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 |
|---|---|---|---|---|---|---|---|---|---|
| 1586 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6494 | 0.833 | 0.7796 | [M:[1.2248, 1.1124, 0.7752, 0.8876, 0.7248, 1.1628, 0.6744], q:[0.75, 0.4128], qb:[0.3624, 0.4748], phi:[0.5]] | [M:[[2], [1], [-2], [-1], [2], [-3], [6]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{4}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{6}M_{7}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0 | t^2.023 + t^2.174 + t^2.326 + t^2.663 + t^3. + t^3.337 + 2*t^3.488 + 2*t^3.674 + t^4.012 + t^4.046 + t^4.163 + t^4.198 + 3*t^4.349 + t^4.5 + t^4.651 + t^4.686 + t^4.837 + t^4.988 + t^5.023 + t^5.174 + 2*t^5.326 + t^5.36 + 3*t^5.512 + 3*t^5.663 + 2*t^5.698 + t^5.814 + t^5.849 + t^6.035 + t^6.07 + t^6.151 + t^6.186 + t^6.221 + 2*t^6.337 + 3*t^6.372 + t^6.488 + 3*t^6.523 + 4*t^6.674 + t^6.709 + 2*t^6.826 + t^6.86 + 3*t^6.977 + 4*t^7.012 + t^7.046 + 2*t^7.163 + t^7.198 - t^7.314 + 5*t^7.349 + t^7.384 + t^7.5 + 3*t^7.535 + t^7.651 + 5*t^7.686 + 2*t^7.721 + 4*t^7.837 + t^7.872 + t^7.988 + 3*t^8.023 + t^8.058 + t^8.093 + t^8.14 - t^8.174 + t^8.209 + t^8.244 + t^8.326 + 3*t^8.36 + 3*t^8.395 + 2*t^8.512 + 3*t^8.546 - t^8.663 + 7*t^8.698 + t^8.732 + t^8.814 + 3*t^8.849 + t^8.884 - t^4.5/y - t^6.523/y - t^6.674/y + t^7.012/y + t^7.198/y + t^7.349/y + t^7.5/y + t^7.686/y + t^7.837/y + t^8.023/y + t^8.174/y + (2*t^8.326)/y + t^8.36/y + t^8.477/y + (3*t^8.512)/y - t^8.546/y + (4*t^8.663)/y + t^8.698/y + (2*t^8.814)/y + t^8.849/y - t^4.5*y - t^6.523*y - t^6.674*y + t^7.012*y + t^7.198*y + t^7.349*y + t^7.5*y + t^7.686*y + t^7.837*y + t^8.023*y + t^8.174*y + 2*t^8.326*y + t^8.36*y + t^8.477*y + 3*t^8.512*y - t^8.546*y + 4*t^8.663*y + t^8.698*y + 2*t^8.814*y + t^8.849*y | g1^6*t^2.023 + g1^2*t^2.174 + t^2.326/g1^2 + t^2.663/g1 + t^3. + g1*t^3.337 + (2*t^3.488)/g1^3 + 2*g1^2*t^3.674 + g1^3*t^4.012 + g1^12*t^4.046 + t^4.163/g1 + g1^8*t^4.198 + 3*g1^4*t^4.349 + t^4.5 + t^4.651/g1^4 + g1^5*t^4.686 + g1*t^4.837 + t^4.988/g1^3 + g1^6*t^5.023 + g1^2*t^5.174 + (2*t^5.326)/g1^2 + g1^7*t^5.36 + 3*g1^3*t^5.512 + (3*t^5.663)/g1 + 2*g1^8*t^5.698 + t^5.814/g1^5 + g1^4*t^5.849 + g1^9*t^6.035 + g1^18*t^6.07 + t^6.151/g1^4 + g1^5*t^6.186 + g1^14*t^6.221 + 2*g1*t^6.337 + 3*g1^10*t^6.372 + t^6.488/g1^3 + 3*g1^6*t^6.523 + 4*g1^2*t^6.674 + g1^11*t^6.709 + (2*t^6.826)/g1^2 + g1^7*t^6.86 + (3*t^6.977)/g1^6 + 4*g1^3*t^7.012 + g1^12*t^7.046 + (2*t^7.163)/g1 + g1^8*t^7.198 - t^7.314/g1^5 + 5*g1^4*t^7.349 + g1^13*t^7.384 + t^7.5 + 3*g1^9*t^7.535 + t^7.651/g1^4 + 5*g1^5*t^7.686 + 2*g1^14*t^7.721 + 4*g1*t^7.837 + g1^10*t^7.872 + t^7.988/g1^3 + 3*g1^6*t^8.023 + g1^15*t^8.058 + g1^24*t^8.093 + t^8.14/g1^7 - g1^2*t^8.174 + g1^11*t^8.209 + g1^20*t^8.244 + t^8.326/g1^2 + 3*g1^7*t^8.36 + 3*g1^16*t^8.395 + 2*g1^3*t^8.512 + 3*g1^12*t^8.546 - t^8.663/g1 + 7*g1^8*t^8.698 + g1^17*t^8.732 + t^8.814/g1^5 + 3*g1^4*t^8.849 + g1^13*t^8.884 - t^4.5/y - (g1^6*t^6.523)/y - (g1^2*t^6.674)/y + (g1^3*t^7.012)/y + (g1^8*t^7.198)/y + (g1^4*t^7.349)/y + t^7.5/y + (g1^5*t^7.686)/y + (g1*t^7.837)/y + (g1^6*t^8.023)/y + (g1^2*t^8.174)/y + (2*t^8.326)/(g1^2*y) + (g1^7*t^8.36)/y + t^8.477/(g1^6*y) + (3*g1^3*t^8.512)/y - (g1^12*t^8.546)/y + (4*t^8.663)/(g1*y) + (g1^8*t^8.698)/y + (2*t^8.814)/(g1^5*y) + (g1^4*t^8.849)/y - t^4.5*y - g1^6*t^6.523*y - g1^2*t^6.674*y + g1^3*t^7.012*y + g1^8*t^7.198*y + g1^4*t^7.349*y + t^7.5*y + g1^5*t^7.686*y + g1*t^7.837*y + g1^6*t^8.023*y + g1^2*t^8.174*y + (2*t^8.326*y)/g1^2 + g1^7*t^8.36*y + (t^8.477*y)/g1^6 + 3*g1^3*t^8.512*y - g1^12*t^8.546*y + (4*t^8.663*y)/g1 + g1^8*t^8.698*y + (2*t^8.814*y)/g1^5 + g1^4*t^8.849*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 |
|---|---|---|---|---|---|---|---|---|
| 3972 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6292 | 0.8033 | 0.7833 | [M:[1.2857, 1.1429, 0.7143, 0.8571, 0.7857, 1.0714, 0.8571], q:[0.75, 0.3214], qb:[0.3929, 0.5357], phi:[0.5]] | t^2.143 + t^2.357 + 2*t^2.571 + t^3. + 2*t^3.214 + t^3.429 + 2*t^3.857 + t^4.071 + 2*t^4.286 + t^4.5 + 4*t^4.714 + 2*t^4.929 + 4*t^5.143 + 2*t^5.357 + 4*t^5.571 + 4*t^5.786 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 7893/12544, c: 10077/12544, M1: 9/7, M2: 8/7, M3: 5/7, M4: 6/7, M5: 11/14, M6: 15/14, M7: 6/7, q1: 3/4, q2: 9/28, qb1: 11/28, qb2: 15/28, phi1: 1/2} |
| 3973 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.6596 | 0.8498 | 0.7762 | [M:[1.2284, 1.1142, 0.7716, 0.8858, 0.7284, 1.1574, 0.6852, 0.8858], q:[0.75, 0.4074], qb:[0.3642, 0.4784], phi:[0.5]] | t^2.056 + t^2.185 + t^2.315 + 2*t^2.657 + t^3. + 2*t^3.472 + 2*t^3.685 + t^4.028 + t^4.111 + t^4.157 + t^4.241 + 3*t^4.37 + t^4.5 + t^4.63 + 2*t^4.713 + 2*t^4.843 + 2*t^4.972 + t^5.056 + t^5.185 + 4*t^5.315 + 2*t^5.528 + 3*t^5.657 + 2*t^5.741 + t^5.787 + t^5.87 - t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1016 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6286 | 0.7919 | 0.7937 | [M:[1.2268, 1.1134, 0.7732, 0.8866, 0.7268, 1.1599], q:[0.75, 0.4099], qb:[0.3634, 0.4768], phi:[0.5]] | t^2.18 + t^2.32 + t^2.66 + t^3. + t^3.34 + 2*t^3.48 + 2*t^3.68 + t^3.959 + t^4.02 + t^4.16 + 2*t^4.361 + t^4.5 + t^4.639 + t^4.84 + t^4.98 + t^5.18 + 2*t^5.32 + t^5.52 + 3*t^5.66 + t^5.799 + t^5.861 - t^4.5/y - t^4.5*y | detail |