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 |
|---|---|---|---|---|---|---|---|---|---|
| 2021 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5708 | 0.7142 | 0.7992 | [M:[0.6907, 1.1471, 1.015, 0.7207, 0.985, 1.2793], q:[0.9339, 0.3754], qb:[0.3454, 0.6396], phi:[0.4264]] | [M:[[22], [-4], [-14], [-6], [14], [6]], q:[[-5], [-17]], qb:[[11], [3]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$ | ${}$ | -1 | t^2.072 + t^2.162 + t^2.955 + t^3.045 + t^3.351 + 2*t^3.441 + t^3.531 + t^3.838 + t^4.144 + t^4.234 + t^4.324 + t^4.721 + t^5.027 + 2*t^5.117 + t^5.207 + t^5.424 + 2*t^5.514 + 2*t^5.604 + t^5.694 + t^5.91 - t^6. + t^6.217 + 2*t^6.306 + 2*t^6.396 + 2*t^6.486 + t^6.576 + t^6.703 + 2*t^6.793 + 2*t^6.883 + t^6.973 + t^7.063 + t^7.099 + 2*t^7.189 + t^7.279 + t^7.496 + 2*t^7.586 + 2*t^7.676 + t^7.766 + t^7.856 + t^7.982 - t^8.072 - t^8.162 + t^8.289 + 2*t^8.379 + 2*t^8.469 + 2*t^8.559 + t^8.649 + t^8.739 + t^8.775 + 2*t^8.865 - t^8.955 - t^4.279/y - t^6.351/y + t^7.234/y + t^8.027/y + (2*t^8.117)/y + (2*t^8.207)/y + (3*t^8.514)/y + (3*t^8.604)/y + t^8.694/y + t^8.91/y - t^4.279*y - t^6.351*y + t^7.234*y + t^8.027*y + 2*t^8.117*y + 2*t^8.207*y + 3*t^8.514*y + 3*t^8.604*y + t^8.694*y + t^8.91*y | g1^22*t^2.072 + t^2.162/g1^6 + g1^14*t^2.955 + t^3.045/g1^14 + g1^24*t^3.351 + (2*t^3.441)/g1^4 + t^3.531/g1^32 + g1^6*t^3.838 + g1^44*t^4.144 + g1^16*t^4.234 + t^4.324/g1^12 + t^4.721/g1^2 + g1^36*t^5.027 + 2*g1^8*t^5.117 + t^5.207/g1^20 + g1^46*t^5.424 + 2*g1^18*t^5.514 + (2*t^5.604)/g1^10 + t^5.694/g1^38 + g1^28*t^5.91 - t^6. + g1^66*t^6.217 + 2*g1^38*t^6.306 + 2*g1^10*t^6.396 + (2*t^6.486)/g1^18 + t^6.576/g1^46 + g1^48*t^6.703 + 2*g1^20*t^6.793 + (2*t^6.883)/g1^8 + t^6.973/g1^36 + t^7.063/g1^64 + g1^58*t^7.099 + 2*g1^30*t^7.189 + g1^2*t^7.279 + g1^68*t^7.496 + 2*g1^40*t^7.586 + 2*g1^12*t^7.676 + t^7.766/g1^16 + t^7.856/g1^44 + g1^50*t^7.982 - g1^22*t^8.072 - t^8.162/g1^6 + g1^88*t^8.289 + 2*g1^60*t^8.379 + 2*g1^32*t^8.469 + 2*g1^4*t^8.559 + t^8.649/g1^24 + t^8.739/g1^52 + g1^70*t^8.775 + 2*g1^42*t^8.865 - g1^14*t^8.955 - (g1^2*t^4.279)/y - (g1^24*t^6.351)/y + (g1^16*t^7.234)/y + (g1^36*t^8.027)/y + (2*g1^8*t^8.117)/y + (2*t^8.207)/(g1^20*y) + (3*g1^18*t^8.514)/y + (3*t^8.604)/(g1^10*y) + t^8.694/(g1^38*y) + (g1^28*t^8.91)/y - g1^2*t^4.279*y - g1^24*t^6.351*y + g1^16*t^7.234*y + g1^36*t^8.027*y + 2*g1^8*t^8.117*y + (2*t^8.207*y)/g1^20 + 3*g1^18*t^8.514*y + (3*t^8.604*y)/g1^10 + (t^8.694*y)/g1^38 + g1^28*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 3077 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5608 | 0.7021 | 0.7987 | [M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | t^2.087 + t^2.348 + t^2.87 + 2*t^3.13 + 2*t^3.391 + t^3.652 + t^3.913 + t^4.174 + t^4.435 + 2*t^4.696 + t^4.957 + 3*t^5.217 + 3*t^5.478 + 2*t^5.739 + t^6. - t^4.304/y - t^4.304*y | detail | {a: 13647/24334, c: 34171/48668, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
| 3078 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}X_{1}$ | 0.5462 | 0.6679 | 0.8178 | [X:[1.3684], M:[0.6316, 1.1579, 1.0526, 0.7368, 0.9474, 1.2632], q:[0.9474, 0.4211], qb:[0.3158, 0.6316], phi:[0.4211]] | t^2.211 + t^2.842 + 2*t^3.158 + 2*t^3.474 + 2*t^3.789 + t^4.105 + t^4.421 + t^4.737 + t^5.053 + t^5.368 + t^5.684 + t^6. - t^4.263/y - t^4.263*y | detail | {a: 59937/109744, c: 36647/54872, X1: 26/19, M1: 12/19, M2: 22/19, M3: 20/19, M4: 14/19, M5: 18/19, M6: 24/19, q1: 18/19, q2: 8/19, qb1: 6/19, qb2: 12/19, phi1: 8/19} |
| 3079 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}X_{1}$ | 0.5666 | 0.7034 | 0.8055 | [X:[1.3424], M:[0.6576, 1.1532, 1.0361, 0.7297, 0.9639, 1.2703, 0.7747], q:[0.9415, 0.401], qb:[0.3288, 0.6351], phi:[0.4234]] | t^2.189 + t^2.324 + t^2.892 + t^3.108 + t^3.243 + 2*t^3.459 + t^3.811 + t^4.027 + t^4.378 + t^4.513 + t^4.648 + t^4.73 + t^5.081 + t^5.216 + t^5.297 + t^5.432 + t^5.567 + t^5.649 + 2*t^5.784 - t^6. - t^4.27/y - t^4.27*y | detail | |
| 3080 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5829 | 0.7351 | 0.7929 | [M:[0.7246, 1.141, 0.9934, 0.7115, 1.0066, 1.2885, 0.8459], q:[0.9262, 0.3492], qb:[0.3623, 0.6443], phi:[0.4295]] | t^2.134 + t^2.174 + t^2.538 + t^2.98 + t^3.02 + t^3.384 + 2*t^3.423 + t^3.866 + t^4.269 + t^4.308 + t^4.348 + t^4.672 + 2*t^4.711 + t^5.075 + t^5.115 + 2*t^5.154 + t^5.193 + 2*t^5.518 + 3*t^5.557 + t^5.597 + t^5.921 + 2*t^5.961 - t^6. - t^4.289/y - t^4.289*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 |
|---|---|---|---|---|---|---|---|---|---|
| 836 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ | 0.6993 | 0.8557 | 0.8173 | [M:[0.8954, 1.0294, 1.0457, 0.9868, 0.9543, 1.0132], q:[0.5655, 0.5391], qb:[0.4477, 0.5066], phi:[0.4853]] | t^2.686 + t^2.863 + t^2.961 + t^3.039 + t^3.088 + t^3.137 + t^3.216 + t^4.142 + t^4.319 + t^4.416 + 2*t^4.495 + t^4.593 + t^4.672 + t^4.691 + t^4.77 + t^4.849 + t^5.372 + t^5.549 + t^5.726 + t^5.775 + t^5.902 + t^5.951 - 2*t^6. - t^4.456/y - t^4.456*y | detail |