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 |
|---|---|---|---|---|---|---|---|---|---|
| 47052 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ | 0.708 | 0.8721 | 0.8119 | [M:[1.0068, 1.0721, 0.9932, 0.8491, 0.9279, 0.9279], q:[0.4245, 0.5687], qb:[0.5034, 0.5822], phi:[0.4803]] | [M:[[8, 0], [-12, 4], [-8, 0], [16, -8], [12, -4], [12, -4]], q:[[8, -4], [-16, 4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -3 | t^2.547 + 2*t^2.784 + t^2.882 + t^2.98 + t^3.02 + t^3.257 + t^3.988 + t^4.225 + t^4.421 + 2*t^4.461 + t^4.657 + t^4.698 + t^4.853 + t^4.894 + t^4.934 + t^5.095 + 2*t^5.331 + t^5.429 + 3*t^5.568 + 2*t^5.666 + t^5.764 + 2*t^5.804 + t^5.861 + t^5.902 - 3*t^6. + 2*t^6.041 + t^6.139 - t^6.196 - 2*t^6.236 + t^6.277 - t^6.432 - t^6.473 + t^6.514 + t^6.535 + 3*t^6.772 + t^6.87 + t^6.968 + 4*t^7.008 + t^7.204 + 5*t^7.245 + t^7.302 + t^7.343 + t^7.4 + t^7.441 + 4*t^7.481 - t^7.579 + t^7.637 + t^7.642 + 4*t^7.718 + t^7.735 + t^7.833 + 2*t^7.878 + 2*t^7.954 - t^7.971 + 2*t^7.976 - t^8.012 - t^8.052 + 3*t^8.115 + t^8.191 + 3*t^8.213 - t^8.311 + 4*t^8.351 + t^8.409 + 5*t^8.449 - 3*t^8.547 + 3*t^8.588 + 2*t^8.645 + 4*t^8.686 - 9*t^8.784 + 3*t^8.824 + t^8.841 - t^8.882 + 5*t^8.922 - 4*t^8.98 - t^4.441/y - t^6.988/y - t^7.225/y - t^7.323/y + t^7.559/y + t^7.657/y + t^7.894/y + (2*t^8.331)/y + t^8.429/y + t^8.527/y + (2*t^8.568)/y + (2*t^8.666)/y + (2*t^8.764)/y + (3*t^8.804)/y + t^8.861/y + t^8.902/y - t^4.441*y - t^6.988*y - t^7.225*y - t^7.323*y + t^7.559*y + t^7.657*y + t^7.894*y + 2*t^8.331*y + t^8.429*y + t^8.527*y + 2*t^8.568*y + 2*t^8.666*y + 2*t^8.764*y + 3*t^8.804*y + t^8.861*y + t^8.902*y | (g1^16*t^2.547)/g2^8 + (2*g1^12*t^2.784)/g2^4 + (g1^2*t^2.882)/g2^2 + t^2.98/g1^8 + g1^8*t^3.02 + g1^4*g2^4*t^3.257 + (g1^17*t^3.988)/g2^9 + (g1^13*t^4.225)/g2^5 + t^4.421/(g1^7*g2) + (2*g1^9*t^4.461)/g2 + (g2^3*t^4.657)/g1^11 + g1^5*g2^3*t^4.698 + (g2^7*t^4.853)/g1^31 + (g2^7*t^4.894)/g1^15 + g1*g2^7*t^4.934 + (g1^32*t^5.095)/g2^16 + (2*g1^28*t^5.331)/g2^12 + (g1^18*t^5.429)/g2^10 + (3*g1^24*t^5.568)/g2^8 + (2*g1^14*t^5.666)/g2^6 + (g1^4*t^5.764)/g2^4 + (2*g1^20*t^5.804)/g2^4 + t^5.861/(g1^6*g2^2) + (g1^10*t^5.902)/g2^2 - 3*t^6. + 2*g1^16*t^6.041 + g1^6*g2^2*t^6.139 - (g2^4*t^6.196)/g1^20 - (2*g2^4*t^6.236)/g1^4 + g1^12*g2^4*t^6.277 - (g2^8*t^6.432)/g1^24 - (g2^8*t^6.473)/g1^8 + g1^8*g2^8*t^6.514 + (g1^33*t^6.535)/g2^17 + (3*g1^29*t^6.772)/g2^13 + (g1^19*t^6.87)/g2^11 + (g1^9*t^6.968)/g2^9 + (4*g1^25*t^7.008)/g2^9 + (g1^5*t^7.204)/g2^5 + (5*g1^21*t^7.245)/g2^5 + t^7.302/(g1^5*g2^3) + (g1^11*t^7.343)/g2^3 + t^7.4/(g1^15*g2) + (g1*t^7.441)/g2 + (4*g1^17*t^7.481)/g2 - g1^7*g2*t^7.579 + (g2^3*t^7.637)/g1^19 + (g1^48*t^7.642)/g2^24 + 4*g1^13*g2^3*t^7.718 + (g2^5*t^7.735)/g1^29 + (g2^7*t^7.833)/g1^39 + (2*g1^44*t^7.878)/g2^20 + 2*g1^9*g2^7*t^7.954 - (g2^9*t^7.971)/g1^33 + (2*g1^34*t^7.976)/g2^18 - (g2^9*t^8.012)/g1^17 - (g2^9*t^8.052)/g1 + (3*g1^40*t^8.115)/g2^16 + g1^5*g2^11*t^8.191 + (3*g1^30*t^8.213)/g2^14 - (g1^20*t^8.311)/g2^12 + (4*g1^36*t^8.351)/g2^12 + (g1^10*t^8.409)/g2^10 + (5*g1^26*t^8.449)/g2^10 - (3*g1^16*t^8.547)/g2^8 + (3*g1^32*t^8.588)/g2^8 + (2*g1^6*t^8.645)/g2^6 + (4*g1^22*t^8.686)/g2^6 - (9*g1^12*t^8.784)/g2^4 + (3*g1^28*t^8.824)/g2^4 + t^8.841/(g1^14*g2^2) - (g1^2*t^8.882)/g2^2 + (5*g1^18*t^8.922)/g2^2 - (4*t^8.98)/g1^8 - (g1*t^4.441)/(g2*y) - (g1^17*t^6.988)/(g2^9*y) - (g1^13*t^7.225)/(g2^5*y) - (g1^3*t^7.323)/(g2^3*y) + (g2*t^7.559)/(g1*y) + (g2^3*t^7.657)/(g1^11*y) + (g2^7*t^7.894)/(g1^15*y) + (2*g1^28*t^8.331)/(g2^12*y) + (g1^18*t^8.429)/(g2^10*y) + (g1^8*t^8.527)/(g2^8*y) + (2*g1^24*t^8.568)/(g2^8*y) + (2*g1^14*t^8.666)/(g2^6*y) + (2*g1^4*t^8.764)/(g2^4*y) + (3*g1^20*t^8.804)/(g2^4*y) + t^8.861/(g1^6*g2^2*y) + (g1^10*t^8.902)/(g2^2*y) - (g1*t^4.441*y)/g2 - (g1^17*t^6.988*y)/g2^9 - (g1^13*t^7.225*y)/g2^5 - (g1^3*t^7.323*y)/g2^3 + (g2*t^7.559*y)/g1 + (g2^3*t^7.657*y)/g1^11 + (g2^7*t^7.894*y)/g1^15 + (2*g1^28*t^8.331*y)/g2^12 + (g1^18*t^8.429*y)/g2^10 + (g1^8*t^8.527*y)/g2^8 + (2*g1^24*t^8.568*y)/g2^8 + (2*g1^14*t^8.666*y)/g2^6 + (2*g1^4*t^8.764*y)/g2^4 + (3*g1^20*t^8.804*y)/g2^4 + (t^8.861*y)/(g1^6*g2^2) + (g1^10*t^8.902*y)/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 |
|---|---|---|---|---|---|---|---|---|
| 55123 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}M_{7}$ | 0.71 | 0.8743 | 0.8121 | [M:[1.0345, 1.0587, 0.9655, 0.8481, 0.9413, 0.9413, 0.9655], q:[0.424, 0.5415], qb:[0.5172, 0.6105], phi:[0.4767]] | t^2.544 + 2*t^2.824 + t^2.86 + 2*t^2.897 + t^3.383 + t^3.974 + t^4.254 + t^4.327 + 2*t^4.534 + t^4.606 + t^4.679 + t^4.813 + t^4.886 + t^5.088 + t^5.093 + 2*t^5.368 + t^5.404 + t^5.441 + 2*t^5.648 + 2*t^5.684 + 3*t^5.72 + 2*t^5.757 + 2*t^5.793 - 4*t^6. - t^4.43/y - t^4.43*y | detail | |
| 55245 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.6914 | 0.848 | 0.8153 | [M:[0.9958, 1.0025, 1.0042, 0.9992, 0.9975, 0.9975], q:[0.4996, 0.5047], qb:[0.4979, 0.4962], phi:[0.5004]] | t^2.982 + t^2.987 + 2*t^2.992 + t^2.997 + t^3.003 + t^3.013 + t^4.478 + t^4.483 + 2*t^4.489 + t^4.494 + t^4.499 + t^4.504 + t^4.509 + t^4.514 + t^4.529 + t^5.964 + t^5.969 + 2*t^5.975 + 2*t^5.98 + 4*t^5.985 + 2*t^5.99 + t^5.995 - 2*t^6. - t^4.501/y - t^4.501*y | detail | |
