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 |
|---|---|---|---|---|---|---|---|---|---|
| 837 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ | 0.6995 | 0.856 | 0.8172 | [M:[1.0482, 1.0302, 0.8913, 0.9877, 0.9518, 1.0123], q:[0.4881, 0.4636], qb:[0.5241, 0.5846], phi:[0.4849]] | [M:[[8, 0], [-2, 2], [-4, -4], [12, -4], [-8, 0], [-12, 4]], q:[[-16, 4], [8, -4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{5}$ | ${}$ | -2 | t^2.674 + t^2.855 + t^2.963 + t^3.037 + t^3.091 + t^3.145 + t^3.218 + t^4.236 + t^4.31 + t^4.383 + t^4.418 + t^4.491 + 2*t^4.599 + t^4.673 + t^4.781 + t^4.962 + t^5.348 + t^5.529 + t^5.711 + t^5.765 + t^5.892 + t^5.946 - 2*t^6. + t^6.054 + t^6.074 + t^6.128 + t^6.235 + t^6.255 + t^6.309 + t^6.436 + t^6.91 + t^6.984 + t^7.057 + t^7.092 + t^7.165 + t^7.2 + t^7.239 + 2*t^7.273 + 2*t^7.347 + t^7.381 + t^7.42 + 2*t^7.455 + 2*t^7.528 + t^7.563 + t^7.602 + 2*t^7.636 + t^7.71 + t^7.744 + 2*t^7.818 + t^7.891 + t^7.926 + t^7.999 + t^8.021 + t^8.107 + t^8.181 + t^8.203 + t^8.384 + t^8.438 + t^8.473 + t^8.546 + t^8.566 - t^8.6 + 2*t^8.62 + t^8.654 - 3*t^8.674 + t^8.693 + t^8.728 + t^8.767 - 2*t^8.782 + 2*t^8.801 + 2*t^8.836 - 4*t^8.855 + t^8.875 + 2*t^8.909 - 4*t^8.963 + 3*t^8.983 - t^4.455/y - t^7.128/y + t^7.781/y + t^8.529/y + t^8.637/y + t^8.711/y + t^8.765/y + (2*t^8.819)/y + (2*t^8.892)/y + t^8.946/y - t^4.455*y - t^7.128*y + t^7.781*y + t^8.529*y + t^8.637*y + t^8.711*y + t^8.765*y + 2*t^8.819*y + 2*t^8.892*y + t^8.946*y | t^2.674/(g1^4*g2^4) + t^2.855/g1^8 + (g1^12*t^2.963)/g2^4 + (g2^4*t^3.037)/g1^12 + (g2^2*t^3.091)/g1^2 + g1^8*t^3.145 + (g2^8*t^3.218)/g1^16 + (g1^17*t^4.236)/g2^9 + t^4.31/(g1^7*g2) + (g2^7*t^4.383)/g1^31 + (g1^13*t^4.418)/g2^5 + (g2^3*t^4.491)/g1^11 + (2*g1^9*t^4.599)/g2 + (g2^7*t^4.673)/g1^15 + g1^5*g2^3*t^4.781 + g1*g2^7*t^4.962 + t^5.348/(g1^8*g2^8) + t^5.529/(g1^12*g2^4) + t^5.711/g1^16 + t^5.765/(g1^6*g2^2) + (g2^4*t^5.892)/g1^20 + (g2^2*t^5.946)/g1^10 - 2*t^6. + (g1^10*t^6.054)/g2^2 + (g2^8*t^6.074)/g1^24 + (g2^6*t^6.128)/g1^14 + g1^6*g2^2*t^6.235 + (g2^12*t^6.255)/g1^28 + (g2^10*t^6.309)/g1^18 + (g2^16*t^6.436)/g1^32 + (g1^13*t^6.91)/g2^13 + t^6.984/(g1^11*g2^5) + (g2^3*t^7.057)/g1^35 + (g1^9*t^7.092)/g2^9 + t^7.165/(g1^15*g2) + (g1^29*t^7.2)/g2^13 + (g2^7*t^7.239)/g1^39 + (2*g1^5*t^7.273)/g2^5 + (2*g2^3*t^7.347)/g1^19 + (g1^25*t^7.381)/g2^9 + (g2^11*t^7.42)/g1^43 + (2*g1*t^7.455)/g2 + (2*g2^7*t^7.528)/g1^23 + (g1^21*t^7.563)/g2^5 + (g2^15*t^7.602)/g1^47 + (2*g2^3*t^7.636)/g1^3 + (g2^11*t^7.71)/g1^27 + (g1^17*t^7.744)/g2 + (2*g2^7*t^7.818)/g1^7 + (g2^15*t^7.891)/g1^31 + g1^13*g2^3*t^7.926 + (g2^11*t^7.999)/g1^11 + t^8.021/(g1^12*g2^12) + g1^9*g2^7*t^8.107 + (g2^15*t^8.181)/g1^15 + t^8.203/(g1^16*g2^8) + t^8.384/(g1^20*g2^4) + t^8.438/(g1^10*g2^6) + (g1^34*t^8.473)/g2^18 + (g1^10*t^8.546)/g2^10 + t^8.566/g1^24 - (g1^20*t^8.6)/g2^12 + (2*t^8.62)/(g1^14*g2^2) + (g1^30*t^8.654)/g2^14 - (3*t^8.674)/(g1^4*g2^4) + (g2^6*t^8.693)/g1^38 + (g1^6*t^8.728)/g2^6 + (g2^14*t^8.767)/g1^62 - (2*g1^16*t^8.782)/g2^8 + (2*g2^2*t^8.801)/g1^18 + (2*g1^26*t^8.836)/g2^10 - (4*t^8.855)/g1^8 + (g2^10*t^8.875)/g1^42 + (2*g1^2*t^8.909)/g2^2 - (4*g1^12*t^8.963)/g2^4 + (3*g2^6*t^8.983)/g1^22 - (g1*t^4.455)/(g2*y) - t^7.128/(g1^3*g2^5*y) + (g1^5*g2^3*t^7.781)/y + t^8.529/(g1^12*g2^4*y) + (g1^8*t^8.637)/(g2^8*y) + t^8.711/(g1^16*y) + t^8.765/(g1^6*g2^2*y) + (2*g1^4*t^8.819)/(g2^4*y) + (2*g2^4*t^8.892)/(g1^20*y) + (g2^2*t^8.946)/(g1^10*y) - (g1*t^4.455*y)/g2 - (t^7.128*y)/(g1^3*g2^5) + g1^5*g2^3*t^7.781*y + (t^8.529*y)/(g1^12*g2^4) + (g1^8*t^8.637*y)/g2^8 + (t^8.711*y)/g1^16 + (t^8.765*y)/(g1^6*g2^2) + (2*g1^4*t^8.819*y)/g2^4 + (2*g2^4*t^8.892*y)/g1^20 + (g2^2*t^8.946*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1334 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ | 0.705 | 0.8667 | 0.8134 | [M:[1.0704, 1.0358, 0.858, 0.9988, 0.9296, 1.0012, 0.9296], q:[0.466, 0.4636], qb:[0.5352, 0.6068], phi:[0.4821]] | t^2.574 + 2*t^2.789 + t^2.996 + t^3.004 + t^3.107 + t^3.218 + t^4.228 + t^4.235 + t^4.242 + t^4.443 + t^4.45 + 2*t^4.658 + t^4.665 + t^4.872 + t^5.087 + t^5.148 + 2*t^5.363 + 3*t^5.578 + t^5.681 + 2*t^5.792 + 2*t^5.896 - 3*t^6. - t^4.446/y - t^4.446*y | detail | |
| 1332 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ | 0.6961 | 0.8501 | 0.8189 | [M:[1.0244, 1.0244, 0.9267, 0.9756, 0.9756, 1.0244, 1.0244], q:[0.5122, 0.4634], qb:[0.5122, 0.5611], phi:[0.4878]] | t^2.78 + t^2.927 + 4*t^3.073 + t^3.22 + t^4.243 + 2*t^4.39 + 4*t^4.537 + 2*t^4.683 + t^4.83 + t^5.56 + t^5.853 - t^6. - t^4.463/y - t^4.463*y | detail | |
| 1335 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}M_{7}$ | 0.7018 | 0.8592 | 0.8168 | [M:[1.0361, 1.0361, 0.8916, 0.9639, 0.9639, 1.0361, 0.9639], q:[0.5181, 0.4458], qb:[0.5181, 0.5903], phi:[0.4819]] | t^2.675 + 3*t^2.892 + 2*t^3.108 + t^3.325 + t^4.121 + 2*t^4.337 + 4*t^4.554 + 2*t^4.771 + t^4.988 + t^5.35 + 2*t^5.566 + 4*t^5.783 + t^6. - t^4.446/y - t^4.446*y | detail | |
| 2025 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ | 0.5502 | 0.6745 | 0.8157 | [X:[1.5729], M:[1.2812, 1.1459, 0.4271, 0.9895, 0.7188, 1.0105], q:[0.3699, 0.3489], qb:[0.6406, 0.9323], phi:[0.4271]] | t^2.156 + t^2.968 + t^3.032 + t^3.374 + 2*t^3.438 + t^3.501 + t^3.844 + t^3.907 + t^4.313 + t^4.719 + t^5.125 + t^5.188 + t^5.594 + t^5.657 - t^6. - t^4.281/y - t^4.281*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 |
|---|---|---|---|---|---|---|---|---|---|
| 535 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.7203 | 0.8807 | 0.8179 | [M:[0.9121, 1.0959, 0.896, 1.0183, 0.7898, 0.9817], q:[0.5256, 0.5623], qb:[0.4561, 0.648], phi:[0.452]] | t^2.369 + t^2.688 + t^2.736 + t^2.945 + t^3.055 + t^3.288 + t^3.521 + t^4.093 + t^4.301 + t^4.411 + t^4.51 + t^4.62 + t^4.668 + t^4.73 + t^4.739 + t^4.877 + t^4.987 + t^5.057 + t^5.106 + t^5.244 + t^5.314 + t^5.376 + t^5.424 + t^5.473 + t^5.657 + t^5.89 + t^5.976 - 3*t^6. - t^4.356/y - t^4.356*y | detail |