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 |
|---|---|---|---|---|---|---|---|---|---|
| 46634 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6574 | 0.8268 | 0.7952 | [M:[1.1451, 0.7351, 0.8549, 0.7916, 0.6718], q:[0.3958, 0.4591], qb:[0.8691, 0.7492], phi:[0.3817]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [-7, -7]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | t^2.015 + t^2.205 + t^2.29 + t^2.375 + t^2.565 + t^3.435 + t^3.52 + t^3.71 + t^3.9 + t^4.031 + t^4.221 + t^4.305 + t^4.39 + t^4.411 + t^4.495 + 3*t^4.58 + t^4.665 + t^4.75 + t^4.77 + 2*t^4.855 + t^4.94 + t^5.13 + t^5.451 + t^5.535 + t^5.64 + 2*t^5.725 + t^5.81 + t^5.895 + t^5.915 - t^6. + t^6.046 + t^6.085 + t^6.105 + t^6.236 + t^6.275 + t^6.321 + t^6.406 + t^6.426 + t^6.465 + t^6.511 + 3*t^6.596 + t^6.616 + t^6.68 + t^6.701 + t^6.765 + 3*t^6.786 + 4*t^6.87 + 3*t^6.955 + t^6.975 + 2*t^7.04 + t^7.06 + t^7.125 + 2*t^7.145 + t^7.23 + t^7.315 + t^7.466 + t^7.551 + t^7.656 + 2*t^7.741 + t^7.8 + t^7.825 + t^7.846 + t^7.91 + 2*t^7.931 + t^8.061 + 2*t^8.1 + t^8.121 + t^8.185 - 2*t^8.205 + t^8.251 + t^8.27 + t^8.31 + t^8.336 - 2*t^8.375 + t^8.421 + t^8.441 + t^8.46 + t^8.526 - 3*t^8.565 + 3*t^8.611 + t^8.631 + t^8.67 + t^8.696 + t^8.716 + t^8.781 + 3*t^8.801 + t^8.821 + 4*t^8.886 + t^8.906 + 3*t^8.97 + 3*t^8.991 - t^4.145/y - t^6.16/y - t^6.35/y - t^6.435/y - t^6.52/y + t^7.221/y + t^7.305/y + t^7.39/y + t^7.495/y + (2*t^7.58)/y + t^7.665/y + (2*t^7.77)/y + (2*t^7.855)/y + (2*t^7.94)/y + t^8.13/y - t^8.176/y - t^8.366/y - t^8.556/y + t^8.725/y + t^8.81/y + (2*t^8.915)/y - t^4.145*y - t^6.16*y - t^6.35*y - t^6.435*y - t^6.52*y + t^7.221*y + t^7.305*y + t^7.39*y + t^7.495*y + 2*t^7.58*y + t^7.665*y + 2*t^7.77*y + 2*t^7.855*y + 2*t^7.94*y + t^8.13*y - t^8.176*y - t^8.366*y - t^8.556*y + t^8.725*y + t^8.81*y + 2*t^8.915*y | t^2.015/(g1^7*g2^7) + g1^2*g2^4*t^2.205 + t^2.29/(g1^2*g2^2) + t^2.375/(g1^6*g2^8) + g1^3*g2^3*t^2.565 + t^3.435/(g1^3*g2^3) + t^3.52/(g1^7*g2^9) + g1^2*g2^2*t^3.71 + g1^11*g2^13*t^3.9 + t^4.031/(g1^14*g2^14) + t^4.221/(g1^5*g2^3) + t^4.305/(g1^9*g2^9) + t^4.39/(g1^13*g2^15) + g1^4*g2^8*t^4.411 + g2^2*t^4.495 + (3*t^4.58)/(g1^4*g2^4) + t^4.665/(g1^8*g2^10) + t^4.75/(g1^12*g2^16) + g1^5*g2^7*t^4.77 + 2*g1*g2*t^4.855 + t^4.94/(g1^3*g2^5) + g1^6*g2^6*t^5.13 + t^5.451/(g1^10*g2^10) + t^5.535/(g1^14*g2^16) + (g2*t^5.64)/g1 + (2*t^5.725)/(g1^5*g2^5) + t^5.81/(g1^9*g2^11) + t^5.895/(g1^13*g2^17) + g1^4*g2^6*t^5.915 - t^6. + t^6.046/(g1^21*g2^21) + t^6.085/(g1^4*g2^6) + g1^13*g2^17*t^6.105 + t^6.236/(g1^12*g2^10) + g1^5*g2^5*t^6.275 + t^6.321/(g1^16*g2^16) + t^6.406/(g1^20*g2^22) + (g2*t^6.426)/g1^3 + g1^14*g2^16*t^6.465 + t^6.511/(g1^7*g2^5) + (3*t^6.596)/(g1^11*g2^11) + g1^6*g2^12*t^6.616 + t^6.68/(g1^15*g2^17) + g1^2*g2^6*t^6.701 + t^6.765/(g1^19*g2^23) + (3*t^6.786)/g1^2 + (4*t^6.87)/(g1^6*g2^6) + (3*t^6.955)/(g1^10*g2^12) + g1^7*g2^11*t^6.975 + (2*t^7.04)/(g1^14*g2^18) + g1^3*g2^5*t^7.06 + t^7.125/(g1^18*g2^24) + (2*t^7.145)/(g1*g2) + t^7.23/(g1^5*g2^7) + t^7.315/(g1^9*g2^13) + t^7.466/(g1^17*g2^17) + t^7.551/(g1^21*g2^23) + t^7.656/(g1^8*g2^6) + (2*t^7.741)/(g1^12*g2^12) + g1^22*g2^26*t^7.8 + t^7.825/(g1^16*g2^18) + g1*g2^5*t^7.846 + t^7.91/(g1^20*g2^24) + (2*t^7.931)/(g1^3*g2) + t^8.061/(g1^28*g2^28) + (2*t^8.1)/(g1^11*g2^13) + g1^6*g2^10*t^8.121 + t^8.185/(g1^15*g2^19) - 2*g1^2*g2^4*t^8.205 + t^8.251/(g1^19*g2^17) + t^8.27/(g1^19*g2^25) + g1^15*g2^21*t^8.31 + t^8.336/(g1^23*g2^23) - (2*t^8.375)/(g1^6*g2^8) + t^8.421/(g1^27*g2^29) + t^8.441/(g1^10*g2^6) + t^8.46/(g1^10*g2^14) + t^8.526/(g1^14*g2^12) - 3*g1^3*g2^3*t^8.565 + (3*t^8.611)/(g1^18*g2^18) + (g2^5*t^8.631)/g1 + g1^16*g2^20*t^8.67 + t^8.696/(g1^22*g2^24) + t^8.716/(g1^5*g2) + t^8.781/(g1^26*g2^30) + (3*t^8.801)/(g1^9*g2^7) + g1^8*g2^16*t^8.821 + (4*t^8.886)/(g1^13*g2^13) + g1^4*g2^10*t^8.906 + (3*t^8.97)/(g1^17*g2^19) + 3*g2^4*t^8.991 - t^4.145/(g1*g2*y) - t^6.16/(g1^8*g2^8*y) - (g1*g2^3*t^6.35)/y - t^6.435/(g1^3*g2^3*y) - t^6.52/(g1^7*g2^9*y) + t^7.221/(g1^5*g2^3*y) + t^7.305/(g1^9*g2^9*y) + t^7.39/(g1^13*g2^15*y) + (g2^2*t^7.495)/y + (2*t^7.58)/(g1^4*g2^4*y) + t^7.665/(g1^8*g2^10*y) + (2*g1^5*g2^7*t^7.77)/y + (2*g1*g2*t^7.855)/y + (2*t^7.94)/(g1^3*g2^5*y) + (g1^6*g2^6*t^8.13)/y - t^8.176/(g1^15*g2^15*y) - t^8.366/(g1^6*g2^4*y) - (g1^3*g2^7*t^8.556)/y + t^8.725/(g1^5*g2^5*y) + t^8.81/(g1^9*g2^11*y) + (2*g1^4*g2^6*t^8.915)/y - (t^4.145*y)/(g1*g2) - (t^6.16*y)/(g1^8*g2^8) - g1*g2^3*t^6.35*y - (t^6.435*y)/(g1^3*g2^3) - (t^6.52*y)/(g1^7*g2^9) + (t^7.221*y)/(g1^5*g2^3) + (t^7.305*y)/(g1^9*g2^9) + (t^7.39*y)/(g1^13*g2^15) + g2^2*t^7.495*y + (2*t^7.58*y)/(g1^4*g2^4) + (t^7.665*y)/(g1^8*g2^10) + 2*g1^5*g2^7*t^7.77*y + 2*g1*g2*t^7.855*y + (2*t^7.94*y)/(g1^3*g2^5) + g1^6*g2^6*t^8.13*y - (t^8.176*y)/(g1^15*g2^15) - (t^8.366*y)/(g1^6*g2^4) - g1^3*g2^7*t^8.556*y + (t^8.725*y)/(g1^5*g2^5) + (t^8.81*y)/(g1^9*g2^11) + 2*g1^4*g2^6*t^8.915*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 |
|---|---|---|---|---|---|---|---|---|
| 47176 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6706 | 0.8484 | 0.7904 | [M:[1.1549, 0.7464, 0.8451, 0.7935, 0.6948, 0.8451], q:[0.3967, 0.4484], qb:[0.8569, 0.7582], phi:[0.385]] | t^2.084 + t^2.239 + t^2.31 + t^2.38 + 2*t^2.535 + t^3.535 + t^3.69 + t^3.845 + t^4.169 + t^4.324 + t^4.394 + t^4.465 + t^4.478 + t^4.549 + 4*t^4.62 + t^4.69 + t^4.761 + 2*t^4.775 + 3*t^4.845 + 2*t^4.916 + 3*t^5.071 + t^5.62 + t^5.775 + t^5.916 + t^5.929 - 2*t^6. - t^4.155/y - t^4.155*y | detail | |
