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 |
|---|---|---|---|---|---|---|---|---|---|
| 46667 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.6883 | 0.8554 | 0.8047 | [M:[0.9686, 0.9936, 1.1195, 0.6793, 0.7674], q:[0.5787, 0.4528], qb:[0.4277, 0.7799], phi:[0.4402]] | [M:[[1, -7], [-1, -11], [0, 4], [0, 6], [1, 3]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$ | ${}$ | -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 | g2^6*t^2.038 + g1*g2^3*t^2.302 + t^2.641/g2^4 + (g1*t^2.906)/g2^7 + t^2.981/(g1*g2^11) + g2^4*t^3.359 + g1*g2*t^3.623 + (g1^2*t^3.887)/g2^2 + t^4.037/(g1^2*g2^10) + 2*g2^12*t^4.076 + 2*g1*g2^9*t^4.34 + (g2^5*t^4.415)/g1 + g1^2*g2^6*t^4.604 + g2^2*t^4.679 + g2^20*t^4.793 + (2*g1*t^4.944)/g2 + t^5.019/(g1*g2^5) + (g1^2*t^5.208)/g2^4 + (2*t^5.283)/g2^8 + g2^10*t^5.396 + 2*g1*g2^7*t^5.661 + (g1^2*t^5.811)/g2^14 + t^5.886/g2^18 + g1^2*g2^4*t^5.925 + t^5.962/(g1^2*g2^22) - 2*t^6. + 2*g2^18*t^6.114 + g1^3*g2*t^6.189 + (g1*t^6.264)/g2^3 + t^6.339/(g1*g2^7) + 2*g1*g2^15*t^6.378 + (2*g1^2*t^6.528)/g2^6 + 2*g1^2*g2^12*t^6.642 + t^6.679/(g1^2*g2^14) + 2*g2^8*t^6.717 + (g1^3*t^6.793)/g2^9 + g2^26*t^6.831 + g1^3*g2^9*t^6.906 + 3*g1*g2^5*t^6.981 + t^7.018/(g1^3*g2^21) + (g2*t^7.056)/g1 + g1*g2^23*t^7.095 + 3*g1^2*g2^2*t^7.246 + t^7.321/g2^2 + 2*g2^16*t^7.434 + (2*g1^3*t^7.51)/g2 + (g1*t^7.585)/g2^5 + 3*g1*g2^13*t^7.699 + (g1^4*t^7.774)/g2^4 + (g1^2*t^7.849)/g2^8 + (2*t^7.924)/g2^12 + 3*g1^2*g2^10*t^7.963 + t^7.999/(g1^2*g2^16) - 3*g2^6*t^8.038 + t^8.074/(g1^4*g2^20) + (g1^3*t^8.113)/g2^11 + 3*g2^24*t^8.151 + (g1*t^8.189)/g2^15 + 2*g1^3*g2^7*t^8.227 + t^8.264/(g1*g2^19) - 2*g1*g2^3*t^8.302 - t^8.377/(g1*g2) + 3*g1*g2^21*t^8.416 + t^8.452/(g1^3*g2^5) + g1^4*g2^4*t^8.491 + 2*g1^2*t^8.566 - t^8.641/g2^4 + 3*g1^2*g2^18*t^8.68 + (g1^3*t^8.717)/g2^21 + (g1*t^8.792)/g2^25 + (g2^10*t^8.83)/g1^2 + (2*g1^3*t^8.831)/g2^3 + t^8.867/(g1*g2^29) + 2*g2^32*t^8.869 - (3*g1*t^8.906)/g2^7 + t^8.942/(g1^3*g2^33) + 2*g1^3*g2^15*t^8.944 - (3*t^8.981)/(g1*g2^11) - t^4.321/(g2^2*y) - (g2^4*t^6.359)/y - (g1*g2*t^6.623)/y - (g1*t^7.226)/(g2^9*y) - t^7.301/(g1*g2^13*y) + (2*g1*g2^9*t^7.34)/y + (g2^5*t^7.415)/(g1*y) + (g2^2*t^7.679)/y + (2*g1*t^7.944)/(g2*y) + (2*t^8.019)/(g1*g2^5*y) + (g1^2*t^8.208)/(g2^4*y) + (2*t^8.283)/(g2^8*y) + (g1*t^8.547)/(g2^11*y) + t^8.622/(g1*g2^15*y) + (g1*g2^7*t^8.661)/y + t^8.886/(g2^18*y) + (g1^2*g2^4*t^8.925)/y - (t^4.321*y)/g2^2 - g2^4*t^6.359*y - g1*g2*t^6.623*y - (g1*t^7.226*y)/g2^9 - (t^7.301*y)/(g1*g2^13) + 2*g1*g2^9*t^7.34*y + (g2^5*t^7.415*y)/g1 + g2^2*t^7.679*y + (2*g1*t^7.944*y)/g2 + (2*t^8.019*y)/(g1*g2^5) + (g1^2*t^8.208*y)/g2^4 + (2*t^8.283*y)/g2^8 + (g1*t^8.547*y)/g2^11 + (t^8.622*y)/(g1*g2^15) + g1*g2^7*t^8.661*y + (t^8.886*y)/g2^18 + g1^2*g2^4*t^8.925*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 |
|---|---|---|---|---|---|---|---|---|
| 47095 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.688 | 0.8543 | 0.8054 | [M:[0.9811, 0.9811, 1.1195, 0.6792, 0.7799], q:[0.5786, 0.4403], qb:[0.4403, 0.7799], 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: 52/53, M3: 178/159, M4: 36/53, M5: 124/159, q1: 92/159, q2: 70/159, qb1: 70/159, qb2: 124/159, phi1: 70/159} |
| 46946 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7089 | 0.895 | 0.7921 | [M:[0.9777, 0.9907, 1.1181, 0.6772, 0.7731, 0.6902], q:[0.5749, 0.4474], qb:[0.4345, 0.7795], 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 | |
| 48126 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6469 | 0.8101 | 0.7985 | [M:[0.7882, 0.8118, 1.2, 0.8, 0.7882], q:[0.8, 0.4118], qb:[0.3882, 0.8], 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46331 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6704 | 0.8228 | 0.8147 | [M:[0.979, 0.979, 1.1205, 0.6807], q:[0.5813, 0.4398], qb:[0.4398, 0.7801], 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 |