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 |
|---|---|---|---|---|---|---|---|---|---|
| 3474 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$ | 0.6523 | 0.8156 | 0.7998 | [M:[0.8066, 1.2264, 0.7407, 0.8395, 0.7077, 1.1605, 0.8395], q:[0.7572, 0.4362], qb:[0.4033, 0.856], phi:[0.3868]] | [M:[[2], [8], [-18], [12], [-28], [-12], [12]], q:[[-13], [11]], qb:[[1], [17]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}q_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$ | -1 | t^2.123 + t^2.222 + t^2.42 + 2*t^2.519 + t^3.58 + 2*t^3.679 + t^3.778 + t^4.246 + t^4.345 + t^4.444 + t^4.543 + 3*t^4.642 + 2*t^4.741 + 2*t^4.84 + 2*t^4.938 + 3*t^5.037 + t^5.703 + 2*t^5.802 + t^5.901 - t^6. + 2*t^6.099 + 4*t^6.198 + 2*t^6.297 + t^6.37 + t^6.468 + t^6.567 + 2*t^6.666 + 3*t^6.765 + 3*t^6.864 + 3*t^6.963 + 2*t^7.062 + 3*t^7.16 + 3*t^7.259 + 4*t^7.358 + 3*t^7.457 + 4*t^7.556 + t^7.827 + 2*t^7.926 + t^8.024 - t^8.123 + 2*t^8.321 - t^8.42 + t^8.493 - 2*t^8.519 + t^8.592 + 2*t^8.617 + t^8.691 + 5*t^8.716 + 2*t^8.789 + 3*t^8.815 + 4*t^8.888 + 3*t^8.987 - t^4.16/y - t^6.284/y - t^6.383/y - t^6.58/y - t^6.679/y + t^7.345/y + t^7.543/y + (4*t^7.642)/y + (3*t^7.741)/y + (3*t^7.938)/y + (2*t^8.037)/y - t^8.407/y - t^8.506/y - t^8.605/y + t^8.802/y + (2*t^8.901)/y - t^4.16*y - t^6.284*y - t^6.383*y - t^6.58*y - t^6.679*y + t^7.345*y + t^7.543*y + 4*t^7.642*y + 3*t^7.741*y + 3*t^7.938*y + 2*t^8.037*y - t^8.407*y - t^8.506*y - t^8.605*y + t^8.802*y + 2*t^8.901*y | t^2.123/g1^28 + t^2.222/g1^18 + g1^2*t^2.42 + 2*g1^12*t^2.519 + t^3.58/g1^2 + 2*g1^8*t^3.679 + g1^18*t^3.778 + t^4.246/g1^56 + t^4.345/g1^46 + t^4.444/g1^36 + t^4.543/g1^26 + (3*t^4.642)/g1^16 + (2*t^4.741)/g1^6 + 2*g1^4*t^4.84 + 2*g1^14*t^4.938 + 3*g1^24*t^5.037 + t^5.703/g1^30 + (2*t^5.802)/g1^20 + t^5.901/g1^10 - t^6. + 2*g1^10*t^6.099 + 4*g1^20*t^6.198 + 2*g1^30*t^6.297 + t^6.37/g1^84 + t^6.468/g1^74 + t^6.567/g1^64 + (2*t^6.666)/g1^54 + (3*t^6.765)/g1^44 + (3*t^6.864)/g1^34 + (3*t^6.963)/g1^24 + (2*t^7.062)/g1^14 + (3*t^7.16)/g1^4 + 3*g1^6*t^7.259 + 4*g1^16*t^7.358 + 3*g1^26*t^7.457 + 4*g1^36*t^7.556 + t^7.827/g1^58 + (2*t^7.926)/g1^48 + t^8.024/g1^38 - t^8.123/g1^28 + (2*t^8.321)/g1^8 - g1^2*t^8.42 + t^8.493/g1^112 - 2*g1^12*t^8.519 + t^8.592/g1^102 + 2*g1^22*t^8.617 + t^8.691/g1^92 + 5*g1^32*t^8.716 + (2*t^8.789)/g1^82 + 3*g1^42*t^8.815 + (4*t^8.888)/g1^72 + (3*t^8.987)/g1^62 - t^4.16/(g1^4*y) - t^6.284/(g1^32*y) - t^6.383/(g1^22*y) - t^6.58/(g1^2*y) - (g1^8*t^6.679)/y + t^7.345/(g1^46*y) + t^7.543/(g1^26*y) + (4*t^7.642)/(g1^16*y) + (3*t^7.741)/(g1^6*y) + (3*g1^14*t^7.938)/y + (2*g1^24*t^8.037)/y - t^8.407/(g1^60*y) - t^8.506/(g1^50*y) - t^8.605/(g1^40*y) + t^8.802/(g1^20*y) + (2*t^8.901)/(g1^10*y) - (t^4.16*y)/g1^4 - (t^6.284*y)/g1^32 - (t^6.383*y)/g1^22 - (t^6.58*y)/g1^2 - g1^8*t^6.679*y + (t^7.345*y)/g1^46 + (t^7.543*y)/g1^26 + (4*t^7.642*y)/g1^16 + (3*t^7.741*y)/g1^6 + 3*g1^14*t^7.938*y + 2*g1^24*t^8.037*y - (t^8.407*y)/g1^60 - (t^8.506*y)/g1^50 - (t^8.605*y)/g1^40 + (t^8.802*y)/g1^20 + (2*t^8.901*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5149 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6719 | 0.8522 | 0.7885 | [M:[0.8076, 1.2306, 0.7312, 0.8459, 0.6929, 1.1541, 0.8459, 0.7312], q:[0.7503, 0.4421], qb:[0.4038, 0.865], phi:[0.3847]] | t^2.079 + 2*t^2.193 + t^2.423 + 2*t^2.538 + t^3.577 + 2*t^3.692 + t^4.157 + 2*t^4.272 + 3*t^4.387 + t^4.502 + 4*t^4.616 + 4*t^4.731 + 2*t^4.846 + 2*t^4.961 + 3*t^5.075 + t^5.656 + 3*t^5.771 + 2*t^5.885 - 2*t^6. - t^4.154/y - t^4.154*y | detail | |
| 5147 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6684 | 0.8438 | 0.7921 | [M:[0.8064, 1.2255, 0.7427, 0.8382, 0.7109, 1.1618, 0.8382, 0.8064], q:[0.7586, 0.435], qb:[0.4032, 0.8541], phi:[0.3873]] | t^2.133 + t^2.228 + 2*t^2.419 + 2*t^2.515 + 2*t^3.676 + t^3.772 + t^4.265 + t^4.361 + t^4.456 + 2*t^4.552 + 4*t^4.647 + 2*t^4.743 + 4*t^4.838 + 4*t^4.934 + 3*t^5.029 + t^5.809 + t^5.905 - 2*t^6. - t^4.162/y - t^4.162*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2898 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6388 | 0.7929 | 0.8057 | [M:[0.8082, 1.2328, 0.7263, 0.8492, 0.6853, 1.1508], q:[0.7468, 0.4451], qb:[0.4041, 0.8696], phi:[0.3836]] | t^2.056 + t^2.179 + t^2.425 + t^2.547 + t^3.453 + t^3.575 + 2*t^3.698 + t^3.821 + t^4.112 + t^4.235 + t^4.358 + t^4.481 + 2*t^4.603 + t^4.726 + 2*t^4.849 + t^4.972 + t^5.095 + t^5.508 + 2*t^5.631 + 2*t^5.754 + 2*t^5.877 - t^4.151/y - t^4.151*y | detail |