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 |
|---|---|---|---|---|---|---|---|---|---|
| 51490 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{6}$ | 0.6949 | 0.8521 | 0.8155 | [M:[1.0309, 0.9485, 0.9691, 1.0309, 1.0103, 0.9691], q:[0.5154, 0.4537], qb:[0.536, 0.5154], phi:[0.4949]] | [M:[[6], [-10], [-6], [6], [2], [-6]], q:[[3], [-9]], qb:[[7], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$ | ${}M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.846 + 2*t^2.907 + t^2.969 + t^3.031 + t^3.093 + t^3.154 + t^4.207 + 2*t^4.392 + t^4.454 + 3*t^4.577 + 2*t^4.639 + t^4.701 + t^5.691 + t^5.753 + 2*t^5.815 + 3*t^5.876 + 2*t^5.938 - 2*t^6. + t^6.062 + 2*t^6.124 + t^6.309 + t^7.052 + 2*t^7.114 + t^7.176 + t^7.237 + 3*t^7.299 + 3*t^7.361 + 2*t^7.423 + 3*t^7.485 + 4*t^7.546 + 3*t^7.608 + 2*t^7.67 + 2*t^7.732 + 2*t^7.793 + t^7.855 + t^8.413 + t^8.537 + 3*t^8.598 + t^8.66 + 2*t^8.722 + 6*t^8.784 + t^8.846 - 4*t^8.907 + t^8.969 - t^4.485/y - t^7.33/y + t^7.639/y + (2*t^8.753)/y + (2*t^8.815)/y + (3*t^8.876)/y + (3*t^8.938)/y - t^4.485*y - t^7.33*y + t^7.639*y + 2*t^8.753*y + 2*t^8.815*y + 3*t^8.876*y + 3*t^8.938*y | t^2.846/g1^10 + (2*t^2.907)/g1^6 + t^2.969/g1^2 + g1^2*t^3.031 + g1^6*t^3.093 + g1^10*t^3.154 + t^4.207/g1^19 + (2*t^4.392)/g1^7 + t^4.454/g1^3 + 3*g1^5*t^4.577 + 2*g1^9*t^4.639 + g1^13*t^4.701 + t^5.691/g1^20 + t^5.753/g1^16 + (2*t^5.815)/g1^12 + (3*t^5.876)/g1^8 + (2*t^5.938)/g1^4 - 2*t^6. + g1^4*t^6.062 + 2*g1^8*t^6.124 + g1^20*t^6.309 + t^7.052/g1^29 + (2*t^7.114)/g1^25 + t^7.176/g1^21 + t^7.237/g1^17 + (3*t^7.299)/g1^13 + (3*t^7.361)/g1^9 + (2*t^7.423)/g1^5 + (3*t^7.485)/g1 + 4*g1^3*t^7.546 + 3*g1^7*t^7.608 + 2*g1^11*t^7.67 + 2*g1^15*t^7.732 + 2*g1^19*t^7.793 + g1^23*t^7.855 + t^8.413/g1^38 + t^8.537/g1^30 + (3*t^8.598)/g1^26 + t^8.66/g1^22 + (2*t^8.722)/g1^18 + (6*t^8.784)/g1^14 + t^8.846/g1^10 - (4*t^8.907)/g1^6 + t^8.969/g1^2 - t^4.485/(g1*y) - t^7.33/(g1^11*y) + (g1^9*t^7.639)/y + (2*t^8.753)/(g1^16*y) + (2*t^8.815)/(g1^12*y) + (3*t^8.876)/(g1^8*y) + (3*t^8.938)/(g1^4*y) - (t^4.485*y)/g1 - (t^7.33*y)/g1^11 + g1^9*t^7.639*y + (2*t^8.753*y)/g1^16 + (2*t^8.815*y)/g1^12 + (3*t^8.876*y)/g1^8 + (3*t^8.938*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56329 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{6}$ + ${ }M_{1}M_{7}$ | 0.6983 | 0.8586 | 0.8133 | [M:[1.0432, 0.928, 0.9568, 1.0432, 1.0144, 0.9568, 0.9568], q:[0.5216, 0.4352], qb:[0.5504, 0.5216], phi:[0.4928]] | t^2.784 + 3*t^2.87 + t^2.957 + t^3.043 + t^3.216 + t^4.09 + 2*t^4.349 + t^4.435 + 3*t^4.608 + 2*t^4.694 + t^4.781 + t^5.568 + 2*t^5.654 + 5*t^5.741 + 4*t^5.827 + 2*t^5.914 - 4*t^6. - t^4.478/y - t^4.478*y | detail | {a: 4364619/6250000, c: 2683247/3125000, M1: 652/625, M2: 116/125, M3: 598/625, M4: 652/625, M5: 634/625, M6: 598/625, M7: 598/625, q1: 326/625, q2: 272/625, qb1: 344/625, qb2: 326/625, phi1: 308/625} |
