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 |
|---|---|---|---|---|---|---|---|---|---|
| 3816 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6056 | 0.7571 | 0.7998 | [X:[1.3448], M:[0.6552, 1.1149, 0.8084, 1.0383, 0.9617, 1.1916, 0.6724], q:[0.7787, 0.5661], qb:[0.6255, 0.2596], phi:[0.4425]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [20], [18]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -1 | t^2.017 + t^2.477 + t^2.655 + t^2.885 + t^3.115 + t^3.345 + t^3.575 + t^3.805 + 2*t^4.034 + t^4.213 + t^4.494 + t^4.672 + t^4.724 + t^4.902 + t^4.954 + 2*t^5.132 + t^5.31 + 2*t^5.362 + t^5.54 + 2*t^5.592 + t^5.77 + t^5.822 - t^6. + 3*t^6.052 - t^6.178 + 2*t^6.23 + t^6.282 - t^6.408 + t^6.46 + 2*t^6.511 - t^6.638 + 4*t^6.69 + t^6.741 + 2*t^6.92 + t^6.971 - t^7.098 + 3*t^7.149 + t^7.201 - t^7.328 + 4*t^7.379 + t^7.431 - t^7.506 + 5*t^7.609 + t^7.787 + 3*t^7.839 - t^8.017 + 5*t^8.069 - t^8.195 + 3*t^8.247 + 2*t^8.299 - t^8.477 + 4*t^8.529 + t^8.604 - 3*t^8.655 + 3*t^8.707 + 3*t^8.759 - t^8.833 - 3*t^8.885 + 3*t^8.937 + 2*t^8.988 - t^4.328/y - t^6.345/y + t^7.494/y + t^7.672/y + t^7.902/y + (2*t^8.132)/y + t^8.31/y + t^8.362/y + t^8.54/y + (2*t^8.592)/y + t^8.77/y + (2*t^8.822)/y - t^4.328*y - t^6.345*y + t^7.494*y + t^7.672*y + t^7.902*y + 2*t^8.132*y + t^8.31*y + t^8.362*y + t^8.54*y + 2*t^8.592*y + t^8.77*y + 2*t^8.822*y | g1^18*t^2.017 + g1^34*t^2.477 + t^2.655/g1^12 + t^2.885/g1^4 + g1^4*t^3.115 + g1^12*t^3.345 + g1^20*t^3.575 + g1^28*t^3.805 + 2*g1^36*t^4.034 + t^4.213/g1^10 + g1^52*t^4.494 + g1^6*t^4.672 + g1^60*t^4.724 + g1^14*t^4.902 + g1^68*t^4.954 + 2*g1^22*t^5.132 + t^5.31/g1^24 + 2*g1^30*t^5.362 + t^5.54/g1^16 + 2*g1^38*t^5.592 + t^5.77/g1^8 + g1^46*t^5.822 - t^6. + 3*g1^54*t^6.052 - t^6.178/g1^46 + 2*g1^8*t^6.23 + g1^62*t^6.282 - t^6.408/g1^38 + g1^16*t^6.46 + 2*g1^70*t^6.511 - t^6.638/g1^30 + 4*g1^24*t^6.69 + g1^78*t^6.741 + 2*g1^32*t^6.92 + g1^86*t^6.971 - t^7.098/g1^14 + 3*g1^40*t^7.149 + g1^94*t^7.201 - t^7.328/g1^6 + 4*g1^48*t^7.379 + g1^102*t^7.431 - t^7.506/g1^52 + 5*g1^56*t^7.609 + g1^10*t^7.787 + 3*g1^64*t^7.839 - g1^18*t^8.017 + 5*g1^72*t^8.069 - t^8.195/g1^28 + 3*g1^26*t^8.247 + 2*g1^80*t^8.299 - g1^34*t^8.477 + 4*g1^88*t^8.529 + t^8.604/g1^66 - (3*t^8.655)/g1^12 + 3*g1^42*t^8.707 + 3*g1^96*t^8.759 - t^8.833/g1^58 - (3*t^8.885)/g1^4 + 3*g1^50*t^8.937 + 2*g1^104*t^8.988 - t^4.328/(g1^6*y) - (g1^12*t^6.345)/y + (g1^52*t^7.494)/y + (g1^6*t^7.672)/y + (g1^14*t^7.902)/y + (2*g1^22*t^8.132)/y + t^8.31/(g1^24*y) + (g1^30*t^8.362)/y + t^8.54/(g1^16*y) + (2*g1^38*t^8.592)/y + t^8.77/(g1^8*y) + (2*g1^46*t^8.822)/y - (t^4.328*y)/g1^6 - g1^12*t^6.345*y + g1^52*t^7.494*y + g1^6*t^7.672*y + g1^14*t^7.902*y + 2*g1^22*t^8.132*y + (t^8.31*y)/g1^24 + g1^30*t^8.362*y + (t^8.54*y)/g1^16 + 2*g1^38*t^8.592*y + (t^8.77*y)/g1^8 + 2*g1^46*t^8.822*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 |
|---|---|---|---|---|---|---|---|---|
| 5413 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{8}$ | 0.6092 | 0.7625 | 0.7989 | [X:[1.3513], M:[0.6487, 1.1171, 0.8048, 1.039, 0.961, 1.1952, 0.6756, 0.961], q:[0.7793, 0.572], qb:[0.6231, 0.2598], phi:[0.4415]] | t^2.027 + t^2.495 + t^2.649 + 2*t^2.883 + t^3.351 + t^3.585 + t^3.82 + 2*t^4.054 + t^4.207 + t^4.522 + t^4.676 + t^4.756 + 2*t^4.91 + t^4.991 + t^5.144 + t^5.297 + 3*t^5.378 + 2*t^5.532 + t^5.612 + 2*t^5.766 + t^5.847 - 2*t^6. - t^4.324/y - t^4.324*y | detail | |
| 5412 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{8}$ | 0.602 | 0.7519 | 0.8006 | [X:[1.3384], M:[0.6616, 1.1128, 0.812, 1.0376, 0.9624, 1.188, 0.6692, 1.0376], q:[0.7782, 0.5602], qb:[0.6278, 0.2594], phi:[0.4436]] | t^2.008 + t^2.459 + t^2.662 + 2*t^3.113 + t^3.338 + t^3.564 + t^3.79 + 2*t^4.015 + t^4.218 + t^4.466 + t^4.669 + t^4.692 + t^4.918 + 3*t^5.12 + t^5.323 + t^5.346 + 3*t^5.572 + t^5.774 + t^5.797 - 2*t^6. - t^4.331/y - t^4.331*y | detail | |
| 5409 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6039 | 0.7506 | 0.8045 | [X:[1.3913], M:[0.6087, 1.1304, 0.7826, 1.0435, 0.9565, 1.2174, 0.6957], q:[0.7826, 0.6087], qb:[0.6087, 0.2609], phi:[0.4348]] | t^2.087 + 2*t^2.609 + t^2.87 + t^3.13 + t^3.391 + t^3.652 + t^3.913 + 3*t^4.174 + 2*t^4.696 + 2*t^4.957 + 4*t^5.217 + 3*t^5.478 + 3*t^5.739 - t^6. - t^4.304/y - t^4.304*y | detail | {a: 58779/97336, c: 36531/48668, X1: 32/23, M1: 14/23, M2: 26/23, M3: 18/23, M4: 24/23, M5: 22/23, M6: 28/23, M7: 16/23, q1: 18/23, q2: 14/23, qb1: 14/23, qb2: 6/23, phi1: 10/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3358 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ | 0.5847 | 0.7158 | 0.8169 | [X:[1.3459], M:[0.6541, 1.1153, 0.8078, 1.0384, 0.9616, 1.1922], q:[0.7788, 0.5671], qb:[0.6251, 0.2596], phi:[0.4423]] | t^2.48 + t^2.654 + t^2.885 + t^3.115 + t^3.346 + t^3.577 + t^3.807 + t^3.981 + t^4.038 + t^4.212 + t^4.73 + t^4.96 + t^5.134 + t^5.308 + t^5.365 + t^5.539 + t^5.595 + t^5.769 - t^6. - t^4.327/y - t^4.327*y | detail |