786 + (5*t^8.861)/g1^4 + (3*t^8.935)/g1^88 + 13*g1^42*t^8.963 - (g1^2*t^4.57)/y - (g1^20*t^6.697)/y - t^6.873/(g1^18*y) - (g1^28*t^6.975)/y + t^7.152/(g1^10*y) + (g1^36*t^7.254)/y + (4*t^7.43)/(g1^2*y) + (2*g1^44*t^7.532)/y + t^7.607/(g1^40*y) + (2*g1^6*t^7.709)/y + (g1^14*t^7.988)/y + (3*t^8.164)/(g1^24*y) + (4*g1^22*t^8.266)/y + (3*t^8.443)/(g1^16*y) + (7*g1^30*t^8.545)/y + (6*t^8.721)/(g1^8*y) + (2*g1^38*t^8.824)/y - g1^2*t^4.57*y - g1^20*t^6.697*y - (t^6.873*y)/g1^18 - g1^28*t^6.975*y + (t^7.152*y)/g1^10 + g1^36*t^7.254*y + (4*t^7.43*y)/g1^2 + 2*g1^44*t^7.532*y + (t^7.607*y)/g1^40 + 2*g1^6*t^7.709*y + g1^14*t^7.988*y + (3*t^8.164*y)/g1^24 + 4*g1^22*t^8.266*y + (3*t^8.443*y)/g1^16 + 7*g1^30*t^8.545*y + (6*t^8.721*y)/g1^8 + 2*g1^38*t^8.824*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
58670 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6593 | 0.8825 | 0.7472 | [M:[0.9534, 0.8032, 0.8601, 1.1399, 1.1399, 0.7668, 0.7099, 0.6735], q:[0.7383, 0.3083], qb:[0.4585, 0.4016], phi:[0.5233]] | t^2.02 + 2*t^2.13 + 2*t^2.3 + t^2.41 + t^2.86 + t^3.14 + 3*t^3.42 + t^4.041 + 3*t^4.15 + 3*t^4.259 + 3*t^4.321 + 5*t^4.43 + 2*t^4.539 + 3*t^4.601 + 2*t^4.71 + t^4.819 + t^4.881 + 2*t^4.99 + 3*t^5.16 + 3*t^5.27 + 5*t^5.44 + 6*t^5.55 + 5*t^5.72 + 2*t^5.829 - 3*t^6. - t^4.57/y - t^4.57*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
52654 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6182 | 0.8027 | 0.7701 | [M:[0.9527, 0.8073, 0.8582, 1.1418, 1.1418, 0.7636], q:[0.7382, 0.3091], qb:[0.4545, 0.4037], phi:[0.5236]] | t^2.138 + 2*t^2.291 + t^2.422 + t^2.858 + t^3.142 + 3*t^3.426 + t^3.862 + t^3.993 + t^4.145 + t^4.277 + t^4.298 + 2*t^4.429 + t^4.56 + 3*t^4.582 + 2*t^4.713 + t^4.844 + t^4.996 + 2*t^5.149 + 2*t^5.28 + 2*t^5.433 + 3*t^5.564 + 5*t^5.716 + 2*t^5.848 - 2*t^6. - t^4.571/y - t^4.571*y | detail |