| 56326 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6926 | 0.8483 | 0.8165 | [M:[1.0181, 0.9698, 0.9819, 1.0181, 1.006, 0.9819, 1.0181], q:[0.5091, 0.4728], qb:[0.5212, 0.5091], phi:[0.497]] | t^2.909 + t^2.946 + t^2.982 + t^3.018 + 2*t^3.054 + t^3.091 + t^4.328 + 2*t^4.437 + t^4.473 + 3*t^4.545 + 2*t^4.582 + t^4.618 + t^5.819 + 2*t^5.927 + 2*t^5.964 - 2*t^6. - t^4.491/y - t^4.491*y | detail | |
| 56328 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6959 | 0.854 | 0.8149 | [M:[1.0351, 0.9415, 0.9649, 1.0351, 1.0117, 0.9649, 0.9883], q:[0.5175, 0.4474], qb:[0.5409, 0.5175], phi:[0.4942]] | t^2.825 + 2*t^2.895 + 2*t^2.965 + t^3.105 + t^3.175 + t^4.167 + 2*t^4.377 + t^4.447 + 3*t^4.588 + 2*t^4.658 + t^4.728 + t^5.649 + t^5.719 + 3*t^5.789 + 4*t^5.86 + 2*t^5.93 - 3*t^6. - t^4.482/y - t^4.482*y | detail | |
| 56327 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.694 | 0.8505 | 0.816 | [M:[1.0267, 0.9556, 0.9733, 1.0267, 1.0089, 0.9733, 1.0089], q:[0.5133, 0.46], qb:[0.5311, 0.5133], phi:[0.4956]] | t^2.867 + 2*t^2.92 + 2*t^3.027 + t^3.08 + t^3.133 + t^4.247 + 2*t^4.407 + t^4.46 + 3*t^4.567 + 2*t^4.62 + t^4.673 + t^5.733 + t^5.787 + t^5.84 + 2*t^5.893 + 3*t^5.947 - 3*t^6. - t^4.487/y - t^4.487*y | detail | |
| 56330 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7012 | 0.8642 | 0.8113 | [M:[1.0503, 0.9161, 0.9497, 1.0503, 1.0168, 0.9497, 0.9161], q:[0.5252, 0.4245], qb:[0.5587, 0.5252], phi:[0.4916]] | 2*t^2.748 + 2*t^2.849 + t^2.95 + t^3.05 + t^3.151 + t^4.022 + 2*t^4.324 + t^4.425 + 3*t^4.626 + 2*t^4.726 + t^4.827 + 3*t^5.497 + 3*t^5.597 + 3*t^5.698 + 4*t^5.799 + 3*t^5.899 - 3*t^6. - t^4.475/y - t^4.475*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46838 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6951 | 0.8535 | 0.8144 | [M:[1.0236, 0.9385, 0.9764, 1.0457, 1.0079, 0.9543], q:[0.5229, 0.4535], qb:[0.5386, 0.5008], phi:[0.4961]] | t^2.816 + t^2.863 + t^2.929 + t^2.976 + t^3.024 + t^3.071 + t^3.118 + t^4.209 + t^4.351 + t^4.417 + t^4.465 + t^4.493 + t^4.559 + t^4.606 + t^4.625 + t^4.673 + t^4.72 + t^5.631 + t^5.678 + t^5.726 + t^5.792 + 2*t^5.839 + t^5.886 + t^5.906 + t^5.934 + t^5.953 + t^5.981 - 2*t^6. - t^4.488/y - t^4.488*y | detail |