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 |
|---|---|---|---|---|---|---|---|---|---|
| 4393 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 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]] | [M:[[22], [-4], [-14], [-6], [14], [6], [-14], [-24]], q:[[-5], [-17]], qb:[[11], [3]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | 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. + 2*t^6.226 + 4*t^6.349 - t^6.473 + t^6.575 + t^6.596 + 2*t^6.698 + t^6.72 + 3*t^6.822 + t^7.047 + 3*t^7.171 + t^7.295 + t^7.396 + t^7.418 + 3*t^7.52 + 4*t^7.644 + 3*t^7.869 + t^7.891 + 4*t^7.993 + t^8.116 + t^8.218 - 4*t^8.24 + 6*t^8.342 + 3*t^8.691 - t^8.713 + 7*t^8.815 + t^8.836 - 5*t^8.938 + t^8.96 - t^4.295/y - t^6.535/y - t^6.76/y - t^7.233/y + (2*t^7.356)/y + t^7.582/y + t^7.705/y + t^7.829/y + (3*t^8.055)/y + (2*t^8.178)/y + (3*t^8.404)/y + (3*t^8.527)/y + (2*t^8.651)/y + t^8.753/y - t^8.774/y + (3*t^8.876)/y - t^4.295*y - t^6.535*y - t^6.76*y - t^7.233*y + 2*t^7.356*y + t^7.582*y + t^7.705*y + t^7.829*y + 3*t^8.055*y + 2*t^8.178*y + 3*t^8.404*y + 3*t^8.527*y + 2*t^8.651*y + t^8.753*y - t^8.774*y + 3*t^8.876*y | t^2.116/g1^6 + g1^22*t^2.24 + t^2.465/g1^24 + (2*t^2.938)/g1^14 + t^3.287/g1^32 + (2*t^3.411)/g1^4 + g1^6*t^3.884 + t^4.233/g1^12 + g1^16*t^4.356 + g1^44*t^4.48 + t^4.582/g1^30 + (2*t^4.705)/g1^2 + t^4.931/g1^48 + (2*t^5.055)/g1^20 + 2*g1^8*t^5.178 + (3*t^5.404)/g1^38 + (2*t^5.527)/g1^10 + g1^18*t^5.651 + t^5.753/g1^56 + (4*t^5.876)/g1^28 - 2*t^6. + (2*t^6.226)/g1^46 + (4*t^6.349)/g1^18 - g1^10*t^6.473 + t^6.575/g1^64 + g1^38*t^6.596 + (2*t^6.698)/g1^36 + g1^66*t^6.72 + (3*t^6.822)/g1^8 + t^7.047/g1^54 + (3*t^7.171)/g1^26 + g1^2*t^7.295 + t^7.396/g1^72 + g1^30*t^7.418 + (3*t^7.52)/g1^44 + (4*t^7.644)/g1^16 + (3*t^7.869)/g1^62 + g1^40*t^7.891 + (4*t^7.993)/g1^34 + t^8.116/g1^6 + t^8.218/g1^80 - 4*g1^22*t^8.24 + (6*t^8.342)/g1^52 + (3*t^8.691)/g1^70 - g1^32*t^8.713 + (7*t^8.815)/g1^42 + g1^60*t^8.836 - (5*t^8.938)/g1^14 + g1^88*t^8.96 - (g1^2*t^4.295)/y - (g1^24*t^6.535)/y - t^6.76/(g1^22*y) - t^7.233/(g1^12*y) + (2*g1^16*t^7.356)/y + t^7.582/(g1^30*y) + t^7.705/(g1^2*y) + (g1^26*t^7.829)/y + (3*t^8.055)/(g1^20*y) + (2*g1^8*t^8.178)/y + (3*t^8.404)/(g1^38*y) + (3*t^8.527)/(g1^10*y) + (2*g1^18*t^8.651)/y + t^8.753/(g1^56*y) - (g1^46*t^8.774)/y + (3*t^8.876)/(g1^28*y) - g1^2*t^4.295*y - g1^24*t^6.535*y - (t^6.76*y)/g1^22 - (t^7.233*y)/g1^12 + 2*g1^16*t^7.356*y + (t^7.582*y)/g1^30 + (t^7.705*y)/g1^2 + g1^26*t^7.829*y + (3*t^8.055*y)/g1^20 + 2*g1^8*t^8.178*y + (3*t^8.404*y)/g1^38 + (3*t^8.527*y)/g1^10 + 2*g1^18*t^8.651*y + (t^8.753*y)/g1^56 - g1^46*t^8.774*y + (3*t^8.876*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 |
|---|---|---|---|---|---|---|---|---|
| 5883 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{9}$ | 0.6046 | 0.7777 | 0.7774 | [M:[0.7487, 1.1366, 0.9781, 0.7049, 1.0219, 1.2951, 0.9781, 0.8196, 0.7049], q:[0.9208, 0.3306], qb:[0.3743, 0.6475], phi:[0.4317]] | 2*t^2.115 + t^2.246 + t^2.459 + 2*t^2.934 + t^3.278 + 2*t^3.41 + 3*t^4.229 + 2*t^4.361 + t^4.492 + 2*t^4.574 + 2*t^4.705 + t^4.918 + 4*t^5.049 + 2*t^5.18 + 4*t^5.393 + 4*t^5.525 + t^5.656 + t^5.737 + 4*t^5.869 - 3*t^6. - t^4.295/y - t^4.295*y | detail | |
| 5880 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{5}M_{7}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.5954 | 0.7561 | 0.7874 | [M:[0.7067, 1.1442, 1.0048, 0.7164, 0.9952, 1.2836, 1.0048, 0.8654, 0.8461], q:[0.9303, 0.363], qb:[0.3533, 0.6418], phi:[0.4279]] | t^2.12 + t^2.149 + t^2.538 + t^2.596 + 2*t^3.015 + 2*t^3.433 + t^3.851 + t^4.24 + t^4.269 + t^4.298 + t^4.658 + t^4.687 + 2*t^4.716 + t^4.745 + t^5.076 + 3*t^5.135 + 2*t^5.164 + t^5.193 + 3*t^5.553 + t^5.582 + 2*t^5.611 + 2*t^5.971 - 2*t^6. - t^4.284/y - t^4.284*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^4.286/y - t^4.286*y | detail |