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 |
|---|---|---|---|---|---|---|---|---|---|
| 579 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7283 | 0.8957 | 0.8131 | [M:[0.9749, 0.82, 1.0251, 0.7699, 0.9749], q:[0.4487, 0.5763], qb:[0.5262, 0.6538], phi:[0.4487]] | [M:[[1, -1], [-1, -3], [-1, 1], [1, -5], [1, -1]], q:[[0, -1], [-1, 2]], qb:[[1, 0], [0, 3]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$ | ${}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | -2 | t^2.31 + t^2.46 + t^2.692 + 2*t^2.925 + 2*t^3.308 + t^4.039 + t^4.271 + t^4.421 + t^4.503 + t^4.62 + 2*t^4.654 + t^4.77 + t^4.804 + t^4.886 + t^4.92 + t^5.002 + t^5.036 + t^5.153 + 2*t^5.235 + t^5.269 + 2*t^5.385 + 2*t^5.617 + 2*t^5.85 - 2*t^6. - t^6.15 + 2*t^6.232 + t^6.349 - 2*t^6.383 + t^6.499 + t^6.581 + t^6.615 + 2*t^6.731 + t^6.813 + t^6.882 + t^6.929 + 4*t^6.964 + t^7.08 + 2*t^7.114 + 3*t^7.196 + t^7.23 + t^7.264 + t^7.312 + 3*t^7.346 + t^7.38 + 2*t^7.428 + t^7.462 + t^7.497 + 2*t^7.544 + 3*t^7.579 + t^7.613 + 2*t^7.695 + t^7.729 + 2*t^7.811 + 2*t^7.845 + 2*t^7.927 + t^7.961 + 2*t^8.077 + 2*t^8.159 + t^8.194 - t^8.344 - 3*t^8.46 + 2*t^8.542 - t^8.61 + t^8.658 - 3*t^8.692 + 3*t^8.775 + t^8.809 - t^8.843 + t^8.891 - 5*t^8.925 + t^8.959 - t^4.346/y - t^6.656/y - t^6.806/y - t^7.039/y - t^7.271/y + t^7.421/y + t^7.654/y + t^7.77/y + t^7.886/y + t^8.002/y + t^8.036/y + t^8.153/y + (2*t^8.235)/y + (2*t^8.385)/y + (4*t^8.617)/y + (2*t^8.768)/y + t^8.85/y - t^8.966/y - t^4.346*y - t^6.656*y - t^6.806*y - t^7.039*y - t^7.271*y + t^7.421*y + t^7.654*y + t^7.77*y + t^7.886*y + t^8.002*y + t^8.036*y + t^8.153*y + 2*t^8.235*y + 2*t^8.385*y + 4*t^8.617*y + 2*t^8.768*y + t^8.85*y - t^8.966*y | (g1*t^2.31)/g2^5 + t^2.46/(g1*g2^3) + t^2.692/g2^2 + (2*g1*t^2.925)/g2 + 2*g2^2*t^3.308 + t^4.039/g2^3 + (g1*t^4.271)/g2^2 + t^4.421/g1 + (g1^2*t^4.503)/g2 + (g1^2*t^4.62)/g2^10 + 2*g2*t^4.654 + t^4.77/g2^8 + (g2^3*t^4.804)/g1^2 + g1*g2^2*t^4.886 + t^4.92/(g1^2*g2^6) + (g1*t^5.002)/g2^7 + (g2^4*t^5.036)/g1 + t^5.153/(g1*g2^5) + (2*g1^2*t^5.235)/g2^6 + g2^5*t^5.269 + (2*t^5.385)/g2^4 + (2*g1*t^5.617)/g2^3 + (2*g1^2*t^5.85)/g2^2 - 2*t^6. - (g2^2*t^6.15)/g1^2 + 2*g1*g2*t^6.232 + (g1*t^6.349)/g2^8 - (2*g2^3*t^6.383)/g1 + t^6.499/(g1*g2^6) + (g1^2*t^6.581)/g2^7 + g2^4*t^6.615 + (2*t^6.731)/g2^5 + (g1^3*t^6.813)/g2^6 + t^6.882/(g1^2*g2^3) + (g1^3*t^6.929)/g2^15 + (4*g1*t^6.964)/g2^4 + (g1*t^7.08)/g2^13 + (2*t^7.114)/(g1*g2^2) + (3*g1^2*t^7.196)/g2^3 + t^7.23/(g1*g2^11) + t^7.264/g1^3 + (g1^2*t^7.312)/g2^12 + (3*t^7.346)/g2 + t^7.38/(g1^3*g2^9) + (2*g1^3*t^7.428)/g2^2 + t^7.462/g2^10 + (g2*t^7.497)/g1^2 + (2*g1^3*t^7.544)/g2^11 + 3*g1*t^7.579 + t^7.613/(g1^2*g2^8) + (2*g1*t^7.695)/g2^9 + (g2^2*t^7.729)/g1 + 2*g1^2*g2*t^7.811 + (2*t^7.845)/(g1*g2^7) + (2*g1^2*t^7.927)/g2^8 + g2^3*t^7.961 + (2*t^8.077)/g2^6 + (2*g1^3*t^8.159)/g2^7 + g1*g2^4*t^8.194 - (g2^6*t^8.344)/g1 - (3*t^8.46)/(g1*g2^3) + (2*g1^2*t^8.542)/g2^4 - t^8.61/(g1^3*g2) + (g1^2*t^8.658)/g2^13 - (3*t^8.692)/g2^2 + (3*g1^3*t^8.775)/g2^3 + t^8.809/g2^11 - t^8.843/g1^2 + (g1^3*t^8.891)/g2^12 - (5*g1*t^8.925)/g2 + t^8.959/(g1^2*g2^9) - t^4.346/(g2*y) - (g1*t^6.656)/(g2^6*y) - t^6.806/(g1*g2^4*y) - t^7.039/(g2^3*y) - (g1*t^7.271)/(g2^2*y) + t^7.421/(g1*y) + (g2*t^7.654)/y + t^7.77/(g2^8*y) + (g1*g2^2*t^7.886)/y + (g1*t^8.002)/(g2^7*y) + (g2^4*t^8.036)/(g1*y) + t^8.153/(g1*g2^5*y) + (2*g1^2*t^8.235)/(g2^6*y) + (2*t^8.385)/(g2^4*y) + (4*g1*t^8.617)/(g2^3*y) + (2*t^8.768)/(g1*g2*y) + (g1^2*t^8.85)/(g2^2*y) - (g1^2*t^8.966)/(g2^11*y) - (t^4.346*y)/g2 - (g1*t^6.656*y)/g2^6 - (t^6.806*y)/(g1*g2^4) - (t^7.039*y)/g2^3 - (g1*t^7.271*y)/g2^2 + (t^7.421*y)/g1 + g2*t^7.654*y + (t^7.77*y)/g2^8 + g1*g2^2*t^7.886*y + (g1*t^8.002*y)/g2^7 + (g2^4*t^8.036*y)/g1 + (t^8.153*y)/(g1*g2^5) + (2*g1^2*t^8.235*y)/g2^6 + (2*t^8.385*y)/g2^4 + (4*g1*t^8.617*y)/g2^3 + (2*t^8.768*y)/(g1*g2) + (g1^2*t^8.85*y)/g2^2 - (g1^2*t^8.966*y)/g2^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 894 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7035 | 0.8667 | 0.8116 | [M:[0.925, 1.025, 1.075, 0.875, 0.925], q:[0.4875, 0.5875], qb:[0.4375, 0.5375], phi:[0.4875]] | t^2.625 + 2*t^2.775 + t^2.925 + 3*t^3.075 + t^4.088 + t^4.238 + 2*t^4.388 + 2*t^4.537 + 2*t^4.687 + t^4.837 + t^4.987 + t^5.25 + 2*t^5.4 + 3*t^5.55 + 3*t^5.7 + 4*t^5.85 - t^6. - t^4.463/y - t^4.463*y | detail | |
| 895 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.7115 | 0.8652 | 0.8224 | [M:[0.993, 0.8397, 1.007, 0.8257, 0.993, 1.1743], q:[0.4582, 0.5488], qb:[0.5348, 0.6254], phi:[0.4582]] | t^2.519 + t^2.749 + 2*t^2.979 + 2*t^3.251 + t^3.523 + t^4.124 + t^4.354 + t^4.396 + t^4.583 + 2*t^4.625 + t^4.667 + t^4.855 + t^4.897 + t^5.038 + t^5.127 + t^5.268 + 2*t^5.498 + 2*t^5.958 - 2*t^6. - t^4.375/y - t^4.375*y | detail | |
