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 |
|---|---|---|---|---|---|---|---|---|---|
| 2397 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6399 | 0.7972 | 0.8027 | [M:[0.7395, 1.0331, 1.1943, 1.128, 0.8057, 0.872, 1.128], q:[0.5022, 0.7583], qb:[0.3697, 0.436], phi:[0.4834]] | [M:[[-34], [12], [10], [-14], [-10], [14], [-14]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.218 + t^2.417 + t^2.815 + t^3.099 + 2*t^3.384 + t^3.583 + t^3.669 + t^3.868 + 2*t^4.066 + t^4.265 + t^4.437 + t^4.464 + t^4.636 + t^4.834 + t^5.033 + t^5.232 + t^5.318 + t^5.517 + t^5.603 + t^5.629 + t^5.801 + t^5.887 + t^5.914 - 2*t^6. + 2*t^6.086 + 2*t^6.285 + 4*t^6.483 + t^6.655 + 2*t^6.682 + 2*t^6.768 + t^6.854 + 2*t^6.881 + t^6.967 + 2*t^7.053 + t^7.08 + 2*t^7.252 + t^7.278 + t^7.338 + 2*t^7.45 + 2*t^7.536 + t^7.649 + 3*t^7.735 + t^7.821 + t^7.848 + 2*t^7.934 + t^8.047 + t^8.106 + 3*t^8.132 - 2*t^8.218 + 2*t^8.304 + 2*t^8.331 - 3*t^8.417 + t^8.444 + 3*t^8.503 + 2*t^8.53 - 2*t^8.616 + 3*t^8.702 + 2*t^8.729 - 3*t^8.815 + t^8.874 + 3*t^8.901 + t^8.927 + t^8.987 - t^4.45/y - t^6.669/y + t^7.066/y + t^7.636/y - t^7.834/y + t^8.033/y + (2*t^8.232)/y + t^8.318/y + t^8.517/y + (2*t^8.603)/y + (3*t^8.801)/y + t^8.914/y - t^4.45*y - t^6.669*y + t^7.066*y + t^7.636*y - t^7.834*y + t^8.033*y + 2*t^8.232*y + t^8.318*y + t^8.517*y + 2*t^8.603*y + 3*t^8.801*y + t^8.914*y | t^2.218/g1^34 + t^2.417/g1^10 + g1^38*t^2.815 + g1^12*t^3.099 + (2*t^3.384)/g1^14 + g1^10*t^3.583 + t^3.669/g1^40 + t^3.868/g1^16 + 2*g1^8*t^4.066 + g1^32*t^4.265 + t^4.437/g1^68 + g1^56*t^4.464 + t^4.636/g1^44 + t^4.834/g1^20 + g1^4*t^5.033 + g1^28*t^5.232 + t^5.318/g1^22 + g1^2*t^5.517 + t^5.603/g1^48 + g1^76*t^5.629 + t^5.801/g1^24 + t^5.887/g1^74 + g1^50*t^5.914 - 2*t^6. + (2*t^6.086)/g1^50 + (2*t^6.285)/g1^26 + (4*t^6.483)/g1^2 + t^6.655/g1^102 + 2*g1^22*t^6.682 + (2*t^6.768)/g1^28 + t^6.854/g1^78 + 2*g1^46*t^6.881 + t^6.967/g1^4 + (2*t^7.053)/g1^54 + g1^70*t^7.08 + (2*t^7.252)/g1^30 + g1^94*t^7.278 + t^7.338/g1^80 + (2*t^7.45)/g1^6 + (2*t^7.536)/g1^56 + g1^18*t^7.649 + (3*t^7.735)/g1^32 + t^7.821/g1^82 + g1^42*t^7.848 + (2*t^7.934)/g1^8 + g1^66*t^8.047 + t^8.106/g1^108 + 3*g1^16*t^8.132 - (2*t^8.218)/g1^34 + (2*t^8.304)/g1^84 + 2*g1^40*t^8.331 - (3*t^8.417)/g1^10 + g1^114*t^8.444 + (3*t^8.503)/g1^60 + 2*g1^64*t^8.53 - 2*g1^14*t^8.616 + (3*t^8.702)/g1^36 + 2*g1^88*t^8.729 - 3*g1^38*t^8.815 + t^8.874/g1^136 + (3*t^8.901)/g1^12 + g1^112*t^8.927 + t^8.987/g1^62 - t^4.45/(g1^6*y) - t^6.669/(g1^40*y) + (g1^8*t^7.066)/y + t^7.636/(g1^44*y) - t^7.834/(g1^20*y) + (g1^4*t^8.033)/y + (2*g1^28*t^8.232)/y + t^8.318/(g1^22*y) + (g1^2*t^8.517)/y + (2*t^8.603)/(g1^48*y) + (3*t^8.801)/(g1^24*y) + (g1^50*t^8.914)/y - (t^4.45*y)/g1^6 - (t^6.669*y)/g1^40 + g1^8*t^7.066*y + (t^7.636*y)/g1^44 - (t^7.834*y)/g1^20 + g1^4*t^8.033*y + 2*g1^28*t^8.232*y + (t^8.318*y)/g1^22 + g1^2*t^8.517*y + (2*t^8.603*y)/g1^48 + (3*t^8.801*y)/g1^24 + g1^50*t^8.914*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 |
