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 |
|---|---|---|---|---|---|---|---|---|---|
| 3411 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6744 | 0.8525 | 0.7911 | [M:[0.818, 1.0607, 1.182, 0.6966, 0.6966, 1.0449], q:[0.4169, 0.7652], qb:[0.4011, 0.5382], phi:[0.4697]] | [M:[[-12], [4], [12], [-20], [-20], [-30]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | 2*t^2.09 + t^2.454 + t^2.818 + t^3.135 + t^3.182 + t^3.499 + t^3.546 + t^3.815 + t^3.863 + 3*t^4.18 + t^4.227 + t^4.274 + 2*t^4.544 + t^4.638 + 3*t^4.908 + 2*t^5.224 + 3*t^5.272 + 2*t^5.589 + 3*t^5.636 + 2*t^5.905 + 3*t^5.953 - t^6. - t^6.047 + 6*t^6.269 + 4*t^6.317 + t^6.364 - t^6.411 + 5*t^6.633 + 2*t^6.681 + 2*t^6.728 + t^6.95 + 6*t^6.998 + 4*t^7.314 + 7*t^7.362 - t^7.409 + t^7.631 + 4*t^7.678 + 6*t^7.726 - t^7.82 + 3*t^7.995 + 6*t^8.042 - t^8.09 - 3*t^8.137 + 9*t^8.359 + 7*t^8.406 + t^8.454 - 3*t^8.501 + 9*t^8.723 + 5*t^8.771 - t^8.818 - t^8.865 + t^8.913 - t^4.409/y - (2*t^6.499)/y + t^7.18/y + t^7.274/y + t^7.544/y + (2*t^7.908)/y + (2*t^8.224)/y + (3*t^8.272)/y + (2*t^8.319)/y + (3*t^8.636)/y + (2*t^8.905)/y + (4*t^8.953)/y - t^4.409*y - 2*t^6.499*y + t^7.18*y + t^7.274*y + t^7.544*y + 2*t^7.908*y + 2*t^8.224*y + 3*t^8.272*y + 2*t^8.319*y + 3*t^8.636*y + 2*t^8.905*y + 4*t^8.953*y | (2*t^2.09)/g1^20 + t^2.454/g1^12 + t^2.818/g1^4 + t^3.135/g1^30 + g1^4*t^3.182 + t^3.499/g1^22 + g1^12*t^3.546 + t^3.815/g1^48 + t^3.863/g1^14 + (3*t^4.18)/g1^40 + t^4.227/g1^6 + g1^28*t^4.274 + (2*t^4.544)/g1^32 + g1^36*t^4.638 + (3*t^4.908)/g1^24 + (2*t^5.224)/g1^50 + (3*t^5.272)/g1^16 + (2*t^5.589)/g1^42 + (3*t^5.636)/g1^8 + (2*t^5.905)/g1^68 + (3*t^5.953)/g1^34 - t^6. - g1^34*t^6.047 + (6*t^6.269)/g1^60 + (4*t^6.317)/g1^26 + g1^8*t^6.364 - g1^42*t^6.411 + (5*t^6.633)/g1^52 + (2*t^6.681)/g1^18 + 2*g1^16*t^6.728 + t^6.95/g1^78 + (6*t^6.998)/g1^44 + (4*t^7.314)/g1^70 + (7*t^7.362)/g1^36 - t^7.409/g1^2 + t^7.631/g1^96 + (4*t^7.678)/g1^62 + (6*t^7.726)/g1^28 - g1^40*t^7.82 + (3*t^7.995)/g1^88 + (6*t^8.042)/g1^54 - t^8.09/g1^20 - 3*g1^14*t^8.137 + (9*t^8.359)/g1^80 + (7*t^8.406)/g1^46 + t^8.454/g1^12 - 3*g1^22*t^8.501 + (9*t^8.723)/g1^72 + (5*t^8.771)/g1^38 - t^8.818/g1^4 - g1^30*t^8.865 + g1^64*t^8.913 - t^4.409/(g1^2*y) - (2*t^6.499)/(g1^22*y) + t^7.18/(g1^40*y) + (g1^28*t^7.274)/y + t^7.544/(g1^32*y) + (2*t^7.908)/(g1^24*y) + (2*t^8.224)/(g1^50*y) + (3*t^8.272)/(g1^16*y) + (2*g1^18*t^8.319)/y + (3*t^8.636)/(g1^8*y) + (2*t^8.905)/(g1^68*y) + (4*t^8.953)/(g1^34*y) - (t^4.409*y)/g1^2 - (2*t^6.499*y)/g1^22 + (t^7.18*y)/g1^40 + g1^28*t^7.274*y + (t^7.544*y)/g1^32 + (2*t^7.908*y)/g1^24 + (2*t^8.224*y)/g1^50 + (3*t^8.272*y)/g1^16 + 2*g1^18*t^8.319*y + (3*t^8.636*y)/g1^8 + (2*t^8.905*y)/g1^68 + (4*t^8.953*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3897 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.68 | 0.8625 | 0.7884 | [M:[0.816, 1.0613, 1.184, 0.6933, 0.6933, 1.04, 0.9387], q:[0.4187, 0.7653], qb:[0.3973, 0.5413], phi:[0.4693]] | 2*t^2.08 + t^2.448 + 2*t^2.816 + t^3.12 + t^3.488 + t^3.552 + t^3.792 + t^3.856 + 3*t^4.16 + t^4.224 + t^4.288 + 2*t^4.528 + t^4.656 + 5*t^4.896 + 2*t^5.2 + 2*t^5.264 + 2*t^5.568 + 4*t^5.632 + 2*t^5.872 + 4*t^5.936 - 2*t^6. - t^4.408/y - t^4.408*y | detail | |
| 3900 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6947 | 0.8904 | 0.7802 | [M:[0.8197, 1.0601, 1.1803, 0.6995, 0.6995, 1.0492, 0.7104], q:[0.4153, 0.765], qb:[0.4044, 0.5355], phi:[0.4699]] | 2*t^2.098 + t^2.131 + t^2.459 + t^2.82 + t^3.148 + t^3.18 + t^3.508 + t^3.541 + t^3.836 + 3*t^4.197 + 3*t^4.23 + 2*t^4.262 + 2*t^4.558 + t^4.59 + t^4.623 + 3*t^4.918 + t^4.951 + 2*t^5.246 + 4*t^5.279 + t^5.311 + 2*t^5.607 + 4*t^5.639 + t^5.672 + 2*t^5.935 + 2*t^5.967 - t^6. - t^4.41/y - t^4.41*y | detail | |
| 3899 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6945 | 0.8894 | 0.7809 | [M:[0.8234, 1.0589, 1.1766, 0.7057, 0.7057, 1.0586, 0.7063], q:[0.4119, 0.7647], qb:[0.4116, 0.5296], phi:[0.4706]] | 2*t^2.117 + t^2.119 + t^2.47 + t^2.823 + t^3.176 + t^3.177 + t^3.529 + t^3.53 + t^3.882 + 3*t^4.234 + t^4.235 + 3*t^4.236 + t^4.238 + 2*t^4.587 + 2*t^4.589 + 3*t^4.941 + t^4.942 + 2*t^5.293 + 3*t^5.294 + 2*t^5.295 + 2*t^5.646 + 3*t^5.647 + 2*t^5.648 + 3*t^5.999 - t^6. - t^4.412/y - t^4.412*y | detail | |
| 3898 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6892 | 0.8763 | 0.7865 | [M:[0.8259, 1.058, 1.1741, 0.7099, 0.7099, 1.0648, 0.8191], q:[0.4096, 0.7645], qb:[0.4163, 0.5256], phi:[0.471]] | 2*t^2.13 + t^2.457 + t^2.478 + t^2.826 + t^3.174 + t^3.194 + t^3.522 + t^3.891 + t^3.911 + t^4.219 + t^4.239 + 3*t^4.259 + t^4.567 + 2*t^4.587 + 2*t^4.607 + t^4.915 + t^4.935 + 3*t^4.956 + t^5.283 + 3*t^5.304 + 2*t^5.324 + t^5.632 + 4*t^5.652 - t^6. - t^4.413/y - t^4.413*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2850 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6802 | 0.8591 | 0.7917 | [M:[0.8326, 1.0558, 1.1674, 0.721, 0.721], q:[0.4035, 0.764], qb:[0.4291, 0.5151], phi:[0.4721]] | 2*t^2.163 + t^2.498 + t^2.756 + t^2.833 + t^3.167 + t^3.502 + t^3.579 + t^3.914 + t^3.991 + t^4.172 + t^4.249 + 3*t^4.326 + t^4.507 + 2*t^4.661 + 2*t^4.919 + 3*t^4.996 + t^5.253 + 3*t^5.33 + t^5.511 + t^5.588 + 3*t^5.665 + t^5.742 - t^6. - t^4.416/y - t^4.416*y | detail |