| 893 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.6935 | 0.8487 | 0.8171 | [M:[1.0319, 0.9469, 0.9681, 1.0106, 1.0319], q:[0.4947, 0.4734], qb:[0.5372, 0.5159], phi:[0.4947]] | t^2.841 + t^2.968 + 3*t^3.032 + 2*t^3.096 + t^4.325 + t^4.388 + 2*t^4.452 + 2*t^4.516 + 2*t^4.58 + t^4.643 + t^4.707 + t^5.681 + t^5.872 - t^6. - t^4.484/y - t^4.484*y | detail | |
| 897 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.7195 | 0.8802 | 0.8175 | [M:[0.9747, 0.8444, 1.0253, 0.7937, 0.9747, 1.0905], q:[0.4548, 0.5706], qb:[0.5199, 0.6357], phi:[0.4548]] | t^2.381 + t^2.533 + 2*t^2.924 + 3*t^3.271 + t^4.093 + t^4.288 + t^4.44 + t^4.484 + 2*t^4.636 + t^4.762 + t^4.788 + t^4.831 + t^4.914 + t^4.983 + t^5.066 + t^5.179 + 2*t^5.305 + t^5.457 + t^5.653 + t^5.805 + 2*t^5.848 - 4*t^6. - t^4.364/y - t^4.364*y | detail | |
| 1934 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.6342 | 0.7835 | 0.8094 | [X:[1.6111], M:[0.8334, 0.722, 1.1666, 0.3889, 0.8334], q:[0.3889, 0.7777], qb:[0.4446, 0.8334], phi:[0.3889]] | t^2.166 + t^2.333 + 2*t^2.5 + t^3.5 + 3*t^3.667 + t^3.834 + t^4.332 + t^4.499 + 3*t^4.666 + 3*t^4.833 + 3*t^5.001 + t^5.666 + 2*t^5.833 + t^6. - t^4.167/y - t^4.167*y | detail | |
| 1932 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.6381 | 0.7898 | 0.8079 | [X:[1.5044], M:[0.7863, 0.9229, 1.2137, 0.4956, 0.7863], q:[0.4273, 0.7863], qb:[0.359, 0.7181], phi:[0.4273]] | 2*t^2.359 + t^2.564 + t^2.769 + 3*t^3.436 + t^3.641 + t^3.846 + 2*t^4.513 + 4*t^4.718 + t^4.923 + 2*t^5.128 + t^5.332 + t^5.537 + t^5.59 + 5*t^5.795 + t^6. - t^4.282/y - t^4.282*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 |
|---|---|---|---|---|---|---|---|---|---|
| 365 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ | 0.7284 | 0.8958 | 0.8131 | [M:[0.9752, 0.8187, 1.0248, 0.7691, 0.9752], q:[0.4541, 0.5707], qb:[0.5212, 0.6602], phi:[0.4485]] | t^2.307 + t^2.456 + t^2.691 + 2*t^2.926 + t^3.276 + t^3.343 + t^4.07 + t^4.271 + t^4.42 + t^4.472 + t^4.615 + t^4.621 + t^4.688 + t^4.763 + t^4.77 + t^4.889 + t^4.912 + t^4.998 + t^5.038 + t^5.147 + 2*t^5.233 + t^5.306 + 2*t^5.382 + 2*t^5.616 + 2*t^5.851 + t^5.967 - 4*t^6. - t^4.345/y - t^4.345*y | detail |