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 |
|---|---|---|---|---|---|---|---|---|---|
| 4783 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6906 | 0.8676 | 0.796 | [M:[0.994, 0.7784, 0.9401, 0.8323, 1.1677, 1.1138, 0.7246, 0.8323], q:[0.6168, 0.3892], qb:[0.4431, 0.7784], phi:[0.4431]] | [M:[[-18], [2], [-13], [-3], [3], [8], [7], [-3]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$ | ${}$ | -2 | t^2.174 + t^2.335 + 2*t^2.497 + t^2.82 + t^2.982 + t^3.341 + t^3.665 + t^3.988 + t^4.186 + 2*t^4.347 + 2*t^4.509 + 3*t^4.671 + 2*t^4.832 + 4*t^4.994 + t^5.03 + 2*t^5.156 + 2*t^5.317 + t^5.479 + t^5.515 + t^5.641 + t^5.677 + t^5.802 + 2*t^5.838 + t^5.964 - 2*t^6. + 2*t^6.162 + t^6.323 + t^6.359 + 2*t^6.485 + 2*t^6.521 + 4*t^6.683 + 4*t^6.844 + t^6.97 + 4*t^7.006 + 5*t^7.168 + t^7.204 + 5*t^7.329 + t^7.366 + 6*t^7.491 + 2*t^7.527 + 3*t^7.653 + t^7.689 + 3*t^7.814 + t^7.85 + 4*t^7.976 + 2*t^8.012 + 3*t^8.138 - 2*t^8.174 + 2*t^8.299 + t^8.372 + 2*t^8.461 - 3*t^8.497 + t^8.533 + t^8.622 + 2*t^8.659 + 3*t^8.695 + t^8.784 - 2*t^8.82 + 3*t^8.856 + t^8.946 - t^4.329/y - t^6.503/y - t^6.665/y - t^6.826/y - t^7.15/y - t^7.311/y + t^7.347/y + (2*t^7.509)/y + (2*t^7.671)/y + (3*t^7.832)/y + (3*t^7.994)/y + (3*t^8.156)/y + (3*t^8.317)/y + (2*t^8.479)/y + t^8.515/y + t^8.802/y + (2*t^8.838)/y - t^4.329*y - t^6.503*y - t^6.665*y - t^6.826*y - t^7.15*y - t^7.311*y + t^7.347*y + 2*t^7.509*y + 2*t^7.671*y + 3*t^7.832*y + 3*t^7.994*y + 3*t^8.156*y + 3*t^8.317*y + 2*t^8.479*y + t^8.515*y + t^8.802*y + 2*t^8.838*y | g1^7*t^2.174 + g1^2*t^2.335 + (2*t^2.497)/g1^3 + t^2.82/g1^13 + t^2.982/g1^18 + g1^8*t^3.341 + t^3.665/g1^2 + t^3.988/g1^12 + g1^19*t^4.186 + 2*g1^14*t^4.347 + 2*g1^9*t^4.509 + 3*g1^4*t^4.671 + (2*t^4.832)/g1 + (4*t^4.994)/g1^6 + g1^30*t^5.03 + (2*t^5.156)/g1^11 + (2*t^5.317)/g1^16 + t^5.479/g1^21 + g1^15*t^5.515 + t^5.641/g1^26 + g1^10*t^5.677 + t^5.802/g1^31 + 2*g1^5*t^5.838 + t^5.964/g1^36 - 2*t^6. + (2*t^6.162)/g1^5 + t^6.323/g1^10 + g1^26*t^6.359 + (2*t^6.485)/g1^15 + 2*g1^21*t^6.521 + 4*g1^16*t^6.683 + 4*g1^11*t^6.844 + t^6.97/g1^30 + 4*g1^6*t^7.006 + 5*g1*t^7.168 + g1^37*t^7.204 + (5*t^7.329)/g1^4 + g1^32*t^7.366 + (6*t^7.491)/g1^9 + 2*g1^27*t^7.527 + (3*t^7.653)/g1^14 + g1^22*t^7.689 + (3*t^7.814)/g1^19 + g1^17*t^7.85 + (4*t^7.976)/g1^24 + 2*g1^12*t^8.012 + (3*t^8.138)/g1^29 - 2*g1^7*t^8.174 + (2*t^8.299)/g1^34 + g1^38*t^8.372 + (2*t^8.461)/g1^39 - (3*t^8.497)/g1^3 + g1^33*t^8.533 + t^8.622/g1^44 + (2*t^8.659)/g1^8 + 3*g1^28*t^8.695 + t^8.784/g1^49 - (2*t^8.82)/g1^13 + 3*g1^23*t^8.856 + t^8.946/g1^54 - t^4.329/(g1^4*y) - (g1^3*t^6.503)/y - t^6.665/(g1^2*y) - t^6.826/(g1^7*y) - t^7.15/(g1^17*y) - t^7.311/(g1^22*y) + (g1^14*t^7.347)/y + (2*g1^9*t^7.509)/y + (2*g1^4*t^7.671)/y + (3*t^7.832)/(g1*y) + (3*t^7.994)/(g1^6*y) + (3*t^8.156)/(g1^11*y) + (3*t^8.317)/(g1^16*y) + (2*t^8.479)/(g1^21*y) + (g1^15*t^8.515)/y + t^8.802/(g1^31*y) + (2*g1^5*t^8.838)/y - (t^4.329*y)/g1^4 - g1^3*t^6.503*y - (t^6.665*y)/g1^2 - (t^6.826*y)/g1^7 - (t^7.15*y)/g1^17 - (t^7.311*y)/g1^22 + g1^14*t^7.347*y + 2*g1^9*t^7.509*y + 2*g1^4*t^7.671*y + (3*t^7.832*y)/g1 + (3*t^7.994*y)/g1^6 + (3*t^8.156*y)/g1^11 + (3*t^8.317*y)/g1^16 + (2*t^8.479*y)/g1^21 + g1^15*t^8.515*y + (t^8.802*y)/g1^31 + 2*g1^5*t^8.838*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 |