| 47192 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ | 0.5838 | 0.7365 | 0.7926 | [M:[1.2777, 1.0186, 0.7223, 0.685, 0.9814], q:[0.3425, 0.3798], qb:[0.6389, 0.9352], phi:[0.4259]] | t^2.055 + t^2.167 + t^2.555 + t^2.944 + t^3.056 + t^3.333 + t^3.445 + t^3.556 + t^3.833 + t^4.11 + t^4.222 + t^4.334 + t^4.61 + 2*t^4.722 + t^4.999 + 3*t^5.111 + t^5.223 + t^5.388 + 2*t^5.5 + 2*t^5.611 + t^5.723 + 2*t^5.888 - t^4.278/y - t^4.278*y | detail | |
| 48121 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6571 | 0.8263 | 0.7953 | [M:[1.1467, 0.7201, 0.8533, 0.8089, 0.6757], q:[0.4044, 0.4488], qb:[0.8754, 0.7423], phi:[0.3822]] | t^2.027 + t^2.16 + t^2.293 + t^2.427 + t^2.56 + t^3.44 + t^3.573 + t^3.707 + t^3.84 + t^4.054 + t^4.188 + 2*t^4.321 + 2*t^4.454 + 3*t^4.587 + 2*t^4.72 + 3*t^4.853 + t^4.986 + t^5.12 + t^5.467 + 2*t^5.601 + 2*t^5.734 + 2*t^5.867 + t^6. - t^4.147/y - t^4.147*y | detail | |
| 47200 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6567 | 0.8256 | 0.7954 | [M:[1.1486, 0.7658, 0.8514, 0.7658, 0.6801], q:[0.3829, 0.4685], qb:[0.8514, 0.7658], phi:[0.3829]] | t^2.04 + 3*t^2.297 + t^2.554 + 2*t^3.446 + t^3.703 + t^3.96 + t^4.081 + 3*t^4.338 + 7*t^4.595 + 4*t^4.851 + t^5.108 + 2*t^5.486 + 5*t^5.743 + t^6. - t^4.149/y - t^4.149*y | detail | |
| 48225 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ | 0.5904 | 0.7422 | 0.7955 | [M:[1.2857, 0.9107, 0.7143, 0.8036, 1.0], q:[0.4018, 0.3125], qb:[0.6875, 0.8839], phi:[0.4286]] | t^2.143 + t^2.411 + t^2.571 + t^2.732 + t^3. + t^3.161 + t^3.429 + t^3.696 + t^3.857 + t^4.286 + t^4.554 + 2*t^4.714 + t^4.821 + t^4.875 + t^4.982 + 3*t^5.143 + 2*t^5.304 + t^5.411 + t^5.464 + 2*t^5.571 + t^5.732 + t^5.839 + t^5.893 - t^4.286/y - t^4.286*y | detail | {a: 51843/87808, c: 65171/87808, M1: 9/7, M2: 51/56, M3: 5/7, M4: 45/56, M5: 1, q1: 45/112, q2: 5/16, qb1: 11/16, qb2: 99/112, phi1: 3/7} |
| 48168 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6733 | 0.8548 | 0.7876 | [M:[1.1492, 0.7116, 0.8508, 0.8206, 0.6814, 0.7963], q:[0.4103, 0.4405], qb:[0.8781, 0.7389], phi:[0.3831]] | t^2.044 + t^2.135 + t^2.298 + t^2.389 + t^2.462 + t^2.552 + t^3.448 + t^3.702 + t^3.792 + t^4.088 + t^4.179 + t^4.27 + t^4.343 + 2*t^4.433 + t^4.506 + t^4.524 + 3*t^4.597 + 2*t^4.687 + t^4.76 + t^4.778 + 3*t^4.851 + t^4.924 + t^4.941 + t^5.014 + t^5.105 + t^5.492 + t^5.582 + t^5.746 + 2*t^5.836 + t^5.927 - t^6. - t^4.149/y - t^4.149*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46128 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.7297 | 0.8972 | 0.8133 | [M:[0.9845, 0.8794, 1.0155, 0.9008, 0.7647], q:[0.4504, 0.5651], qb:[0.6702, 0.5341], phi:[0.445]] | t^2.294 + t^2.638 + t^2.67 + t^2.702 + t^2.954 + t^3.046 + t^3.613 + t^4.037 + t^4.289 + t^4.382 + t^4.54 + t^4.588 + t^4.633 + t^4.697 + t^4.726 + t^4.932 + t^4.948 + t^4.964 + t^4.996 + t^5.041 + t^5.248 + t^5.277 + t^5.309 + 2*t^5.341 + t^5.356 + t^5.373 + t^5.405 + t^5.624 + t^5.717 + t^5.907 - 3*t^6. - t^4.335/y - t^4.335*y | detail |