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 |
|---|---|---|---|---|---|---|---|---|---|
| 2380 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5702 | 0.713 | 0.7996 | [M:[0.7158, 1.1426, 0.999, 0.7139, 1.001, 1.2861, 0.999], q:[0.9282, 0.356], qb:[0.3579, 0.6431], phi:[0.4287]] | [M:[[22], [-4], [-14], [-6], [14], [6], [-14]], q:[[-5], [-17]], qb:[[11], [3]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$ | ${}$ | -2 | t^2.142 + t^2.147 + 2*t^2.997 + t^3.422 + 2*t^3.428 + t^3.434 + t^3.858 + t^4.283 + t^4.289 + t^4.295 + t^4.714 + 2*t^5.139 + 2*t^5.145 + t^5.563 + 2*t^5.569 + 2*t^5.575 + t^5.581 + 2*t^5.994 - 2*t^6. + 2*t^6.419 + 3*t^6.425 + t^6.431 + t^6.437 + t^6.442 + t^6.844 + t^6.85 + 3*t^6.855 + t^6.861 + t^6.867 + t^7.28 + t^7.286 + 2*t^7.292 + t^7.705 + 2*t^7.711 + t^7.717 + 2*t^7.723 + t^7.729 + 2*t^8.136 - 3*t^8.147 + 2*t^8.561 + 2*t^8.566 + 2*t^8.572 + t^8.578 + t^8.584 + t^8.59 + t^8.985 + 3*t^8.991 - 3*t^8.997 - t^4.286/y - t^6.434/y - t^7.283/y + (2*t^7.289)/y + (3*t^8.139)/y + (2*t^8.145)/y + t^8.563/y + (3*t^8.569)/y + (3*t^8.575)/y + t^8.994/y - t^4.286*y - t^6.434*y - t^7.283*y + 2*t^7.289*y + 3*t^8.139*y + 2*t^8.145*y + t^8.563*y + 3*t^8.569*y + 3*t^8.575*y + t^8.994*y | t^2.142/g1^6 + g1^22*t^2.147 + (2*t^2.997)/g1^14 + t^3.422/g1^32 + (2*t^3.428)/g1^4 + g1^24*t^3.434 + g1^6*t^3.858 + t^4.283/g1^12 + g1^16*t^4.289 + g1^44*t^4.295 + t^4.714/g1^2 + (2*t^5.139)/g1^20 + 2*g1^8*t^5.145 + t^5.563/g1^38 + (2*t^5.569)/g1^10 + 2*g1^18*t^5.575 + g1^46*t^5.581 + (2*t^5.994)/g1^28 - 2*t^6. + (2*t^6.419)/g1^46 + (3*t^6.425)/g1^18 + g1^10*t^6.431 + g1^38*t^6.437 + g1^66*t^6.442 + t^6.844/g1^64 + t^6.85/g1^36 + (3*t^6.855)/g1^8 + g1^20*t^6.861 + g1^48*t^6.867 + t^7.28/g1^26 + g1^2*t^7.286 + 2*g1^30*t^7.292 + t^7.705/g1^44 + (2*t^7.711)/g1^16 + g1^12*t^7.717 + 2*g1^40*t^7.723 + g1^68*t^7.729 + (2*t^8.136)/g1^34 - 3*g1^22*t^8.147 + (2*t^8.561)/g1^52 + (2*t^8.566)/g1^24 + 2*g1^4*t^8.572 + g1^32*t^8.578 + g1^60*t^8.584 + g1^88*t^8.59 + t^8.985/g1^70 + (3*t^8.991)/g1^42 - (3*t^8.997)/g1^14 - (g1^2*t^4.286)/y - (g1^24*t^6.434)/y - t^7.283/(g1^12*y) + (2*g1^16*t^7.289)/y + (3*t^8.139)/(g1^20*y) + (2*g1^8*t^8.145)/y + t^8.563/(g1^38*y) + (3*t^8.569)/(g1^10*y) + (3*g1^18*t^8.575)/y + t^8.994/(g1^28*y) - g1^2*t^4.286*y - g1^24*t^6.434*y - (t^7.283*y)/g1^12 + 2*g1^16*t^7.289*y + (3*t^8.139*y)/g1^20 + 2*g1^8*t^8.145*y + (t^8.563*y)/g1^38 + (3*t^8.569*y)/g1^10 + 3*g1^18*t^8.575*y + (t^8.994*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4391 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5649 | 0.7089 | 0.7968 | [M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.9565], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | t^2.087 + t^2.348 + 2*t^2.87 + t^3.13 + 2*t^3.391 + t^3.652 + t^3.913 + t^4.174 + t^4.435 + 2*t^4.696 + 2*t^4.957 + 3*t^5.217 + 2*t^5.478 + 4*t^5.739 + t^6. - t^4.304/y - t^4.304*y | detail | {a: 109965/194672, c: 69001/97336, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 22/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
| 4394 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{8}$ | 0.5904 | 0.7513 | 0.7859 | [M:[0.7186, 1.1421, 0.9972, 0.7131, 1.0028, 1.2869, 0.9972, 0.7131], q:[0.9276, 0.3538], qb:[0.3593, 0.6434], phi:[0.429]] | 2*t^2.139 + t^2.156 + 2*t^2.992 + t^3.41 + 2*t^3.426 + t^3.443 + 3*t^4.279 + 2*t^4.295 + t^4.312 + t^4.713 + 4*t^5.131 + 2*t^5.148 + 2*t^5.549 + 4*t^5.566 + 3*t^5.582 + t^5.599 + 2*t^5.983 - 3*t^6. - t^4.287/y - t^4.287*y | detail | |
| 4392 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.5847 | 0.7392 | 0.791 | [M:[0.6781, 1.1494, 1.023, 0.7242, 0.977, 1.2758, 1.023, 0.8045], q:[0.9368, 0.3851], qb:[0.3391, 0.6379], phi:[0.4253]] | t^2.034 + t^2.172 + t^2.414 + 2*t^3.069 + t^3.31 + 2*t^3.448 + t^3.828 + t^4.069 + t^4.207 + t^4.345 + t^4.448 + t^4.586 + t^4.724 + t^4.827 + 2*t^5.103 + 2*t^5.242 + t^5.345 + 4*t^5.483 + t^5.621 + t^5.724 + 2*t^5.862 - 2*t^6. - t^4.276/y - t^4.276*y | detail | |
| 4393 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5841 | 0.7387 | 0.7908 | [M:[0.7467, 1.137, 0.9794, 0.7055, 1.0206, 1.2945, 0.9794, 0.8218], q:[0.9212, 0.3321], qb:[0.3733, 0.6473], phi:[0.4315]] | t^2.116 + t^2.24 + t^2.465 + 2*t^2.938 + t^3.287 + 2*t^3.411 + t^3.884 + t^4.233 + t^4.356 + t^4.48 + t^4.582 + 2*t^4.705 + t^4.931 + 2*t^5.055 + 2*t^5.178 + 3*t^5.404 + 2*t^5.527 + t^5.651 + t^5.753 + 4*t^5.876 - 2*t^6. - t^4.295/y - t^4.295*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1328 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ | 0.6961 | 0.8501 | 0.8189 | [M:[0.9281, 1.0245, 1.0229, 0.9739, 0.9771, 1.0261, 1.0229], q:[0.5621, 0.5098], qb:[0.4641, 0.5131], phi:[0.4878]] | t^2.784 + t^2.922 + 2*t^3.069 + t^3.073 + t^3.078 + t^3.225 + t^4.248 + t^4.385 + t^4.395 + t^4.522 + t^4.532 + 2*t^4.542 + t^4.679 + t^4.689 + t^4.836 + t^5.569 + t^5.858 + t^5.99 + t^5.995 - 3*t^6. - t^4.463/y - t^4.463*y | detail |