|---|---|---|---|---|---|---|---|---|
| 6414 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{9}$ | 0.6729 | 0.836 | 0.8048 | [M:[0.9901, 0.7789, 0.9373, 0.8317, 1.1683, 1.1155, 0.7261, 0.8317, 1.2211], q:[0.6205, 0.3894], qb:[0.4422, 0.7789], phi:[0.4422]] | t^2.178 + 2*t^2.495 + t^2.812 + t^2.97 + t^3.347 + 2*t^3.663 + t^3.98 + t^4.198 + 2*t^4.356 + t^4.515 + 2*t^4.673 + 4*t^4.99 + t^5.05 + t^5.149 + t^5.307 + t^5.465 + t^5.525 + t^5.624 + t^5.782 + 3*t^5.842 + t^5.941 - 3*t^6. - t^4.327/y - t^4.327*y | detail | {a: 329467/489648, c: 204679/244824, M1: 100/101, M2: 236/303, M3: 284/303, M4: 84/101, M5: 118/101, M6: 338/303, M7: 220/303, M8: 84/101, M9: 370/303, q1: 188/303, q2: 118/303, qb1: 134/303, qb2: 236/303, phi1: 134/303} |
| 6415 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{9}$ | 0.6865 | 0.8622 | 0.7962 | [M:[1.0381, 0.7735, 0.972, 0.8397, 1.1603, 1.0942, 0.7074, 0.8397, 1.028], q:[0.5751, 0.3868], qb:[0.4529, 0.7735], phi:[0.4529]] | t^2.122 + t^2.321 + 2*t^2.519 + t^3.084 + t^3.114 + t^3.283 + t^3.679 + t^4.046 + t^4.076 + 2*t^4.244 + 2*t^4.443 + 3*t^4.641 + t^4.81 + 2*t^4.84 + 3*t^5.038 + t^5.206 + t^5.236 + 2*t^5.405 + 3*t^5.603 + t^5.633 + 2*t^5.802 - 2*t^6. - t^4.359/y - t^4.359*y | detail | |
| 6416 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.7083 | 0.8992 | 0.7877 | [M:[0.9978, 0.778, 0.9429, 0.833, 1.167, 1.1121, 0.7231, 0.833, 0.778], q:[0.6132, 0.389], qb:[0.444, 0.778], phi:[0.444]] | t^2.169 + 2*t^2.334 + 2*t^2.499 + t^2.829 + t^2.993 + t^3.336 + t^3.996 + t^4.174 + 2*t^4.338 + 3*t^4.503 + 5*t^4.668 + 4*t^4.833 + 4*t^4.998 + t^5.011 + 3*t^5.163 + 3*t^5.327 + t^5.492 + t^5.505 + t^5.657 + 2*t^5.67 + t^5.822 + t^5.835 + t^5.987 - 3*t^6. - t^4.332/y - t^4.332*y | detail | |
| 6417 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7114 | 0.909 | 0.7826 | [M:[0.9948, 0.7784, 0.9407, 0.8325, 1.1675, 1.1134, 0.7242, 0.8325, 0.6701], q:[0.616, 0.3892], qb:[0.4433, 0.7784], phi:[0.4433]] | t^2.01 + t^2.173 + t^2.335 + 2*t^2.497 + t^2.822 + t^2.984 + t^3.34 + t^3.665 + t^4.021 + 2*t^4.183 + 3*t^4.345 + 4*t^4.508 + 3*t^4.67 + 3*t^4.832 + 5*t^4.995 + t^5.026 + 2*t^5.157 + 2*t^5.32 + t^5.351 + t^5.482 + t^5.513 + t^5.644 + 2*t^5.675 + t^5.807 + 2*t^5.838 + t^5.969 - 2*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2648 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ | 0.6916 | 0.8693 | 0.7956 | [M:[1.0001, 0.752, 0.909, 0.843, 1.157, 1.124, 0.719, 0.843], q:[0.624, 0.376], qb:[0.467, 0.781], phi:[0.438]] | t^2.157 + t^2.256 + 2*t^2.529 + t^2.727 + t^3. + t^3.372 + t^3.57 + t^4.116 + t^4.215 + 2*t^4.314 + t^4.413 + t^4.512 + t^4.587 + 2*t^4.686 + 2*t^4.785 + t^4.884 + t^4.983 + 4*t^5.058 + t^5.157 + 2*t^5.256 + t^5.454 + 2*t^5.529 + t^5.628 + t^5.727 + t^5.826 + 2*t^5.901 - 2*t^6. - t^4.314/y - t^4.314*y | detail |