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 |
|---|---|---|---|---|---|---|---|---|---|
| 1029 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ | 0.6337 | 0.7854 | 0.8068 | [M:[1.1789, 1.214, 0.7509, 0.8211, 0.8211, 0.7509], q:[0.8035, 0.4456], qb:[0.3754, 0.8035], phi:[0.393]] | [M:[[-6], [4], [-14], [6], [6], [-14]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 | {a: 68629/108300, c: 21266/27075, M1: 112/95, M2: 346/285, M3: 214/285, M4: 78/95, M5: 78/95, M6: 214/285, q1: 229/285, q2: 127/285, qb1: 107/285, qb2: 229/285, phi1: 112/285} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}\tilde{q}_{2}^{2}$ | -1 | 2*t^2.253 + 2*t^2.463 + t^3.432 + t^3.537 + 2*t^3.642 + t^3.853 + 3*t^4.505 + 4*t^4.716 + t^4.821 + 3*t^4.926 + 2*t^5.684 + t^5.789 + 4*t^5.895 - t^6. + 4*t^6.105 - t^6.211 + 2*t^6.316 + 4*t^6.758 + t^6.863 + 6*t^6.968 + 2*t^7.074 + 4*t^7.179 + t^7.284 + 2*t^7.389 + t^7.495 + t^7.705 + 3*t^7.937 + t^8.042 + 6*t^8.147 - 4*t^8.253 + 6*t^8.358 - 5*t^8.463 + 4*t^8.568 - 2*t^8.674 + 3*t^8.779 - t^4.179/y - (2*t^6.432)/y - t^6.642/y + t^7.505/y + (5*t^7.716)/y + (3*t^7.926)/y - t^8.684/y + (2*t^8.789)/y + (4*t^8.895)/y - t^4.179*y - 2*t^6.432*y - t^6.642*y + t^7.505*y + 5*t^7.716*y + 3*t^7.926*y - t^8.684*y + 2*t^8.789*y + 4*t^8.895*y | (2*t^2.253)/g1^14 + 2*g1^6*t^2.463 + t^3.432/g1^16 + t^3.537/g1^6 + 2*g1^4*t^3.642 + g1^24*t^3.853 + (3*t^4.505)/g1^28 + (4*t^4.716)/g1^8 + g1^2*t^4.821 + 3*g1^12*t^4.926 + (2*t^5.684)/g1^30 + t^5.789/g1^20 + (4*t^5.895)/g1^10 - t^6. + 4*g1^10*t^6.105 - g1^20*t^6.211 + 2*g1^30*t^6.316 + (4*t^6.758)/g1^42 + t^6.863/g1^32 + (6*t^6.968)/g1^22 + (2*t^7.074)/g1^12 + (4*t^7.179)/g1^2 + g1^8*t^7.284 + 2*g1^18*t^7.389 + g1^28*t^7.495 + g1^48*t^7.705 + (3*t^7.937)/g1^44 + t^8.042/g1^34 + (6*t^8.147)/g1^24 - (4*t^8.253)/g1^14 + (6*t^8.358)/g1^4 - 5*g1^6*t^8.463 + 4*g1^16*t^8.568 - 2*g1^26*t^8.674 + 3*g1^36*t^8.779 - t^4.179/(g1^2*y) - (2*t^6.432)/(g1^16*y) - (g1^4*t^6.642)/y + t^7.505/(g1^28*y) + (5*t^7.716)/(g1^8*y) + (3*g1^12*t^7.926)/y - t^8.684/(g1^30*y) + (2*t^8.789)/(g1^20*y) + (4*t^8.895)/(g1^10*y) - (t^4.179*y)/g1^2 - (2*t^6.432*y)/g1^16 - g1^4*t^6.642*y + (t^7.505*y)/g1^28 + (5*t^7.716*y)/g1^8 + 3*g1^12*t^7.926*y - (t^8.684*y)/g1^30 + (2*t^8.789*y)/g1^20 + (4*t^8.895*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 |
|---|---|---|---|---|---|---|---|---|
| 1606 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ | 0.6187 | 0.7598 | 0.8142 | [M:[1.1749, 1.2167, 0.7414, 0.8251, 0.8251, 0.7414, 1.1749], q:[0.8042, 0.4544], qb:[0.3707, 0.8042], phi:[0.3916]] | 2*t^2.224 + t^2.475 + t^3.399 + 2*t^3.525 + 2*t^3.65 + t^3.901 + 3*t^4.449 + 2*t^4.7 + t^4.825 + t^4.951 + 2*t^5.623 + 3*t^5.749 + 3*t^5.874 - t^6. - t^4.175/y - t^4.175*y | detail | |
| 2118 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6541 | 0.825 | 0.7928 | [M:[1.1748, 1.2168, 0.7412, 0.8252, 0.8252, 0.7412, 0.6992], q:[0.8042, 0.4546], qb:[0.3706, 0.8042], phi:[0.3916]] | t^2.098 + 2*t^2.224 + 2*t^2.476 + t^3.398 + t^3.524 + 2*t^3.65 + t^4.195 + 2*t^4.321 + 3*t^4.447 + 2*t^4.573 + 4*t^4.699 + t^4.825 + 3*t^4.951 + t^5.496 + 3*t^5.622 + 3*t^5.748 + 4*t^5.874 - t^6. - t^4.175/y - t^4.175*y | detail | |
| 1607 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6475 | 0.8091 | 0.8002 | [M:[1.1899, 1.2067, 0.7764, 0.8101, 0.8101, 0.7764, 0.827], q:[0.8017, 0.4219], qb:[0.3882, 0.8017], phi:[0.3966]] | 2*t^2.329 + 2*t^2.43 + t^2.481 + t^3.57 + 2*t^3.62 + t^3.721 + 3*t^4.658 + 4*t^4.76 + 3*t^4.81 + 3*t^4.861 + 2*t^4.911 + t^4.962 + t^5.899 + 2*t^5.949 - t^6. - t^4.19/y - t^4.19*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 |
|---|---|---|---|---|---|---|---|---|---|
| 645 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ | 0.7022 | 0.8636 | 0.8131 | [M:[0.9986, 1.1618, 0.9336, 1.0014, 0.7428, 0.6749], q:[0.7905, 0.5347], qb:[0.4668, 0.5318], phi:[0.4191]] | t^2.025 + t^2.228 + t^2.801 + t^2.996 + t^3.004 + t^3.486 + t^3.967 + t^4.049 + t^4.058 + 2*t^4.253 + t^4.262 + t^4.448 + 2*t^4.457 + t^4.465 + t^4.825 + t^5.02 + 2*t^5.029 + t^5.224 + t^5.233 + t^5.51 + t^5.601 + t^5.714 + t^5.991 - 2*t^6. - t^4.257/y - t^4.257*y | detail |