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 |
|---|---|---|---|---|---|---|---|---|---|
| 55914 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6631 | 0.8382 | 0.7912 | [M:[1.2027, 0.8007, 0.7973, 0.8073, 0.7907, 0.8107], q:[0.4037, 0.3937], qb:[0.7957, 0.799], phi:[0.402]] | [M:[[-8], [-2], [8], [-22], [28], [-32]], q:[[-11], [19]], qb:[[13], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.372 + t^2.392 + t^2.402 + t^2.412 + t^2.422 + t^2.432 + t^3.568 + t^3.598 + t^3.608 + t^4.744 + t^4.764 + 2*t^4.774 + 3*t^4.784 + t^4.794 + 4*t^4.804 + 2*t^4.814 + 2*t^4.824 + 2*t^4.834 + 2*t^4.844 + t^4.854 + t^4.864 + t^5.94 + t^5.96 + t^5.97 + 3*t^5.98 + t^5.99 - t^6. + t^6.01 + t^6.02 + t^6.04 + t^7.116 + 2*t^7.136 + 2*t^7.146 + 2*t^7.156 + 2*t^7.166 + 4*t^7.176 + 2*t^7.186 + 4*t^7.196 + 4*t^7.206 + 5*t^7.216 + 5*t^7.226 + 5*t^7.236 + 3*t^7.246 + 3*t^7.256 + 3*t^7.266 + 2*t^7.276 + t^7.286 + t^7.296 + t^8.312 + t^8.332 + 2*t^8.342 + 4*t^8.352 - t^8.362 + 2*t^8.382 - t^8.402 - 2*t^8.422 - 2*t^8.432 + t^8.472 - t^4.206/y - t^6.578/y - t^6.608/y - t^6.618/y - t^6.628/y - t^6.638/y + t^7.764/y + (2*t^7.774)/y + (2*t^7.784)/y + (3*t^7.794)/y + (3*t^7.804)/y + (2*t^7.814)/y + (2*t^7.824)/y + (3*t^7.834)/y + t^7.844/y + t^7.854/y + t^8.94/y - t^8.95/y + t^8.96/y + (2*t^8.97)/y + t^8.98/y + t^8.99/y - t^4.206*y - t^6.578*y - t^6.608*y - t^6.618*y - t^6.628*y - t^6.638*y + t^7.764*y + 2*t^7.774*y + 2*t^7.784*y + 3*t^7.794*y + 3*t^7.804*y + 2*t^7.814*y + 2*t^7.824*y + 3*t^7.834*y + t^7.844*y + t^7.854*y + t^8.94*y - t^8.95*y + t^8.96*y + 2*t^8.97*y + t^8.98*y + t^8.99*y | g1^28*t^2.372 + g1^8*t^2.392 + t^2.402/g1^2 + t^2.412/g1^12 + t^2.422/g1^22 + t^2.432/g1^32 + g1^32*t^3.568 + g1^2*t^3.598 + t^3.608/g1^8 + g1^56*t^4.744 + g1^36*t^4.764 + 2*g1^26*t^4.774 + 3*g1^16*t^4.784 + g1^6*t^4.794 + (4*t^4.804)/g1^4 + (2*t^4.814)/g1^14 + (2*t^4.824)/g1^24 + (2*t^4.834)/g1^34 + (2*t^4.844)/g1^44 + t^4.854/g1^54 + t^4.864/g1^64 + g1^60*t^5.94 + g1^40*t^5.96 + g1^30*t^5.97 + 3*g1^20*t^5.98 + g1^10*t^5.99 - t^6. + t^6.01/g1^10 + t^6.02/g1^20 + t^6.04/g1^40 + g1^84*t^7.116 + 2*g1^64*t^7.136 + 2*g1^54*t^7.146 + 2*g1^44*t^7.156 + 2*g1^34*t^7.166 + 4*g1^24*t^7.176 + 2*g1^14*t^7.186 + 4*g1^4*t^7.196 + (4*t^7.206)/g1^6 + (5*t^7.216)/g1^16 + (5*t^7.226)/g1^26 + (5*t^7.236)/g1^36 + (3*t^7.246)/g1^46 + (3*t^7.256)/g1^56 + (3*t^7.266)/g1^66 + (2*t^7.276)/g1^76 + t^7.286/g1^86 + t^7.296/g1^96 + g1^88*t^8.312 + g1^68*t^8.332 + 2*g1^58*t^8.342 + 4*g1^48*t^8.352 - g1^38*t^8.362 + 2*g1^18*t^8.382 - t^8.402/g1^2 - (2*t^8.422)/g1^22 - (2*t^8.432)/g1^32 + t^8.472/g1^72 - t^4.206/(g1^6*y) - (g1^22*t^6.578)/y - t^6.608/(g1^8*y) - t^6.618/(g1^18*y) - t^6.628/(g1^28*y) - t^6.638/(g1^38*y) + (g1^36*t^7.764)/y + (2*g1^26*t^7.774)/y + (2*g1^16*t^7.784)/y + (3*g1^6*t^7.794)/y + (3*t^7.804)/(g1^4*y) + (2*t^7.814)/(g1^14*y) + (2*t^7.824)/(g1^24*y) + (3*t^7.834)/(g1^34*y) + t^7.844/(g1^44*y) + t^7.854/(g1^54*y) + (g1^60*t^8.94)/y - (g1^50*t^8.95)/y + (g1^40*t^8.96)/y + (2*g1^30*t^8.97)/y + (g1^20*t^8.98)/y + (g1^10*t^8.99)/y - (t^4.206*y)/g1^6 - g1^22*t^6.578*y - (t^6.608*y)/g1^8 - (t^6.618*y)/g1^18 - (t^6.628*y)/g1^28 - (t^6.638*y)/g1^38 + g1^36*t^7.764*y + 2*g1^26*t^7.774*y + 2*g1^16*t^7.784*y + 3*g1^6*t^7.794*y + (3*t^7.804*y)/g1^4 + (2*t^7.814*y)/g1^14 + (2*t^7.824*y)/g1^24 + (3*t^7.834*y)/g1^34 + (t^7.844*y)/g1^44 + (t^7.854*y)/g1^54 + g1^60*t^8.94*y - g1^50*t^8.95*y + g1^40*t^8.96*y + 2*g1^30*t^8.97*y + g1^20*t^8.98*y + g1^10*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 57570 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ | 0.6798 | 0.8677 | 0.7835 | [M:[1.2046, 0.8011, 0.7954, 0.8125, 0.784, 0.8182, 0.7954], q:[0.4063, 0.3892], qb:[0.7926, 0.7983], phi:[0.4034]] | t^2.352 + 2*t^2.386 + t^2.403 + t^2.421 + t^2.438 + t^2.455 + t^3.545 + t^3.597 + t^4.704 + 2*t^4.738 + 2*t^4.756 + 5*t^4.773 + 2*t^4.79 + 5*t^4.807 + 3*t^4.824 + 3*t^4.841 + 2*t^4.858 + 2*t^4.875 + t^4.892 + t^4.909 + t^5.897 + 2*t^5.932 + t^5.949 + 2*t^5.966 + 2*t^5.983 - 2*t^6. - t^4.21/y - t^4.21*y | detail | |
| 57670 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6467 | 0.8093 | 0.7991 | [M:[1.2032, 0.8008, 0.7968, 0.8087, 0.789, 0.8126, 1.1992], q:[0.4043, 0.3925], qb:[0.7949, 0.7988], phi:[0.4024]] | t^2.367 + t^2.391 + t^2.414 + t^2.426 + t^2.438 + t^3.562 + 2*t^3.598 + t^3.609 + t^4.734 + t^4.757 + t^4.769 + 3*t^4.781 + 3*t^4.805 + t^4.817 + t^4.828 + t^4.84 + 2*t^4.852 + t^4.864 + t^4.876 + t^5.929 + t^5.953 + t^5.964 + 3*t^5.976 + 2*t^5.988 - 2*t^6. - t^4.207/y - t^4.207*y | detail | |
| 57668 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.6468 | 0.8103 | 0.7983 | [M:[1.1953, 0.7988, 0.8047, 0.787, 0.8165, 0.7811, 1.1835], q:[0.3935, 0.4112], qb:[0.8077, 0.8018], phi:[0.3965]] | t^2.343 + t^2.361 + t^2.379 + t^2.396 + t^2.414 + t^3.55 + t^3.586 + t^3.604 + t^3.657 + t^4.687 + t^4.704 + 2*t^4.722 + 2*t^4.74 + 2*t^4.758 + 2*t^4.775 + 3*t^4.793 + 2*t^4.828 + t^4.846 + t^5.894 + t^5.912 + 2*t^5.929 + t^5.947 + 2*t^5.965 + t^5.982 - t^6. - t^4.189/y - t^4.189*y | detail | |
