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 |
|---|---|---|---|---|---|---|---|---|---|
| 57004 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{6}M_{7}$ | 0.7041 | 0.864 | 0.815 | [M:[0.8856, 1.0381, 1.0381, 0.8856, 1.0, 0.9619, 1.0381], q:[0.5, 0.6144], qb:[0.4619, 0.5], phi:[0.4809]] | [M:[[6], [-2], [-2], [6], [0], [2], [-2]], q:[[0], [-6]], qb:[[2], [0]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$ | ${}M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$ | -3 | 2*t^2.657 + t^2.886 + t^3. + 2*t^3.114 + t^3.229 + t^4.214 + 2*t^4.328 + 3*t^4.443 + t^4.672 + 2*t^4.786 + t^5.129 + 3*t^5.314 + t^5.542 + 5*t^5.771 + t^5.886 - 3*t^6. + t^6.114 + 3*t^6.229 + 2*t^6.871 + 3*t^6.985 + 5*t^7.1 + 2*t^7.214 + 4*t^7.328 + 5*t^7.443 + 2*t^7.557 + t^7.672 + t^7.786 + 2*t^7.9 + 4*t^7.971 + t^8.015 + t^8.199 + t^8.243 + t^8.358 + 8*t^8.428 + t^8.542 - 4*t^8.657 + t^8.771 + 7*t^8.886 - t^4.443/y - (2*t^7.1)/y + t^7.328/y - t^7.557/y + (2*t^7.786)/y + t^8.314/y + (2*t^8.542)/y + (2*t^8.657)/y + (4*t^8.771)/y + (3*t^8.886)/y - t^4.443*y - 2*t^7.1*y + t^7.328*y - t^7.557*y + 2*t^7.786*y + t^8.314*y + 2*t^8.542*y + 2*t^8.657*y + 4*t^8.771*y + 3*t^8.886*y | 2*g1^6*t^2.657 + g1^2*t^2.886 + t^3. + (2*t^3.114)/g1^2 + t^3.229/g1^4 + g1^5*t^4.214 + 2*g1^3*t^4.328 + 3*g1*t^4.443 + t^4.672/g1^3 + (2*t^4.786)/g1^5 + t^5.129/g1^11 + 3*g1^12*t^5.314 + g1^8*t^5.542 + 5*g1^4*t^5.771 + g1^2*t^5.886 - 3*t^6. + t^6.114/g1^2 + (3*t^6.229)/g1^4 + 2*g1^11*t^6.871 + 3*g1^9*t^6.985 + 5*g1^7*t^7.1 + 2*g1^5*t^7.214 + 4*g1^3*t^7.328 + 5*g1*t^7.443 + (2*t^7.557)/g1 + t^7.672/g1^3 + t^7.786/g1^5 + (2*t^7.9)/g1^7 + 4*g1^18*t^7.971 + t^8.015/g1^9 + g1^14*t^8.199 + t^8.243/g1^13 + t^8.358/g1^15 + 8*g1^10*t^8.428 + g1^8*t^8.542 - 4*g1^6*t^8.657 + g1^4*t^8.771 + 7*g1^2*t^8.886 - (g1*t^4.443)/y - (2*g1^7*t^7.1)/y + (g1^3*t^7.328)/y - t^7.557/(g1*y) + (2*t^7.786)/(g1^5*y) + (g1^12*t^8.314)/y + (2*g1^8*t^8.542)/y + (2*g1^6*t^8.657)/y + (4*g1^4*t^8.771)/y + (3*g1^2*t^8.886)/y - g1*t^4.443*y - 2*g1^7*t^7.1*y + g1^3*t^7.328*y - (t^7.557*y)/g1 + (2*t^7.786*y)/g1^5 + g1^12*t^8.314*y + 2*g1^8*t^8.542*y + 2*g1^6*t^8.657*y + 4*g1^4*t^8.771*y + 3*g1^2*t^8.886*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 |
|---|---|---|---|---|---|---|---|---|
| 58689 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ | 0.712 | 0.8788 | 0.8103 | [M:[0.8562, 1.0479, 1.0479, 0.8562, 1.0, 0.9521, 1.0479, 0.9041], q:[0.5, 0.6438], qb:[0.4521, 0.5], phi:[0.476]] | 2*t^2.569 + t^2.712 + t^2.856 + t^3. + 2*t^3.144 + t^4.14 + 2*t^4.284 + 3*t^4.428 + t^4.716 + 2*t^4.86 + 3*t^5.137 + 2*t^5.281 + t^5.291 + 2*t^5.425 + t^5.569 + 6*t^5.712 + t^5.856 - 3*t^6. - t^4.428/y - t^4.428*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55362 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}M_{6}$ | 0.7079 | 0.871 | 0.8128 | [M:[0.8699, 1.0434, 1.0434, 0.8699, 1.0, 0.9566], q:[0.5, 0.6301], qb:[0.4566, 0.5], phi:[0.4783]] | 2*t^2.61 + 2*t^2.87 + t^3. + t^3.13 + t^3.26 + t^4.175 + 2*t^4.305 + 3*t^4.435 + t^4.695 + 2*t^4.825 + t^5.216 + 3*t^5.219 + 3*t^5.479 + 5*t^5.74 + 2*t^5.87 - 3*t^6. - t^4.435/y - t^4.435*y | detail |