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 |
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2698 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6079 | 0.7838 | 0.7756 | [M:[1.2911, 0.8018, 0.9536, 1.1393, 0.8607, 0.7089, 1.0464], q:[0.308, 0.4009], qb:[0.7384, 0.4598], phi:[0.5232]] | [M:[[18], [-26], [4], [-12], [12], [-18], [-4]], q:[[-5], [-13]], qb:[[1], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$ | ${}M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | 0 | t^2.127 + t^2.304 + t^2.405 + t^2.582 + 2*t^3.139 + 2*t^3.418 + t^3.696 + t^3.873 + t^3.975 + t^4.152 + t^4.254 + t^4.328 + t^4.43 + t^4.532 + t^4.607 + 2*t^4.709 + t^4.811 + t^4.886 + t^4.988 + t^5.164 + 2*t^5.266 + 2*t^5.443 + 3*t^5.545 + 2*t^5.721 + 2*t^5.823 + 2*t^6.102 + 3*t^6.279 + 2*t^6.38 + t^6.455 + 5*t^6.557 + t^6.632 + t^6.659 + t^6.734 + 4*t^6.836 + 2*t^6.911 + t^6.938 + t^7.012 + 4*t^7.114 + t^7.216 + 2*t^7.291 + 4*t^7.393 + 2*t^7.468 + t^7.57 + 4*t^7.672 + 3*t^7.746 + 2*t^7.848 + 4*t^7.95 + t^8.025 + t^8.127 + t^8.202 + 3*t^8.229 + t^8.405 + t^8.48 + 3*t^8.507 + t^8.657 + 5*t^8.684 + 2*t^8.786 + t^8.861 + t^8.936 + 5*t^8.963 - t^4.57/y - t^6.975/y + (2*t^7.43)/y + t^7.532/y + t^7.709/y + t^7.886/y + t^7.988/y + t^8.164/y + (2*t^8.266)/y + (2*t^8.443)/y + (4*t^8.545)/y + (4*t^8.721)/y + (3*t^8.823)/y - t^4.57*y - t^6.975*y + 2*t^7.43*y + t^7.532*y + t^7.709*y + t^7.886*y + t^7.988*y + t^8.164*y + 2*t^8.266*y + 2*t^8.443*y + 4*t^8.545*y + 4*t^8.721*y + 3*t^8.823*y | t^2.127/g1^18 + g1^20*t^2.304 + t^2.405/g1^26 + g1^12*t^2.582 + (2*t^3.139)/g1^4 + (2*t^3.418)/g1^12 + t^3.696/g1^20 + g1^18*t^3.873 + t^3.975/g1^28 + g1^10*t^4.152 + t^4.254/g1^36 + g1^48*t^4.328 + g1^2*t^4.43 + t^4.532/g1^44 + g1^40*t^4.607 + (2*t^4.709)/g1^6 + t^4.811/g1^52 + g1^32*t^4.886 + t^4.988/g1^14 + g1^24*t^5.164 + (2*t^5.266)/g1^22 + 2*g1^16*t^5.443 + (3*t^5.545)/g1^30 + 2*g1^8*t^5.721 + (2*t^5.823)/g1^38 + (2*t^6.102)/g1^46 + (3*t^6.279)/g1^8 + (2*t^6.38)/g1^54 + g1^30*t^6.455 + (5*t^6.557)/g1^16 + g1^68*t^6.632 + t^6.659/g1^62 + g1^22*t^6.734 + (4*t^6.836)/g1^24 + 2*g1^60*t^6.911 + t^6.938/g1^70 + g1^14*t^7.012 + (4*t^7.114)/g1^32 + t^7.216/g1^78 + 2*g1^6*t^7.291 + (4*t^7.393)/g1^40 + 2*g1^44*t^7.468 + t^7.57/g1^2 + (4*t^7.672)/g1^48 + 3*g1^36*t^7.746 + (2*t^7.848)/g1^10 + (4*t^7.95)/g1^56 + g1^28*t^8.025 + t^8.127/g1^18 + g1^66*t^8.202 + (3*t^8.229)/g1^64 + t^8.405/g1^26 + g1^58*t^8.48 + (3*t^8.507)/g1^72 + g1^96*t^8.657 + (5*t^8.684)/g1^34 + (2*t^8.786)/g1^80 + g1^4*t^8.861 + g1^88*t^8.936 + (5*t^8.963)/g1^42 - t^4.57/(g1^2*y) - t^6.975/(g1^28*y) + (2*g1^2*t^7.43)/y + t^7.532/(g1^44*y) + t^7.709/(g1^6*y) + (g1^32*t^7.886)/y + t^7.988/(g1^14*y) + (g1^24*t^8.164)/y + (2*t^8.266)/(g1^22*y) + (2*g1^16*t^8.443)/y + (4*t^8.545)/(g1^30*y) + (4*g1^8*t^8.721)/y + (3*t^8.823)/(g1^38*y) - (t^4.57*y)/g1^2 - (t^6.975*y)/g1^28 + 2*g1^2*t^7.43*y + (t^7.532*y)/g1^44 + (t^7.709*y)/g1^6 + g1^32*t^7.886*y + (t^7.988*y)/g1^14 + g1^24*t^8.164*y + (2*t^8.266*y)/g1^22 + 2*g1^16*t^8.443*y + (4*t^8.545*y)/g1^30 + 4*g1^8*t^8.721*y + (3*t^8.823*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
4874 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ | 0.6264 | 0.8169 | 0.7668 | [M:[1.2821, 0.8147, 0.9516, 1.1453, 0.8547, 0.7179, 1.0484, 0.7579], q:[0.3105, 0.4074], qb:[0.7379, 0.4474], phi:[0.5242]] | t^2.154 + 2*t^2.274 + t^2.444 + t^2.564 + 2*t^3.145 + 2*t^3.436 + t^3.846 + t^4.017 + t^4.137 + t^4.257 + t^4.307 + 2*t^4.427 + 3*t^4.547 + t^4.598 + 3*t^4.718 + 2*t^4.838 + t^4.888 + t^5.008 + t^5.128 + 2*t^5.299 + 4*t^5.419 + 3*t^5.589 + 4*t^5.709 + t^5.88 - t^6. - t^4.573/y - t^4.573*y | detail | |
4875 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6287 | 0.825 | 0.7621 | [M:[1.29, 0.8033, 0.9533, 1.14, 0.86, 0.71, 1.0467, 0.6733], q:[0.3083, 0.4017], qb:[0.7383, 0.4583], phi:[0.5233]] | t^2.02 + t^2.13 + t^2.3 + t^2.41 + t^2.58 + 2*t^3.14 + 2*t^3.42 + t^3.7 + t^3.87 + t^4.04 + 2*t^4.15 + t^4.26 + 2*t^4.32 + 2*t^4.43 + t^4.54 + 2*t^4.6 + 2*t^4.71 + t^4.82 + t^4.88 + t^4.99 + 3*t^5.16 + 2*t^5.27 + 4*t^5.44 + 3*t^5.55 + 3*t^5.72 + 2*t^5.83 + t^5.89 - 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 |
---|---|---|---|---|---|---|---|---|---|
1577 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6961 | 0.8548 | 0.8144 | [M:[1.0437, 0.9337, 1.0113, 0.966, 1.034, 0.9563, 0.9887], q:[0.4895, 0.4668], qb:[0.4992, 0.5672], phi:[0.4943]] | t^2.801 + t^2.869 + t^2.898 + 2*t^2.966 + t^3.102 + t^3.17 + t^4.284 + t^4.352 + t^4.381 + t^4.42 + t^4.449 + t^4.478 + t^4.585 + t^4.653 + t^4.682 + t^4.886 + t^5.602 + t^5.67 + t^5.738 + 2*t^5.767 + 2*t^5.835 + 2*t^5.864 + 2*t^5.932 + t^5.971 - 3*t^6. - t^4.483/y - t^4.483*y | detail |