| 57567 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{6}X_{1}$ + ${ }M_{4}X_{2}$ | 0.5684 | 0.6934 | 0.8197 | [X:[1.4286, 1.3571], M:[1.1429, 0.7857, 0.8571, 0.6429, 1.0, 0.5714], q:[0.3214, 0.5357], qb:[0.8929, 0.8214], phi:[0.3571]] | t^2.143 + t^2.357 + t^2.571 + t^3. + t^3.429 + t^3.643 + t^4.071 + 2*t^4.286 + t^4.5 + 3*t^4.714 + 3*t^5.143 + t^5.571 + t^5.786 - t^6. - t^4.071/y - t^4.071*y | detail | {a: 12477/21952, c: 15221/21952, X1: 10/7, X2: 19/14, M1: 8/7, M2: 11/14, M3: 6/7, M4: 9/14, M5: 1, M6: 4/7, q1: 9/28, q2: 15/28, qb1: 25/28, qb2: 23/28, phi1: 5/14} |
| 57671 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}M_{7}$ | 0.6485 | 0.8143 | 0.7964 | [M:[1.2124, 0.8031, 0.7876, 0.834, 0.7567, 0.8495, 1.1505], q:[0.417, 0.3706], qb:[0.7799, 0.7954], phi:[0.4093]] | t^2.27 + t^2.363 + t^2.409 + t^2.456 + t^2.502 + 2*t^3.452 + t^3.591 + t^3.637 + t^4.54 + t^4.633 + 2*t^4.679 + 3*t^4.726 + t^4.772 + 3*t^4.819 + 2*t^4.865 + t^4.911 + t^4.958 + t^5.004 + 2*t^5.722 + 2*t^5.814 + 2*t^5.861 + 4*t^5.907 + 2*t^5.954 - 2*t^6. - t^4.228/y - t^4.228*y | detail | |
| 57569 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6796 | 0.8671 | 0.7838 | [M:[1.2022, 0.8005, 0.7978, 0.806, 0.7924, 0.8087, 0.8005], q:[0.403, 0.3948], qb:[0.7965, 0.7992], phi:[0.4016]] | t^2.377 + t^2.393 + 2*t^2.402 + t^2.41 + t^2.418 + t^2.426 + t^3.574 + t^3.607 + t^4.754 + t^4.771 + 3*t^4.779 + 3*t^4.787 + 2*t^4.795 + 6*t^4.803 + 3*t^4.811 + 3*t^4.82 + 3*t^4.828 + 2*t^4.836 + t^4.844 + t^4.852 + t^5.951 + t^5.967 + t^5.975 + 3*t^5.984 - 2*t^6. - t^4.205/y - t^4.205*y | detail | |
| 57568 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6798 | 0.8683 | 0.7829 | [M:[1.1957, 0.7989, 0.8043, 0.7882, 0.8151, 0.7828, 0.7828], q:[0.3941, 0.4102], qb:[0.807, 0.8016], phi:[0.3968]] | 2*t^2.348 + t^2.365 + t^2.381 + t^2.397 + t^2.413 + t^2.445 + t^3.587 + t^3.603 + 3*t^4.697 + 2*t^4.713 + 3*t^4.729 + 3*t^4.745 + 3*t^4.761 + 2*t^4.777 + 5*t^4.794 + t^4.81 + 3*t^4.826 + 2*t^4.842 + t^4.858 + t^4.89 + 2*t^5.935 + t^5.952 + t^5.968 + t^5.984 - 2*t^6. - t^4.19/y - t^4.19*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48167 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7001 | 0.8886 | 0.7878 | [M:[1.1679, 1.0164, 0.8321, 0.7865, 0.7628, 0.6715], q:[0.3932, 0.4389], qb:[0.5903, 0.7746], phi:[0.4507]] | t^2.015 + t^2.288 + t^2.359 + t^2.496 + t^2.704 + t^3.049 + t^3.088 + t^3.504 + t^3.849 + t^4.029 + t^4.095 + 2*t^4.303 + t^4.374 + t^4.44 + t^4.511 + t^4.577 + t^4.648 + 2*t^4.719 + t^4.785 + t^4.856 + t^4.894 + 2*t^4.993 + 2*t^5.064 + t^5.102 + t^5.201 + t^5.338 + t^5.376 + t^5.409 + t^5.447 + t^5.518 + t^5.584 + t^5.754 + 2*t^5.792 + t^5.863 - 2*t^6. - t^4.352/y - t^4.352*y | detail |