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 |
---|---|---|---|---|---|---|---|---|---|
1134 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.661 | 0.8205 | 0.8057 | [M:[1.0148, 1.0724, 1.1596, 0.8404, 0.6957, 0.9852], q:[0.7681, 0.5362], qb:[0.449, 0.3915], phi:[0.4638]] | [M:[[13], [-4], [5], [-5], [3], [-13]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$ | ${}M_{5}q_{1}q_{2}$ | 0 | t^2.087 + t^2.521 + t^2.783 + t^2.955 + t^3.217 + t^3.479 + t^3.651 + t^3.74 + t^3.913 + t^4.085 + 2*t^4.174 + t^4.347 + 2*t^4.609 + t^4.87 + 2*t^5.043 + 2*t^5.304 + t^5.477 + t^5.566 + 2*t^5.738 + t^5.911 + 2*t^6.173 + 2*t^6.262 + 2*t^6.434 + t^6.523 + 2*t^6.607 + 3*t^6.696 + 3*t^6.868 + t^6.957 + t^7.041 + 3*t^7.13 + 2*t^7.302 + 2*t^7.391 + t^7.48 + 3*t^7.564 + t^7.653 + t^7.737 + 3*t^7.826 + t^7.915 + 3*t^7.998 + t^8.171 + 3*t^8.26 + 2*t^8.349 + 2*t^8.432 + 4*t^8.694 + t^8.783 + t^8.866 + t^8.955 - t^4.391/y - t^6.479/y + t^7.609/y + t^7.87/y + t^8.043/y + (3*t^8.304)/y + t^8.477/y + (3*t^8.738)/y + t^8.827/y - t^4.391*y - t^6.479*y + t^7.609*y + t^7.87*y + t^8.043*y + 3*t^8.304*y + t^8.477*y + 3*t^8.738*y + t^8.827*y | g1^3*t^2.087 + t^2.521/g1^5 + g1^4*t^2.783 + t^2.955/g1^13 + t^3.217/g1^4 + g1^5*t^3.479 + t^3.651/g1^12 + g1^14*t^3.74 + t^3.913/g1^3 + t^4.085/g1^20 + 2*g1^6*t^4.174 + t^4.347/g1^11 + (2*t^4.609)/g1^2 + g1^7*t^4.87 + (2*t^5.043)/g1^10 + (2*t^5.304)/g1 + t^5.477/g1^18 + g1^8*t^5.566 + (2*t^5.738)/g1^9 + t^5.911/g1^26 + (2*t^6.173)/g1^17 + 2*g1^9*t^6.262 + (2*t^6.434)/g1^8 + g1^18*t^6.523 + (2*t^6.607)/g1^25 + 3*g1*t^6.696 + (3*t^6.868)/g1^16 + g1^10*t^6.957 + t^7.041/g1^33 + (3*t^7.13)/g1^7 + (2*t^7.302)/g1^24 + 2*g1^2*t^7.391 + g1^28*t^7.48 + (3*t^7.564)/g1^15 + g1^11*t^7.653 + t^7.737/g1^32 + (3*t^7.826)/g1^6 + g1^20*t^7.915 + (3*t^7.998)/g1^23 + t^8.171/g1^40 + (3*t^8.26)/g1^14 + 2*g1^12*t^8.349 + (2*t^8.432)/g1^31 + (4*t^8.694)/g1^22 + g1^4*t^8.783 + t^8.866/g1^39 + t^8.955/g1^13 - (g1^2*t^4.391)/y - (g1^5*t^6.479)/y + t^7.609/(g1^2*y) + (g1^7*t^7.87)/y + t^8.043/(g1^10*y) + (3*t^8.304)/(g1*y) + t^8.477/(g1^18*y) + (3*t^8.738)/(g1^9*y) + (g1^17*t^8.827)/y - g1^2*t^4.391*y - g1^5*t^6.479*y + (t^7.609*y)/g1^2 + g1^7*t^7.87*y + (t^8.043*y)/g1^10 + (3*t^8.304*y)/g1 + (t^8.477*y)/g1^18 + (3*t^8.738*y)/g1^9 + g1^17*t^8.827*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 |
---|---|---|---|---|---|---|---|---|
2166 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{7}$ | 0.6679 | 0.8314 | 0.8034 | [M:[1.0003, 1.0768, 1.154, 0.846, 0.6924, 0.9997, 0.9232], q:[0.7692, 0.5384], qb:[0.4613, 0.3848], phi:[0.4616]] | t^2.077 + t^2.538 + 2*t^2.77 + t^2.999 + t^3.462 + t^3.691 + t^3.693 + t^3.923 + t^4.152 + 2*t^4.154 + t^4.384 + 2*t^4.615 + 2*t^4.847 + 2*t^5.076 + 2*t^5.308 + t^5.537 + 3*t^5.539 + 2*t^5.769 + t^5.998 - t^6. - t^4.385/y - t^4.385*y | detail | |
2163 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ | 0.675 | 0.8455 | 0.7983 | [M:[1.0291, 1.068, 1.1651, 0.8349, 0.699, 0.9709, 0.8349], q:[0.767, 0.534], qb:[0.4369, 0.3981], phi:[0.466]] | t^2.097 + 2*t^2.505 + t^2.796 + t^2.913 + t^3.204 + t^3.612 + t^3.786 + t^3.903 + t^4.019 + 2*t^4.194 + t^4.311 + 3*t^4.602 + t^4.893 + 4*t^5.01 + 3*t^5.301 + 2*t^5.417 + 3*t^5.709 + t^5.825 - t^6. - t^4.398/y - t^4.398*y | detail | |
2165 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6816 | 0.86 | 0.7926 | [M:[1.013, 1.0729, 1.1588, 0.8412, 0.6953, 0.987, 0.6953], q:[0.7682, 0.5365], qb:[0.4506, 0.3906], phi:[0.4635]] | 2*t^2.086 + t^2.524 + t^2.781 + t^2.961 + t^3.219 + t^3.476 + t^3.656 + t^3.734 + t^4.094 + 4*t^4.172 + t^4.352 + 3*t^4.609 + 2*t^4.867 + 3*t^5.047 + 3*t^5.305 + t^5.485 + 2*t^5.562 + 3*t^5.742 + t^5.82 + t^5.922 - t^6. - t^4.391/y - t^4.391*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 |
---|---|---|---|---|---|---|---|---|---|
700 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.662 | 0.821 | 0.8063 | [M:[0.9647, 1.0878, 1.1403, 0.8597, 0.6842], q:[0.7719, 0.5439], qb:[0.4914, 0.3683], phi:[0.4561]] | t^2.052 + t^2.579 + t^2.737 + t^2.894 + t^3.263 + t^3.421 + t^3.578 + t^3.79 + t^3.948 + 2*t^4.105 + t^4.317 + t^4.474 + 2*t^4.632 + t^4.789 + t^4.946 + t^5.158 + 2*t^5.316 + 2*t^5.473 + t^5.631 + t^5.788 + t^5.843 - t^4.368/y - t^4.368*y | detail |