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 |
|---|---|---|---|---|---|---|---|---|---|
| 4711 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6773 | 0.8508 | 0.7962 | [X:[1.3241], M:[1.1265, 0.6759, 0.6898, 1.1127, 0.8873, 0.9151, 0.8735, 0.8735], q:[0.5355, 0.338], qb:[0.7747, 0.5494], phi:[0.4506]] | [X:[[6]], M:[[-10], [-6], [-15], [-1], [1], [-17], [10], [10]], q:[[13], [-3]], qb:[[2], [4]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{8}$ | ${}$ | -2 | t^2.069 + 2*t^2.62 + t^2.662 + t^2.704 + t^2.745 + t^3.338 + 2*t^3.972 + t^4.014 + t^4.139 + t^4.565 + t^4.607 + t^4.648 + 2*t^4.69 + t^4.731 + t^4.773 + t^4.814 + 3*t^5.241 + 2*t^5.283 + 3*t^5.324 + 2*t^5.366 + 2*t^5.407 + t^5.449 + t^5.49 + t^5.958 - 2*t^6. + t^6.042 + 2*t^6.083 + t^6.208 + 2*t^6.593 + 2*t^6.634 + 2*t^6.676 + 2*t^6.717 + 2*t^6.759 + t^6.801 + t^6.842 + t^6.884 + 2*t^7.186 + 2*t^7.227 + 2*t^7.269 + 4*t^7.31 + 2*t^7.352 + 3*t^7.393 + 2*t^7.435 + 2*t^7.476 + t^7.518 + t^7.56 + 3*t^7.861 + 2*t^7.903 + 4*t^7.945 + 3*t^7.986 + 3*t^8.028 + 3*t^8.111 + 3*t^8.152 + t^8.194 + t^8.236 + t^8.277 + t^8.537 + t^8.579 - 4*t^8.62 - 2*t^8.662 - t^8.704 - t^8.745 + 2*t^8.787 + 3*t^8.828 + t^8.87 + t^8.911 + t^8.953 - t^4.352/y - t^6.421/y - t^6.972/y - t^7.055/y - t^7.097/y + t^7.607/y + t^7.648/y + (2*t^7.69)/y + (2*t^7.731)/y + t^7.773/y + t^7.814/y + t^8.241/y + (3*t^8.283)/y + (2*t^8.324)/y + (3*t^8.366)/y + (2*t^8.407)/y + t^8.449/y - t^8.49/y + (2*t^8.958)/y - t^4.352*y - t^6.421*y - t^6.972*y - t^7.055*y - t^7.097*y + t^7.607*y + t^7.648*y + 2*t^7.69*y + 2*t^7.731*y + t^7.773*y + t^7.814*y + t^8.241*y + 3*t^8.283*y + 2*t^8.324*y + 3*t^8.366*y + 2*t^8.407*y + t^8.449*y - t^8.49*y + 2*t^8.958*y | t^2.069/g1^15 + 2*g1^10*t^2.62 + g1*t^2.662 + t^2.704/g1^8 + t^2.745/g1^17 + t^3.338/g1 + 2*g1^6*t^3.972 + t^4.014/g1^3 + t^4.139/g1^30 + g1^22*t^4.565 + g1^13*t^4.607 + g1^4*t^4.648 + (2*t^4.69)/g1^5 + t^4.731/g1^14 + t^4.773/g1^23 + t^4.814/g1^32 + 3*g1^20*t^5.241 + 2*g1^11*t^5.283 + 3*g1^2*t^5.324 + (2*t^5.366)/g1^7 + (2*t^5.407)/g1^16 + t^5.449/g1^25 + t^5.49/g1^34 + g1^9*t^5.958 - 2*t^6. + t^6.042/g1^9 + (2*t^6.083)/g1^18 + t^6.208/g1^45 + 2*g1^16*t^6.593 + 2*g1^7*t^6.634 + (2*t^6.676)/g1^2 + (2*t^6.717)/g1^11 + (2*t^6.759)/g1^20 + t^6.801/g1^29 + t^6.842/g1^38 + t^6.884/g1^47 + 2*g1^32*t^7.186 + 2*g1^23*t^7.227 + 2*g1^14*t^7.269 + 4*g1^5*t^7.31 + (2*t^7.352)/g1^4 + (3*t^7.393)/g1^13 + (2*t^7.435)/g1^22 + (2*t^7.476)/g1^31 + t^7.518/g1^40 + t^7.56/g1^49 + 3*g1^30*t^7.861 + 2*g1^21*t^7.903 + 4*g1^12*t^7.945 + 3*g1^3*t^7.986 + (3*t^8.028)/g1^6 + (3*t^8.111)/g1^24 + (3*t^8.152)/g1^33 + t^8.194/g1^42 + t^8.236/g1^51 + t^8.277/g1^60 + g1^28*t^8.537 + g1^19*t^8.579 - 4*g1^10*t^8.62 - 2*g1*t^8.662 - t^8.704/g1^8 - t^8.745/g1^17 + (2*t^8.787)/g1^26 + (3*t^8.828)/g1^35 + t^8.87/g1^44 + t^8.911/g1^53 + t^8.953/g1^62 - t^4.352/(g1^4*y) - t^6.421/(g1^19*y) - (g1^6*t^6.972)/y - t^7.055/(g1^12*y) - t^7.097/(g1^21*y) + (g1^13*t^7.607)/y + (g1^4*t^7.648)/y + (2*t^7.69)/(g1^5*y) + (2*t^7.731)/(g1^14*y) + t^7.773/(g1^23*y) + t^7.814/(g1^32*y) + (g1^20*t^8.241)/y + (3*g1^11*t^8.283)/y + (2*g1^2*t^8.324)/y + (3*t^8.366)/(g1^7*y) + (2*t^8.407)/(g1^16*y) + t^8.449/(g1^25*y) - t^8.49/(g1^34*y) + (2*g1^9*t^8.958)/y - (t^4.352*y)/g1^4 - (t^6.421*y)/g1^19 - g1^6*t^6.972*y - (t^7.055*y)/g1^12 - (t^7.097*y)/g1^21 + g1^13*t^7.607*y + g1^4*t^7.648*y + (2*t^7.69*y)/g1^5 + (2*t^7.731*y)/g1^14 + (t^7.773*y)/g1^23 + (t^7.814*y)/g1^32 + g1^20*t^8.241*y + 3*g1^11*t^8.283*y + 2*g1^2*t^8.324*y + (3*t^8.366*y)/g1^7 + (2*t^8.407*y)/g1^16 + (t^8.449*y)/g1^25 - (t^8.49*y)/g1^34 + 2*g1^9*t^8.958*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 |
|---|---|---|---|---|---|---|---|---|
| 6309 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{9}$ | 0.6567 | 0.8111 | 0.8096 | [X:[1.3214], M:[1.131, 0.6786, 0.6965, 1.1131, 0.8869, 0.9227, 0.869, 0.869, 1.3035], q:[0.5297, 0.3393], qb:[0.7738, 0.5476], phi:[0.4524]] | 2*t^2.607 + t^2.661 + t^2.714 + t^2.768 + t^3.339 + t^3.911 + 2*t^3.964 + t^4.018 + t^4.536 + t^4.589 + t^4.643 + 3*t^5.214 + 2*t^5.268 + 3*t^5.321 + 2*t^5.375 + t^5.429 + t^5.482 + t^5.536 + t^5.946 - 2*t^6. - t^4.357/y - t^4.357*y | detail | |
| 6311 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}M_{9}$ | 0.6672 | 0.8336 | 0.8004 | [X:[1.325], M:[1.125, 0.675, 0.6874, 1.1125, 0.8875, 0.9124, 0.875, 0.875, 1.1125], q:[0.5376, 0.3375], qb:[0.775, 0.55], phi:[0.45]] | t^2.062 + 2*t^2.625 + t^2.7 + t^2.737 + 2*t^3.337 + 2*t^3.975 + t^4.012 + t^4.125 + t^4.575 + t^4.613 + t^4.65 + 2*t^4.687 + t^4.762 + t^4.8 + 3*t^5.25 + 2*t^5.325 + t^5.362 + 2*t^5.4 + t^5.437 + t^5.475 + 3*t^5.963 - 3*t^6. - t^4.35/y - t^4.35*y | detail | |
| 6312 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{9}$ | 0.6718 | 0.8427 | 0.7972 | [X:[1.3062], M:[1.1563, 0.6938, 0.7344, 1.1156, 0.8844, 0.9656, 0.8437, 0.8437, 1.0344], q:[0.4969, 0.3469], qb:[0.7687, 0.5375], phi:[0.4625]] | t^2.203 + 2*t^2.531 + t^2.653 + t^2.775 + t^3.103 + t^3.347 + 2*t^3.919 + t^4.041 + t^4.369 + t^4.406 + t^4.491 + t^4.612 + 2*t^4.734 + t^4.856 + t^4.978 + 3*t^5.062 + 2*t^5.184 + 4*t^5.306 + t^5.55 + 2*t^5.634 + t^5.756 + 2*t^5.878 - 2*t^6. - t^4.388/y - t^4.388*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2611 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ | 0.6961 | 0.8694 | 0.8006 | [X:[1.3228], M:[1.1287, 0.6772, 0.8059, 1.0, 1.0, 0.8059, 0.8713, 0.8713], q:[0.5327, 0.3386], qb:[0.6614, 0.6614], phi:[0.4515]] | 2*t^2.418 + 2*t^2.614 + t^2.709 + 2*t^3. + 2*t^3.968 + 2*t^4.354 + t^4.551 + 3*t^4.835 + 2*t^4.937 + 2*t^5.032 + 2*t^5.127 + 3*t^5.228 + 5*t^5.323 + 4*t^5.418 + 2*t^5.614 + 2*t^5.709 - 3*t^6. - t^4.354/y - t^4.354*y | detail |