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 |
|---|---|---|---|---|---|---|---|---|---|
| 412 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6883 | 0.8554 | 0.8047 | [M:[0.9936, 1.1195, 0.9686, 0.6793, 0.7674], q:[0.7799, 0.4277], qb:[0.5787, 0.4528], phi:[0.4402]] | [M:[[-7, 1], [4, 0], [-11, -1], [6, 0], [-1, -1]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$ | ${}$ | -2 | t^2.038 + t^2.302 + t^2.641 + t^2.906 + t^2.981 + t^3.359 + t^3.623 + t^3.887 + t^4.037 + 2*t^4.076 + 2*t^4.34 + t^4.415 + t^4.604 + t^4.679 + t^4.793 + 2*t^4.944 + t^5.019 + t^5.208 + 2*t^5.283 + t^5.396 + 2*t^5.661 + t^5.811 + t^5.886 + t^5.925 + t^5.962 - 2*t^6. + 2*t^6.114 + t^6.189 + t^6.264 + t^6.339 + 2*t^6.378 + 2*t^6.528 + 2*t^6.642 + t^6.679 + 2*t^6.717 + t^6.793 + t^6.831 + t^6.906 + 3*t^6.981 + t^7.018 + t^7.056 + t^7.095 + 3*t^7.246 + t^7.321 + 2*t^7.434 + 2*t^7.51 + t^7.585 + 3*t^7.699 + t^7.774 + t^7.849 + 2*t^7.924 + 3*t^7.963 + t^7.999 - 3*t^8.038 + t^8.074 + t^8.113 + 3*t^8.151 + t^8.189 + 2*t^8.227 + t^8.264 - 2*t^8.302 - t^8.377 + 3*t^8.416 + t^8.452 + t^8.491 + 2*t^8.566 - t^8.641 + 3*t^8.68 + t^8.717 + t^8.792 + t^8.83 + 2*t^8.831 + t^8.867 + 2*t^8.869 - 3*t^8.906 + t^8.942 + 2*t^8.944 - 3*t^8.981 - t^4.321/y - t^6.359/y - t^6.623/y - t^7.226/y - t^7.301/y + (2*t^7.34)/y + t^7.415/y + t^7.679/y + (2*t^7.944)/y + (2*t^8.019)/y + t^8.208/y + (2*t^8.283)/y + t^8.547/y + t^8.622/y + t^8.661/y + t^8.886/y + t^8.925/y - t^4.321*y - t^6.359*y - t^6.623*y - t^7.226*y - t^7.301*y + 2*t^7.34*y + t^7.415*y + t^7.679*y + 2*t^7.944*y + 2*t^8.019*y + t^8.208*y + 2*t^8.283*y + t^8.547*y + t^8.622*y + t^8.661*y + t^8.886*y + t^8.925*y | g1^6*t^2.038 + t^2.302/(g1*g2) + t^2.641/g1^4 + t^2.906/(g1^11*g2) + (g2*t^2.981)/g1^7 + g1^4*t^3.359 + t^3.623/(g1^3*g2) + t^3.887/(g1^10*g2^2) + (g2^2*t^4.037)/g1^2 + 2*g1^12*t^4.076 + (2*g1^5*t^4.34)/g2 + g1^9*g2*t^4.415 + t^4.604/(g1^2*g2^2) + g1^2*t^4.679 + g1^20*t^4.793 + (2*t^4.944)/(g1^5*g2) + (g2*t^5.019)/g1 + t^5.208/(g1^12*g2^2) + (2*t^5.283)/g1^8 + g1^10*t^5.396 + (2*g1^3*t^5.661)/g2 + t^5.811/(g1^22*g2^2) + t^5.886/g1^18 + t^5.925/(g1^4*g2^2) + (g2^2*t^5.962)/g1^14 - 2*t^6. + 2*g1^18*t^6.114 + t^6.189/(g1^11*g2^3) + t^6.264/(g1^7*g2) + (g2*t^6.339)/g1^3 + (2*g1^11*t^6.378)/g2 + (2*t^6.528)/(g1^14*g2^2) + (2*g1^4*t^6.642)/g2^2 + (g2^2*t^6.679)/g1^6 + 2*g1^8*t^6.717 + t^6.793/(g1^21*g2^3) + g1^26*t^6.831 + t^6.906/(g1^3*g2^3) + (3*g1*t^6.981)/g2 + (g2^3*t^7.018)/g1^9 + g1^5*g2*t^7.056 + (g1^19*t^7.095)/g2 + (3*t^7.246)/(g1^6*g2^2) + t^7.321/g1^2 + 2*g1^16*t^7.434 + (2*t^7.51)/(g1^13*g2^3) + t^7.585/(g1^9*g2) + (3*g1^9*t^7.699)/g2 + t^7.774/(g1^20*g2^4) + t^7.849/(g1^16*g2^2) + (2*t^7.924)/g1^12 + (3*g1^2*t^7.963)/g2^2 + (g2^2*t^7.999)/g1^8 - 3*g1^6*t^8.038 + (g2^4*t^8.074)/g1^4 + t^8.113/(g1^23*g2^3) + 3*g1^24*t^8.151 + t^8.189/(g1^19*g2) + (2*t^8.227)/(g1^5*g2^3) + (g2*t^8.264)/g1^15 - (2*t^8.302)/(g1*g2) - g1^3*g2*t^8.377 + (3*g1^17*t^8.416)/g2 + g1^7*g2^3*t^8.452 + t^8.491/(g1^12*g2^4) + (2*t^8.566)/(g1^8*g2^2) - t^8.641/g1^4 + (3*g1^10*t^8.68)/g2^2 + t^8.717/(g1^33*g2^3) + t^8.792/(g1^29*g2) + g1^18*g2^2*t^8.83 + (2*t^8.831)/(g1^15*g2^3) + (g2*t^8.867)/g1^25 + 2*g1^32*t^8.869 - (3*t^8.906)/(g1^11*g2) + (g2^3*t^8.942)/g1^21 + (2*g1^3*t^8.944)/g2^3 - (3*g2*t^8.981)/g1^7 - t^4.321/(g1^2*y) - (g1^4*t^6.359)/y - t^6.623/(g1^3*g2*y) - t^7.226/(g1^13*g2*y) - (g2*t^7.301)/(g1^9*y) + (2*g1^5*t^7.34)/(g2*y) + (g1^9*g2*t^7.415)/y + (g1^2*t^7.679)/y + (2*t^7.944)/(g1^5*g2*y) + (2*g2*t^8.019)/(g1*y) + t^8.208/(g1^12*g2^2*y) + (2*t^8.283)/(g1^8*y) + t^8.547/(g1^15*g2*y) + (g2*t^8.622)/(g1^11*y) + (g1^3*t^8.661)/(g2*y) + t^8.886/(g1^18*y) + t^8.925/(g1^4*g2^2*y) - (t^4.321*y)/g1^2 - g1^4*t^6.359*y - (t^6.623*y)/(g1^3*g2) - (t^7.226*y)/(g1^13*g2) - (g2*t^7.301*y)/g1^9 + (2*g1^5*t^7.34*y)/g2 + g1^9*g2*t^7.415*y + g1^2*t^7.679*y + (2*t^7.944*y)/(g1^5*g2) + (2*g2*t^8.019*y)/g1 + (t^8.208*y)/(g1^12*g2^2) + (2*t^8.283*y)/g1^8 + (t^8.547*y)/(g1^15*g2) + (g2*t^8.622*y)/g1^11 + (g1^3*t^8.661*y)/g2 + (t^8.886*y)/g1^18 + (t^8.925*y)/(g1^4*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 666 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ | 0.6469 | 0.8101 | 0.7985 | [M:[0.8118, 1.2, 0.7882, 0.8, 0.7882], q:[0.8, 0.3882], qb:[0.8, 0.4118], phi:[0.4]] | 2*t^2.365 + 2*t^2.4 + t^2.435 + t^3.529 + t^3.565 + t^3.6 + t^3.671 + 3*t^4.729 + 4*t^4.765 + 6*t^4.8 + 2*t^4.835 + t^4.871 + 2*t^5.894 + 3*t^5.929 + 3*t^5.965 - t^4.2/y - t^4.2*y | detail | |
| 665 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}q_{2}$ | 0.688 | 0.8543 | 0.8054 | [M:[0.9811, 1.1195, 0.9811, 0.6792, 0.7799], q:[0.7799, 0.4403], qb:[0.5786, 0.4403], phi:[0.4403]] | t^2.038 + t^2.34 + t^2.642 + 2*t^2.943 + t^3.358 + t^3.66 + 2*t^3.962 + 2*t^4.075 + 3*t^4.377 + 2*t^4.679 + t^4.792 + 3*t^4.981 + 3*t^5.283 + t^5.396 + 2*t^5.698 + 3*t^5.887 - t^6. - t^4.321/y - t^4.321*y | detail | {a: 30921/44944, c: 19197/22472, M1: 52/53, M2: 178/159, M3: 52/53, M4: 36/53, M5: 124/159, q1: 124/159, q2: 70/159, qb1: 92/159, qb2: 70/159, phi1: 70/159} |
| 668 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7089 | 0.895 | 0.7921 | [M:[0.9907, 1.1181, 0.9777, 0.6772, 0.7731, 0.6902], q:[0.7795, 0.4345], qb:[0.5749, 0.4474], phi:[0.4409]] | t^2.032 + t^2.071 + t^2.319 + t^2.646 + t^2.933 + t^2.972 + t^3.354 + t^3.642 + t^4.007 + 2*t^4.063 + t^4.102 + t^4.141 + 2*t^4.351 + 2*t^4.39 + t^4.638 + t^4.677 + t^4.716 + t^4.772 + 2*t^4.965 + 2*t^5.004 + t^5.042 + t^5.252 + 2*t^5.291 + t^5.386 + t^5.425 + 2*t^5.674 + t^5.712 + t^5.866 + t^5.905 + t^5.944 - 2*t^6. - t^4.323/y - t^4.323*y | detail | |
| 667 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.7056 | 0.8857 | 0.7967 | [M:[0.9833, 1.1185, 0.9833, 0.6778, 0.7796, 0.7796], q:[0.7796, 0.4407], qb:[0.576, 0.4407], phi:[0.4407]] | t^2.033 + 2*t^2.339 + t^2.644 + 2*t^2.95 + t^3.356 + 2*t^3.967 + 2*t^4.067 + 4*t^4.372 + 4*t^4.678 + t^4.778 + 4*t^4.983 + 5*t^5.289 + t^5.389 + 2*t^5.695 + 3*t^5.9 - 2*t^6. - t^4.322/y - t^4.322*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 |
|---|---|---|---|---|---|---|---|---|---|
| 262 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6704 | 0.8228 | 0.8147 | [M:[0.979, 1.1205, 0.979, 0.6807], q:[0.7801, 0.4398], qb:[0.5813, 0.4398], phi:[0.4398]] | t^2.042 + t^2.639 + 2*t^2.937 + t^3.361 + 2*t^3.66 + 2*t^3.958 + 2*t^4.084 + 2*t^4.382 + t^4.681 + t^4.807 + 2*t^4.979 + t^5.277 + t^5.403 + 2*t^5.702 + 3*t^5.874 - 2*t^6. - t^4.319/y - t^4.319*y | detail |