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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53796 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}M_{6}$ | 0.661 | 0.8205 | 0.8057 | [M:[1.1596, 1.0724, 0.8404, 0.7829, 0.6957, 1.2171], q:[0.3915, 0.449], qb:[0.5362, 0.7681], phi:[0.4638]] | [M:[[-5], [4], [5], [-12], [-3], [12]], q:[[-6], [11]], qb:[[2], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 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 | t^2.087/g1^3 + g1^5*t^2.521 + t^2.783/g1^4 + g1^13*t^2.955 + g1^4*t^3.217 + t^3.479/g1^5 + g1^12*t^3.651 + t^3.74/g1^14 + g1^3*t^3.913 + g1^20*t^4.085 + (2*t^4.174)/g1^6 + g1^11*t^4.347 + 2*g1^2*t^4.609 + t^4.87/g1^7 + 2*g1^10*t^5.043 + 2*g1*t^5.304 + g1^18*t^5.477 + t^5.566/g1^8 + 2*g1^9*t^5.738 + g1^26*t^5.911 + 2*g1^17*t^6.173 + (2*t^6.262)/g1^9 + 2*g1^8*t^6.434 + t^6.523/g1^18 + 2*g1^25*t^6.607 + (3*t^6.696)/g1 + 3*g1^16*t^6.868 + t^6.957/g1^10 + g1^33*t^7.041 + 3*g1^7*t^7.13 + 2*g1^24*t^7.302 + (2*t^7.391)/g1^2 + t^7.48/g1^28 + 3*g1^15*t^7.564 + t^7.653/g1^11 + g1^32*t^7.737 + 3*g1^6*t^7.826 + t^7.915/g1^20 + 3*g1^23*t^7.998 + g1^40*t^8.171 + 3*g1^14*t^8.26 + (2*t^8.349)/g1^12 + 2*g1^31*t^8.432 + 4*g1^22*t^8.694 + t^8.783/g1^4 + g1^39*t^8.866 + g1^13*t^8.955 - t^4.391/(g1^2*y) - t^6.479/(g1^5*y) + (g1^2*t^7.609)/y + t^7.87/(g1^7*y) + (g1^10*t^8.043)/y + (3*g1*t^8.304)/y + (g1^18*t^8.477)/y + (3*g1^9*t^8.738)/y + t^8.827/(g1^17*y) - (t^4.391*y)/g1^2 - (t^6.479*y)/g1^5 + g1^2*t^7.609*y + (t^7.87*y)/g1^7 + g1^10*t^8.043*y + 3*g1*t^8.304*y + g1^18*t^8.477*y + 3*g1^9*t^8.738*y + (t^8.827*y)/g1^17 |
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 |
---|---|---|---|---|---|---|---|---|
56547 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ | 0.675 | 0.8455 | 0.7983 | [M:[1.1651, 1.068, 0.8349, 0.7961, 0.699, 1.2039, 0.8349], q:[0.3981, 0.4369], qb:[0.534, 0.767], 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 | |
56546 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{2}M_{7}$ | 0.6679 | 0.8314 | 0.8034 | [M:[1.154, 1.0768, 0.846, 0.7695, 0.6924, 1.2305, 0.9232], q:[0.3848, 0.4613], qb:[0.5384, 0.7692], 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 | |
56548 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6816 | 0.86 | 0.7926 | [M:[1.1588, 1.0729, 0.8412, 0.7812, 0.6953, 1.2188, 0.6953], q:[0.3906, 0.4506], qb:[0.5365, 0.7682], 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 |
---|---|---|---|---|---|---|---|---|---|
47181 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 0.6791 | 0.8522 | 0.7969 | [M:[1.1508, 1.0793, 0.8492, 0.762, 0.6905], q:[0.381, 0.4682], qb:[0.5397, 0.7698], phi:[0.4603]] | t^2.071 + t^2.286 + t^2.548 + t^2.762 + t^3.024 + t^3.238 + t^3.452 + t^3.667 + t^3.929 + 2*t^4.143 + t^4.19 + t^4.357 + t^4.405 + t^4.572 + 2*t^4.619 + 2*t^4.833 + t^5.048 + 2*t^5.095 + 3*t^5.31 + 2*t^5.524 + t^5.571 + t^5.738 + t^5.786 + t^5.953 - t^4.381/y - t^4.381*y | detail |