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 |
|---|---|---|---|---|---|---|---|---|---|
| 215 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ | 0.587 | 0.7429 | 0.7902 | [M:[0.9864, 1.0409, 1.0136], q:[0.7466, 0.267], qb:[0.4795, 0.4795], phi:[0.5068]] | [M:[[4, 4], [-12, -12], [-4, -4]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -2 | 2*t^2.24 + 2*t^3.041 + 2*t^3.123 + 2*t^3.678 + 2*t^3.76 + 3*t^4.398 + 3*t^4.48 + 4*t^5.281 + 2*t^5.363 + 3*t^5.918 - 2*t^6. + t^6.082 + 4*t^6.164 + 3*t^6.245 + 2*t^6.637 + 4*t^6.719 + 4*t^6.801 + 2*t^6.883 + 5*t^7.439 + 7*t^7.52 + 2*t^7.602 + 4*t^8.076 + 4*t^8.158 - 6*t^8.24 + 2*t^8.322 + 4*t^8.403 + 2*t^8.485 + 5*t^8.795 + t^8.877 + 4*t^8.959 - t^4.52/y + t^7.398/y + (2*t^7.48)/y - t^7.561/y - t^7.643/y + (4*t^8.281)/y + (4*t^8.363)/y + (4*t^8.918)/y - t^4.52*y + t^7.398*y + 2*t^7.48*y - t^7.561*y - t^7.643*y + 4*t^8.281*y + 4*t^8.363*y + 4*t^8.918*y | (g1^7*t^2.24)/g2^5 + (g2^7*t^2.24)/g1^5 + (2*t^3.041)/(g1^4*g2^4) + (2*t^3.123)/(g1^12*g2^12) + g1^13*g2*t^3.678 + g1*g2^13*t^3.678 + (g1^5*t^3.76)/g2^7 + (g2^5*t^3.76)/g1^7 + (g1^22*t^4.398)/g2^2 + g1^10*g2^10*t^4.398 + (g2^22*t^4.398)/g1^2 + (g1^14*t^4.48)/g2^10 + g1^2*g2^2*t^4.48 + (g2^14*t^4.48)/g1^10 + (2*g1^3*t^5.281)/g2^9 + (2*g2^3*t^5.281)/g1^9 + t^5.363/(g1^5*g2^17) + t^5.363/(g1^17*g2^5) + (g1^20*t^5.918)/g2^4 + g1^8*g2^8*t^5.918 + (g2^20*t^5.918)/g1^4 - 2*t^6. + t^6.082/(g1^8*g2^8) + (4*t^6.164)/(g1^16*g2^16) + (3*t^6.245)/(g1^24*g2^24) + (g1^29*t^6.637)/g2^7 + (g2^29*t^6.637)/g1^7 + (g1^21*t^6.719)/g2^15 + (g1^9*t^6.719)/g2^3 + (g2^9*t^6.719)/g1^3 + (g2^21*t^6.719)/g1^15 + (2*g1*t^6.801)/g2^11 + (2*g2*t^6.801)/g1^11 + t^6.883/(g1^7*g2^19) + t^6.883/(g1^19*g2^7) + (2*g1^18*t^7.439)/g2^6 + g1^6*g2^6*t^7.439 + (2*g2^18*t^7.439)/g1^6 + (3*g1^10*t^7.52)/g2^14 + t^7.52/(g1^2*g2^2) + (3*g2^10*t^7.52)/g1^14 + (g1^2*t^7.602)/g2^22 + (g2^2*t^7.602)/g1^22 + (g1^35*t^8.076)/g2 + g1^23*g2^11*t^8.076 + g1^11*g2^23*t^8.076 + (g2^35*t^8.076)/g1 + (2*g1^27*t^8.158)/g2^9 + (2*g2^27*t^8.158)/g1^9 - (3*g1^7*t^8.24)/g2^5 - (3*g2^7*t^8.24)/g1^5 + t^8.322/(g1*g2^13) + t^8.322/(g1^13*g2) + (2*t^8.403)/(g1^9*g2^21) + (2*t^8.403)/(g1^21*g2^9) + t^8.485/(g1^17*g2^29) + t^8.485/(g1^29*g2^17) + (g1^44*t^8.795)/g2^4 + g1^32*g2^8*t^8.795 + g1^20*g2^20*t^8.795 + g1^8*g2^32*t^8.795 + (g2^44*t^8.795)/g1^4 + (g1^36*t^8.877)/g2^12 - g1^12*g2^12*t^8.877 + (g2^36*t^8.877)/g1^12 + (g1^28*t^8.959)/g2^20 + (g1^16*t^8.959)/g2^8 + (g2^16*t^8.959)/g1^8 + (g2^28*t^8.959)/g1^20 - t^4.52/(g1^2*g2^2*y) + (g1^10*g2^10*t^7.398)/y + (2*g1^2*g2^2*t^7.48)/y - t^7.561/(g1^6*g2^6*y) - t^7.643/(g1^14*g2^14*y) + (2*g1^3*t^8.281)/(g2^9*y) + (2*g2^3*t^8.281)/(g1^9*y) + (2*t^8.363)/(g1^5*g2^17*y) + (2*t^8.363)/(g1^17*g2^5*y) + (g1^20*t^8.918)/(g2^4*y) + (2*g1^8*g2^8*t^8.918)/y + (g2^20*t^8.918)/(g1^4*y) - (t^4.52*y)/(g1^2*g2^2) + g1^10*g2^10*t^7.398*y + 2*g1^2*g2^2*t^7.48*y - (t^7.561*y)/(g1^6*g2^6) - (t^7.643*y)/(g1^14*g2^14) + (2*g1^3*t^8.281*y)/g2^9 + (2*g2^3*t^8.281*y)/g1^9 + (2*t^8.363*y)/(g1^5*g2^17) + (2*t^8.363*y)/(g1^17*g2^5) + (g1^20*t^8.918*y)/g2^4 + 2*g1^8*g2^8*t^8.918*y + (g2^20*t^8.918*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 343 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ | 0.5939 | 0.7557 | 0.7859 | [M:[0.9644, 1.1068, 1.0356, 0.8932], q:[0.7411, 0.2945], qb:[0.4466, 0.4466], phi:[0.5178]] | 2*t^2.223 + t^2.68 + 2*t^3.107 + t^3.32 + 2*t^3.563 + 2*t^3.777 + 3*t^4.233 + 3*t^4.447 + 2*t^4.903 + 4*t^5.33 + t^5.359 + 5*t^5.786 - t^6. - t^4.553/y - t^4.553*y | detail | |
| 344 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6064 | 0.7787 | 0.7788 | [M:[0.9857, 1.043, 1.0143, 0.7364], q:[0.7464, 0.2679], qb:[0.4885, 0.4685], phi:[0.5072]] | 2*t^2.209 + t^2.269 + 2*t^3.043 + 2*t^3.129 + t^3.645 + t^3.705 + t^3.731 + t^4.333 + t^4.392 + 3*t^4.419 + t^4.452 + 2*t^4.478 + t^4.538 + 4*t^5.252 + 2*t^5.312 + 3*t^5.338 + t^5.398 + 2*t^5.854 + 2*t^5.914 + t^5.94 + t^5.974 - 3*t^6. - t^4.522/y - t^4.522*y | detail | |
| 1731 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6056 | 0.7771 | 0.7792 | [M:[0.9925, 1.0225, 1.0075, 0.7511], q:[0.7481, 0.2594], qb:[0.5008, 0.4768], phi:[0.5037]] | t^2.208 + t^2.253 + t^2.28 + 2*t^3.022 + 2*t^3.067 + t^3.675 + t^3.72 + t^3.792 + t^4.372 + t^4.417 + t^4.444 + t^4.462 + t^4.489 + t^4.507 + t^4.516 + t^4.534 + t^4.561 + 2*t^5.231 + 3*t^5.276 + 2*t^5.303 + 2*t^5.321 + t^5.348 + t^5.883 + t^5.928 + t^5.973 - 2*t^6. - t^4.511/y - t^4.511*y | detail | |
| 1732 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.5868 | 0.7427 | 0.7901 | [M:[0.9895, 1.0315, 1.0105], q:[0.7474, 0.2631], qb:[0.4947, 0.4737], phi:[0.5053]] | t^2.211 + t^2.274 + 2*t^3.032 + 2*t^3.095 + t^3.663 + 2*t^3.726 + t^3.789 + t^4.358 + 2*t^4.421 + 2*t^4.484 + t^4.547 + 2*t^5.242 + 3*t^5.305 + t^5.368 + t^5.874 + t^5.937 - t^6. - t^4.516/y - t^4.516*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 |
|---|---|---|---|---|---|---|---|---|---|
| 131 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.5887 | 0.7456 | 0.7895 | [M:[0.9784, 1.0648], q:[0.7446, 0.277], qb:[0.4676, 0.4676], phi:[0.5108]] | 2*t^2.234 + t^2.935 + t^3.065 + 2*t^3.195 + 2*t^3.637 + 2*t^3.766 + 3*t^4.338 + 3*t^4.468 + 2*t^5.169 + 2*t^5.299 + 2*t^5.428 + 4*t^5.87 - t^6. - t^4.532/y - t^4.532*y | detail |