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 |
|---|---|---|---|---|---|---|---|---|---|
| 343 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ | 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]] | [M:[[4, 4], [-12, -12], [-4, -4], [12, 12]], 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 |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -1 | 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^6.214 + 2*t^6.243 + 2*t^6.427 + 4*t^6.456 + t^6.641 + 4*t^6.67 + 2*t^6.883 + 3*t^6.913 + 3*t^7.126 + 5*t^7.34 + 4*t^7.553 + 2*t^7.583 - t^7.767 + 4*t^7.796 + 8*t^8.01 + t^8.039 - 6*t^8.223 + 2*t^8.437 + 10*t^8.466 + 5*t^8.893 + 2*t^8.923 - t^4.553/y + (2*t^7.447)/y - t^7.66/y + (2*t^7.903)/y + (4*t^8.33)/y + (2*t^8.544)/y + (6*t^8.786)/y - t^4.553*y + 2*t^7.447*y - t^7.66*y + 2*t^7.903*y + 4*t^8.33*y + 2*t^8.544*y + 6*t^8.786*y | (g1^7*t^2.223)/g2^5 + (g2^7*t^2.223)/g1^5 + g1^12*g2^12*t^2.68 + (2*t^3.107)/(g1^4*g2^4) + t^3.32/(g1^12*g2^12) + g1^13*g2*t^3.563 + g1*g2^13*t^3.563 + (g1^5*t^3.777)/g2^7 + (g2^5*t^3.777)/g1^7 + (g1^22*t^4.233)/g2^2 + g1^10*g2^10*t^4.233 + (g2^22*t^4.233)/g1^2 + (g1^14*t^4.447)/g2^10 + g1^2*g2^2*t^4.447 + (g2^14*t^4.447)/g1^10 + g1^19*g2^7*t^4.903 + g1^7*g2^19*t^4.903 + (2*g1^3*t^5.33)/g2^9 + (2*g2^3*t^5.33)/g1^9 + g1^24*g2^24*t^5.359 + (g1^20*t^5.786)/g2^4 + 3*g1^8*g2^8*t^5.786 + (g2^20*t^5.786)/g1^4 - t^6. + t^6.214/(g1^8*g2^8) + g1^25*g2^13*t^6.243 + g1^13*g2^25*t^6.243 + (2*t^6.427)/(g1^16*g2^16) + (g1^29*t^6.456)/g2^7 + g1^17*g2^5*t^6.456 + g1^5*g2^17*t^6.456 + (g2^29*t^6.456)/g1^7 + t^6.641/(g1^24*g2^24) + (g1^21*t^6.67)/g2^15 + (g1^9*t^6.67)/g2^3 + (g2^9*t^6.67)/g1^3 + (g2^21*t^6.67)/g1^15 + (g1*t^6.883)/g2^11 + (g2*t^6.883)/g1^11 + g1^34*g2^10*t^6.913 + g1^22*g2^22*t^6.913 + g1^10*g2^34*t^6.913 + g1^26*g2^2*t^7.126 + g1^14*g2^14*t^7.126 + g1^2*g2^26*t^7.126 + (2*g1^18*t^7.34)/g2^6 + g1^6*g2^6*t^7.34 + (2*g2^18*t^7.34)/g1^6 + (2*g1^10*t^7.553)/g2^14 + (2*g2^10*t^7.553)/g1^14 + g1^31*g2^19*t^7.583 + g1^19*g2^31*t^7.583 - t^7.767/(g1^10*g2^10) + (g1^35*t^7.796)/g2 + g1^23*g2^11*t^7.796 + g1^11*g2^23*t^7.796 + (g2^35*t^7.796)/g1 + (2*g1^27*t^8.01)/g2^9 + 2*g1^15*g2^3*t^8.01 + 2*g1^3*g2^15*t^8.01 + (2*g2^27*t^8.01)/g1^9 + g1^36*g2^36*t^8.039 - (3*g1^7*t^8.223)/g2^5 - (3*g2^7*t^8.223)/g1^5 + t^8.437/(g1*g2^13) + t^8.437/(g1^13*g2) + (g1^44*t^8.466)/g2^4 + 2*g1^32*g2^8*t^8.466 + 4*g1^20*g2^20*t^8.466 + 2*g1^8*g2^32*t^8.466 + (g2^44*t^8.466)/g1^4 + (g1^36*t^8.68)/g2^12 - 2*g1^12*g2^12*t^8.68 + (g2^36*t^8.68)/g1^12 + (g1^28*t^8.893)/g2^20 + (g1^16*t^8.893)/g2^8 + g1^4*g2^4*t^8.893 + (g2^16*t^8.893)/g1^8 + (g2^28*t^8.893)/g1^20 + g1^37*g2^25*t^8.923 + g1^25*g2^37*t^8.923 - t^4.553/(g1^2*g2^2*y) + (2*g1^2*g2^2*t^7.447)/y - t^7.66/(g1^6*g2^6*y) + (g1^19*g2^7*t^7.903)/y + (g1^7*g2^19*t^7.903)/y + (2*g1^3*t^8.33)/(g2^9*y) + (2*g2^3*t^8.33)/(g1^9*y) + t^8.544/(g1^5*g2^17*y) + t^8.544/(g1^17*g2^5*y) + (g1^20*t^8.786)/(g2^4*y) + (4*g1^8*g2^8*t^8.786)/y + (g2^20*t^8.786)/(g1^4*y) - (t^4.553*y)/(g1^2*g2^2) + 2*g1^2*g2^2*t^7.447*y - (t^7.66*y)/(g1^6*g2^6) + g1^19*g2^7*t^7.903*y + g1^7*g2^19*t^7.903*y + (2*g1^3*t^8.33*y)/g2^9 + (2*g2^3*t^8.33*y)/g1^9 + (t^8.544*y)/(g1^5*g2^17) + (t^8.544*y)/(g1^17*g2^5) + (g1^20*t^8.786*y)/g2^4 + 4*g1^8*g2^8*t^8.786*y + (g2^20*t^8.786*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 |
|---|---|---|---|---|---|---|---|---|
| 541 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6135 | 0.7921 | 0.7745 | [M:[0.9638, 1.1086, 1.0362, 0.8914, 0.7321], q:[0.7409, 0.2953], qb:[0.4546, 0.4368], phi:[0.5181]] | 2*t^2.196 + t^2.249 + t^2.674 + 2*t^3.109 + t^3.326 + t^3.533 + t^3.587 + t^3.751 + t^4.175 + t^4.228 + t^4.282 + 3*t^4.392 + 2*t^4.446 + t^4.499 + 2*t^4.87 + t^4.924 + 4*t^5.305 + t^5.348 + 2*t^5.358 + t^5.522 + 2*t^5.73 + 4*t^5.783 + t^5.836 + t^5.947 - 2*t^6. - t^4.554/y - t^4.554*y | detail | |
| 1808 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6106 | 0.7847 | 0.7781 | [M:[0.972, 1.0841, 1.028, 0.9159, 0.7842], q:[0.743, 0.285], qb:[0.4729, 0.4431], phi:[0.514]] | t^2.184 + t^2.274 + t^2.352 + t^2.748 + 2*t^3.084 + t^3.252 + t^3.558 + t^3.726 + t^3.816 + t^4.201 + t^4.29 + t^4.369 + t^4.379 + t^4.458 + t^4.537 + t^4.547 + t^4.626 + t^4.705 + t^4.932 + t^5.021 + t^5.1 + 2*t^5.268 + 2*t^5.358 + 2*t^5.437 + t^5.496 + t^5.605 + t^5.743 + 2*t^5.832 + t^5.911 - t^6. - t^4.542/y - t^4.542*y | detail | |
| 1807 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.5921 | 0.7527 | 0.7867 | [M:[0.9726, 1.0823, 1.0274, 0.9177], q:[0.7431, 0.2843], qb:[0.4863, 0.4314], phi:[0.5137]] | t^2.147 + t^2.312 + t^2.753 + 2*t^3.082 + t^3.247 + t^3.524 + 2*t^3.688 + t^3.853 + t^4.13 + 2*t^4.294 + 2*t^4.459 + t^4.623 + t^4.9 + t^5.065 + 2*t^5.229 + 2*t^5.394 + t^5.506 + t^5.671 + 3*t^5.835 - t^4.541/y - t^4.541*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.52/y - t^4.52*y | detail |