| 55226 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.7289 | 0.9135 | 0.7979 | [M:[1.0067, 1.0715, 0.9933, 0.8502, 0.9285, 0.9285, 0.6694], q:[0.4251, 0.5682], qb:[0.5033, 0.5816], phi:[0.4804]] | t^2.008 + t^2.551 + 2*t^2.785 + t^2.883 + t^2.98 + t^3.02 + t^3.255 + t^4.016 + t^4.227 + t^4.421 + 2*t^4.461 + t^4.559 + t^4.656 + t^4.696 + 2*t^4.793 + t^4.851 + 2*t^4.891 + t^4.931 + t^4.988 + t^5.028 + t^5.101 + t^5.263 + 2*t^5.336 + t^5.433 + 3*t^5.571 + 2*t^5.668 + t^5.765 + 2*t^5.805 + t^5.863 + t^5.903 - 3*t^6. - t^4.441/y - t^4.441*y | detail | |
| 55054 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.7046 | 0.8662 | 0.8135 | [M:[0.9999, 1.0679, 1.0001, 0.8644, 0.9321, 0.9321, 1.0339], q:[0.4322, 0.5679], qb:[0.4999, 0.5677], phi:[0.4831]] | t^2.593 + 2*t^2.796 + 2*t^3. + t^3.102 + t^3.203 + t^4.042 + t^4.246 + 3*t^4.449 + t^4.652 + t^4.653 + t^4.855 + t^4.856 + t^4.857 + t^5.186 + 2*t^5.39 + 3*t^5.593 + t^5.695 + 2*t^5.796 + 2*t^5.898 + 2*t^5.999 - 3*t^6. - t^4.449/y - t^4.449*y | detail | |
| 50910 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6707 | 0.8503 | 0.7887 | [M:[0.8749, 1.1963, 1.1251, 0.7324, 0.8037, 0.8037], q:[0.3662, 0.7589], qb:[0.4374, 0.5087], phi:[0.4822]] | t^2.197 + 2*t^2.411 + t^2.625 + t^2.838 + t^2.893 + t^3.375 + t^3.644 + t^3.858 + 2*t^4.071 + t^4.285 + t^4.395 + t^4.499 + 2*t^4.608 + 4*t^4.822 + 3*t^5.036 + t^5.09 + 3*t^5.249 + 2*t^5.304 + t^5.463 + t^5.518 + t^5.677 + t^5.731 + t^5.786 + t^5.841 - 2*t^6. - t^4.447/y - t^4.447*y | detail | |
| 51779 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.5654 | 0.7 | 0.8078 | [X:[1.3415], M:[1.2705, 1.0355, 0.7295, 0.6585, 0.9645, 0.9645], q:[0.3292, 0.4003], qb:[0.6352, 0.9413], phi:[0.4235]] | t^2.189 + t^2.541 + 2*t^2.893 + t^3.246 + t^3.459 + t^3.672 + t^3.811 + t^4.025 + t^4.377 + 2*t^4.73 + 3*t^5.082 + 2*t^5.434 + 3*t^5.787 + t^5.861 - t^6. - t^4.27/y - t^4.27*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46737 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ | 0.7024 | 0.8607 | 0.8161 | [M:[1.02, 1.0504, 0.98, 0.8793, 0.9496], q:[0.4396, 0.5404], qb:[0.51, 0.5803], phi:[0.4824]] | t^2.638 + t^2.849 + t^2.894 + t^2.94 + t^3.06 + t^3.151 + t^3.271 + t^4.085 + t^4.296 + t^4.387 + 2*t^4.507 + t^4.598 + t^4.69 + t^4.718 + t^4.809 + t^4.929 + t^5.276 + t^5.487 + t^5.532 + t^5.698 + t^5.743 + t^5.789 + t^5.835 + t^5.909 + t^5.954 - 2*t^6. - t^4.447/y - t^4.447*y | detail |