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 |
|---|---|---|---|---|---|---|---|---|---|
| 1334 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ | 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]] | [M:[[8, 0], [-2, 2], [-4, -4], [12, -4], [-8, 0], [-12, 4], [-8, 0]], 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 |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$ | ${}$ | -3 | 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. + 2*t^6.007 + t^6.104 + t^6.111 - t^6.208 - t^6.215 + t^6.222 + t^6.326 - t^6.422 - t^6.43 + t^6.437 + t^6.802 + t^6.809 + t^6.816 + 2*t^7.017 + 2*t^7.024 + 2*t^7.031 + t^7.224 + 3*t^7.231 + 3*t^7.239 + t^7.246 + 3*t^7.446 + 2*t^7.454 + t^7.461 + 2*t^7.661 + t^7.668 + t^7.722 - t^7.869 + 2*t^7.876 + t^7.883 + 2*t^7.937 + t^8.091 + 3*t^8.152 + t^8.255 + t^8.306 - t^8.359 + 4*t^8.366 + t^8.456 + t^8.463 + 3*t^8.47 + t^8.477 + t^8.485 - t^8.567 - 4*t^8.574 + 2*t^8.581 + t^8.671 + t^8.678 + 4*t^8.685 + t^8.692 - 2*t^8.782 - 8*t^8.789 + 2*t^8.796 + 2*t^8.885 + 2*t^8.893 + 4*t^8.9 + t^8.907 - 5*t^8.996 - t^4.446/y - t^7.02/y - t^7.235/y + t^7.658/y + t^7.872/y + (2*t^8.363)/y + t^8.57/y + (2*t^8.578)/y + t^8.681/y + (2*t^8.785)/y + (3*t^8.792)/y + (2*t^8.896)/y - t^4.446*y - t^7.02*y - t^7.235*y + t^7.658*y + t^7.872*y + 2*t^8.363*y + t^8.57*y + 2*t^8.578*y + t^8.681*y + 2*t^8.785*y + 3*t^8.792*y + 2*t^8.896*y | t^2.574/(g1^4*g2^4) + (2*t^2.789)/g1^8 + (g1^12*t^2.996)/g2^4 + (g2^4*t^3.004)/g1^12 + (g2^2*t^3.107)/g1^2 + (g2^8*t^3.218)/g1^16 + (g1^17*t^4.228)/g2^9 + t^4.235/(g1^7*g2) + (g2^7*t^4.242)/g1^31 + (g1^13*t^4.443)/g2^5 + (g2^3*t^4.45)/g1^11 + (2*g1^9*t^4.658)/g2 + (g2^7*t^4.665)/g1^15 + g1^5*g2^3*t^4.872 + g1*g2^7*t^5.087 + t^5.148/(g1^8*g2^8) + (2*t^5.363)/(g1^12*g2^4) + (3*t^5.578)/g1^16 + t^5.681/(g1^6*g2^2) + (2*g2^4*t^5.792)/g1^20 + (2*g2^2*t^5.896)/g1^10 - 3*t^6. + (2*g2^8*t^6.007)/g1^24 + (g1^10*t^6.104)/g2^2 + (g2^6*t^6.111)/g1^14 - (g1^20*t^6.208)/g2^4 - (g2^4*t^6.215)/g1^4 + (g2^12*t^6.222)/g1^28 + (g2^10*t^6.326)/g1^18 - g1^16*t^6.422 - (g2^8*t^6.43)/g1^8 + (g2^16*t^6.437)/g1^32 + (g1^13*t^6.802)/g2^13 + t^6.809/(g1^11*g2^5) + (g2^3*t^6.816)/g1^35 + (2*g1^9*t^7.017)/g2^9 + (2*t^7.024)/(g1^15*g2) + (2*g2^7*t^7.031)/g1^39 + (g1^29*t^7.224)/g2^13 + (3*g1^5*t^7.231)/g2^5 + (3*g2^3*t^7.239)/g1^19 + (g2^11*t^7.246)/g1^43 + (3*g1*t^7.446)/g2 + (2*g2^7*t^7.454)/g1^23 + (g2^15*t^7.461)/g1^47 + (2*g2^3*t^7.661)/g1^3 + (g2^11*t^7.668)/g1^27 + t^7.722/(g1^12*g2^12) - (g1^17*t^7.869)/g2 + (2*g2^7*t^7.876)/g1^7 + (g2^15*t^7.883)/g1^31 + (2*t^7.937)/(g1^16*g2^8) + (g2^11*t^8.091)/g1^11 + (3*t^8.152)/(g1^20*g2^4) + t^8.255/(g1^10*g2^6) + (g2^15*t^8.306)/g1^15 - t^8.359/g2^8 + (4*t^8.366)/g1^24 + (g1^34*t^8.456)/g2^18 + (g1^10*t^8.463)/g2^10 + (3*t^8.47)/(g1^14*g2^2) + (g2^6*t^8.477)/g1^38 + (g2^14*t^8.485)/g1^62 - (g1^20*t^8.567)/g2^12 - (4*t^8.574)/(g1^4*g2^4) + (2*g2^4*t^8.581)/g1^28 + (g1^30*t^8.671)/g2^14 + (g1^6*t^8.678)/g2^6 + (4*g2^2*t^8.685)/g1^18 + (g2^10*t^8.692)/g1^42 - (2*g1^16*t^8.782)/g2^8 - (8*t^8.789)/g1^8 + (2*g2^8*t^8.796)/g1^32 + (2*g1^26*t^8.885)/g2^10 + (2*g1^2*t^8.893)/g2^2 + (4*g2^6*t^8.9)/g1^22 + (g2^14*t^8.907)/g1^46 - (5*g1^12*t^8.996)/g2^4 - (g1*t^4.446)/(g2*y) - t^7.02/(g1^3*g2^5*y) - t^7.235/(g1^7*g2*y) + (g1^9*t^7.658)/(g2*y) + (g1^5*g2^3*t^7.872)/y + (2*t^8.363)/(g1^12*g2^4*y) + (g1^8*t^8.57)/(g2^8*y) + (2*t^8.578)/(g1^16*y) + t^8.681/(g1^6*g2^2*y) + (2*g1^4*t^8.785)/(g2^4*y) + (3*g2^4*t^8.792)/(g1^20*y) + (2*g2^2*t^8.896)/(g1^10*y) - (g1*t^4.446*y)/g2 - (t^7.02*y)/(g1^3*g2^5) - (t^7.235*y)/(g1^7*g2) + (g1^9*t^7.658*y)/g2 + g1^5*g2^3*t^7.872*y + (2*t^8.363*y)/(g1^12*g2^4) + (g1^8*t^8.57*y)/g2^8 + (2*t^8.578*y)/g1^16 + (t^8.681*y)/(g1^6*g2^2) + (2*g1^4*t^8.785*y)/g2^4 + (3*g2^4*t^8.792*y)/g1^20 + (2*g2^2*t^8.896*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 |
|---|---|---|---|---|---|---|---|---|
| 2390 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }M_{6}M_{8}$ | 0.7062 | 0.8675 | 0.8141 | [M:[1.0592, 1.0418, 0.8572, 0.9756, 0.9408, 1.0244, 0.9408, 0.9756], q:[0.4948, 0.446], qb:[0.5296, 0.6132], phi:[0.4791]] | t^2.572 + 2*t^2.822 + 2*t^2.927 + t^3.125 + t^3.324 + t^4.113 + t^4.26 + t^4.364 + t^4.406 + t^4.511 + 2*t^4.615 + t^4.761 + t^4.866 + t^5.116 + t^5.143 + 2*t^5.394 + t^5.498 + 2*t^5.645 + t^5.697 + 2*t^5.749 + 2*t^5.854 + 2*t^5.948 - 4*t^6. - t^4.437/y - t^4.437*y | detail | |
| 2389 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6159 | 0.7536 | 0.8172 | [M:[0.8858, 1.045, 1.0243, 0.7959, 1.1142, 1.2041, 1.1142], q:[0.7612, 0.353], qb:[0.4429, 0.5328], phi:[0.4775]] | t^2.388 + t^3.073 + t^3.135 + 2*t^3.343 + t^3.55 + t^3.612 + t^3.82 + t^3.882 + 2*t^4.09 + t^4.36 + t^4.63 + t^4.775 + t^5.522 + t^5.938 - 2*t^6. - t^4.433/y - t^4.433*y | detail | |
| 2388 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ | 0.5703 | 0.7124 | 0.8005 | [X:[1.5726], M:[1.2822, 1.1452, 0.4274, 0.9919, 0.7178, 1.0081, 0.7178], q:[0.367, 0.3508], qb:[0.6411, 0.9315], phi:[0.4274]] | 2*t^2.153 + t^2.976 + t^3.024 + t^3.387 + 2*t^3.436 + t^3.484 + t^3.895 + 3*t^4.307 + t^4.718 + 2*t^5.129 + 2*t^5.178 + t^5.54 + 3*t^5.589 + 2*t^5.637 - 2*t^6. - t^4.282/y - t^4.282*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.455/y - t^4.455*y | detail |