|---|---|---|---|---|---|---|---|---|
| 4426 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6396 | 0.7967 | 0.8028 | [M:[0.7568, 1.027, 1.1892, 1.1351, 0.8108, 0.8649, 1.1351], q:[0.4865, 0.7568], qb:[0.3784, 0.4324], phi:[0.4865]] | t^2.27 + t^2.432 + t^2.757 + t^3.081 + 2*t^3.405 + t^3.568 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + t^4.703 + t^4.865 + t^5.027 + t^5.189 + t^5.351 + 2*t^5.514 + t^5.676 + 2*t^5.838 - t^6. - t^4.459/y - t^4.459*y | detail | {a: 518337/810448, c: 322827/405224, M1: 28/37, M2: 38/37, M3: 44/37, M4: 42/37, M5: 30/37, M6: 32/37, M7: 42/37, q1: 18/37, q2: 28/37, qb1: 14/37, qb2: 16/37, phi1: 18/37} |
| 4432 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6603 | 0.8357 | 0.7901 | [M:[0.7437, 1.0316, 1.193, 1.1298, 0.807, 0.8702, 1.1298, 0.7089], q:[0.4984, 0.7579], qb:[0.3718, 0.4351], phi:[0.4842]] | t^2.127 + t^2.231 + t^2.421 + t^2.801 + t^3.095 + 2*t^3.389 + t^3.579 + t^3.684 + 2*t^4.063 + 2*t^4.253 + t^4.358 + t^4.443 + t^4.462 + t^4.547 + t^4.652 + t^4.842 + t^4.927 + t^5.032 + 2*t^5.221 + t^5.326 + 3*t^5.516 + t^5.601 + t^5.62 + t^5.706 + 2*t^5.81 + t^5.896 + t^5.915 - 2*t^6. - t^4.453/y - t^4.453*y | detail | |
| 4430 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6583 | 0.8308 | 0.7924 | [M:[0.7595, 1.0261, 1.1884, 1.1363, 0.8116, 0.8637, 1.1363, 0.7535], q:[0.484, 0.7565], qb:[0.3798, 0.4319], phi:[0.487]] | t^2.261 + t^2.279 + t^2.435 + t^2.748 + t^3.078 + 2*t^3.409 + t^3.565 + t^3.896 + 2*t^4.052 + t^4.208 + t^4.365 + t^4.521 + t^4.539 + t^4.557 + t^4.695 + t^4.713 + t^4.87 + t^5.008 + t^5.026 + t^5.182 + t^5.339 + t^5.357 + t^5.495 + t^5.513 + 2*t^5.669 + t^5.687 + 2*t^5.826 + t^5.844 - 2*t^6. - t^4.461/y - t^4.461*y | detail | |
| 4424 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6361 | 0.794 | 0.8011 | [M:[0.6842, 1.0526, 1.2105, 1.1053, 0.7895, 0.8947, 1.1053], q:[0.5526, 0.7632], qb:[0.3421, 0.4474], phi:[0.4737]] | t^2.053 + t^2.368 + t^3. + t^3.158 + 2*t^3.316 + t^3.474 + t^3.632 + t^3.789 + 3*t^4.105 + 2*t^4.421 + 2*t^4.737 + t^5.053 + t^5.211 + 2*t^5.368 + 2*t^5.526 + t^5.684 + 2*t^5.842 - t^6. - t^4.421/y - t^4.421*y | detail | {a: 69813/109744, c: 87141/109744, M1: 13/19, M2: 20/19, M3: 23/19, M4: 21/19, M5: 15/19, M6: 17/19, M7: 21/19, q1: 21/38, q2: 29/38, qb1: 13/38, qb2: 17/38, phi1: 9/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1329 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}M_{7}$ | 0.7018 | 0.8592 | 0.8168 | [M:[0.8944, 1.0363, 1.0329, 0.9602, 0.9671, 1.0398, 0.9602], q:[0.5926, 0.513], qb:[0.4472, 0.5199], phi:[0.4818]] | t^2.683 + 2*t^2.881 + t^2.901 + t^3.099 + t^3.109 + t^3.337 + t^4.129 + t^4.326 + t^4.347 + t^4.523 + t^4.544 + 2*t^4.565 + t^4.762 + t^4.783 + t^5.001 + t^5.367 + t^5.564 + t^5.585 + 2*t^5.761 + t^5.782 + t^5.792 + t^5.979 + 2*t^5.99 - 3*t^6. - t^4.445/y - t^4.445*y | detail |