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 |
|---|---|---|---|---|---|---|---|---|---|
| 4355 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}M_{7}$ | 0.7026 | 0.874 | 0.8039 | [M:[0.6867, 1.1429, 1.0276, 0.9724, 0.7419, 1.0, 0.8571, 0.9724], q:[0.6704, 0.6429], qb:[0.3571, 0.6153], phi:[0.4286]] | [M:[[1], [0], [-1], [1], [-1], [0], [0], [1]], q:[[-1], [0]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$ | ${}$ | -2 | t^2.06 + t^2.226 + t^2.571 + 2*t^2.917 + t^3. + t^3.429 + t^3.857 + t^4.12 + t^4.203 + 2*t^4.286 + t^4.368 + t^4.451 + t^4.632 + t^4.797 + 3*t^4.977 + t^5.06 + 4*t^5.143 + t^5.226 + t^5.308 + 3*t^5.489 + t^5.571 + t^5.654 + 2*t^5.834 + t^5.917 - 2*t^6. - t^6.083 - t^6.166 + t^6.18 + t^6.263 + 3*t^6.346 + 3*t^6.429 + t^6.511 + t^6.594 + t^6.677 + t^6.692 + 2*t^6.774 + t^6.857 + t^7.023 + 3*t^7.037 + 2*t^7.12 + 5*t^7.203 + t^7.286 + 3*t^7.368 + t^7.534 + 4*t^7.549 + t^7.632 + 6*t^7.714 + t^7.797 + 2*t^7.88 + 4*t^7.895 + 2*t^7.977 + 3*t^8.06 - 2*t^8.226 + t^8.24 + t^8.323 - t^8.391 + 5*t^8.406 + 2*t^8.489 - t^8.571 + 3*t^8.752 + t^8.82 + 2*t^8.834 + t^8.902 - 5*t^8.917 - t^4.286/y - t^6.346/y - t^6.511/y - t^6.857/y - t^7.203/y + t^7.286/y + t^7.368/y + t^7.632/y + t^7.714/y + t^7.797/y + (2*t^7.977)/y + (2*t^8.06)/y + (2*t^8.143)/y + (2*t^8.226)/y - t^8.406/y + (3*t^8.489)/y + t^8.654/y - t^8.737/y + t^8.834/y + (2*t^8.917)/y - t^4.286*y - t^6.346*y - t^6.511*y - t^6.857*y - t^7.203*y + t^7.286*y + t^7.368*y + t^7.632*y + t^7.714*y + t^7.797*y + 2*t^7.977*y + 2*t^8.06*y + 2*t^8.143*y + 2*t^8.226*y - t^8.406*y + 3*t^8.489*y + t^8.654*y - t^8.737*y + t^8.834*y + 2*t^8.917*y | g1*t^2.06 + t^2.226/g1 + t^2.571 + 2*g1*t^2.917 + t^3. + t^3.429 + t^3.857 + g1^2*t^4.12 + g1*t^4.203 + 2*t^4.286 + t^4.368/g1 + t^4.451/g1^2 + g1*t^4.632 + t^4.797/g1 + 3*g1^2*t^4.977 + g1*t^5.06 + 4*t^5.143 + t^5.226/g1 + t^5.308/g1^2 + 3*g1*t^5.489 + t^5.571 + t^5.654/g1 + 2*g1^2*t^5.834 + g1*t^5.917 - 2*t^6. - t^6.083/g1 - t^6.166/g1^2 + g1^3*t^6.18 + g1^2*t^6.263 + 3*g1*t^6.346 + 3*t^6.429 + t^6.511/g1 + t^6.594/g1^2 + t^6.677/g1^3 + g1^2*t^6.692 + 2*g1*t^6.774 + t^6.857 + t^7.023/g1^2 + 3*g1^3*t^7.037 + 2*g1^2*t^7.12 + 5*g1*t^7.203 + t^7.286 + (3*t^7.368)/g1 + t^7.534/g1^3 + 4*g1^2*t^7.549 + g1*t^7.632 + 6*t^7.714 + t^7.797/g1 + (2*t^7.88)/g1^2 + 4*g1^3*t^7.895 + 2*g1^2*t^7.977 + 3*g1*t^8.06 - (2*t^8.226)/g1 + g1^4*t^8.24 + g1^3*t^8.323 - t^8.391/g1^3 + 5*g1^2*t^8.406 + 2*g1*t^8.489 - t^8.571 + 3*g1^3*t^8.752 + t^8.82/g1^3 + 2*g1^2*t^8.834 + t^8.902/g1^4 - 5*g1*t^8.917 - t^4.286/y - (g1*t^6.346)/y - t^6.511/(g1*y) - t^6.857/y - (g1*t^7.203)/y + t^7.286/y + t^7.368/(g1*y) + (g1*t^7.632)/y + t^7.714/y + t^7.797/(g1*y) + (2*g1^2*t^7.977)/y + (2*g1*t^8.06)/y + (2*t^8.143)/y + (2*t^8.226)/(g1*y) - (g1^2*t^8.406)/y + (3*g1*t^8.489)/y + t^8.654/(g1*y) - t^8.737/(g1^2*y) + (g1^2*t^8.834)/y + (2*g1*t^8.917)/y - t^4.286*y - g1*t^6.346*y - (t^6.511*y)/g1 - t^6.857*y - g1*t^7.203*y + t^7.286*y + (t^7.368*y)/g1 + g1*t^7.632*y + t^7.714*y + (t^7.797*y)/g1 + 2*g1^2*t^7.977*y + 2*g1*t^8.06*y + 2*t^8.143*y + (2*t^8.226*y)/g1 - g1^2*t^8.406*y + 3*g1*t^8.489*y + (t^8.654*y)/g1 - (t^8.737*y)/g1^2 + g1^2*t^8.834*y + 2*g1*t^8.917*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 |
|---|---|---|---|---|---|---|---|---|
| 5809 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}M_{9}$ | 0.6819 | 0.8337 | 0.8179 | [M:[0.6905, 1.1429, 1.0238, 0.9762, 0.7381, 1.0, 0.8571, 0.9762, 1.3095], q:[0.6667, 0.6429], qb:[0.3571, 0.619], phi:[0.4286]] | t^2.214 + t^2.571 + 2*t^2.929 + t^3. + t^3.429 + t^3.857 + t^3.929 + t^4.214 + t^4.286 + t^4.357 + t^4.429 + t^4.786 + t^5. + 4*t^5.143 + t^5.214 + t^5.286 + 2*t^5.5 + t^5.571 + t^5.643 + 2*t^5.857 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 7485/10976, c: 9151/10976, M1: 29/42, M2: 8/7, M3: 43/42, M4: 41/42, M5: 31/42, M6: 1, M7: 6/7, M8: 41/42, M9: 55/42, q1: 2/3, q2: 9/14, qb1: 5/14, qb2: 13/21, phi1: 3/7} |
| 5815 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}M_{7}$ + ${ }M_{2}M_{9}$ | 0.7152 | 0.8955 | 0.7987 | [M:[0.6867, 1.1429, 1.0276, 0.9724, 0.7419, 1.0, 0.8571, 0.9724, 0.8571], q:[0.6704, 0.6429], qb:[0.3571, 0.6153], phi:[0.4286]] | t^2.06 + t^2.226 + 2*t^2.571 + 2*t^2.917 + t^3. + t^3.857 + t^4.12 + t^4.203 + 2*t^4.286 + t^4.368 + t^4.451 + 2*t^4.632 + 2*t^4.797 + 3*t^4.977 + t^5.06 + 6*t^5.143 + t^5.226 + t^5.308 + 4*t^5.489 + 2*t^5.571 + 2*t^5.834 + t^5.917 - 3*t^6. - t^4.286/y - t^4.286*y | detail | |
| 5813 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}M_{7}$ + ${ }M_{4}M_{9}$ | 0.7013 | 0.871 | 0.8052 | [M:[0.7143, 1.1429, 1.0, 1.0, 0.7143, 1.0, 0.8571, 1.0, 1.0], q:[0.6429, 0.6429], qb:[0.3571, 0.6429], phi:[0.4286]] | 2*t^2.143 + t^2.571 + 3*t^3. + t^3.429 + t^3.857 + 6*t^4.286 + 2*t^4.714 + 10*t^5.143 + 5*t^5.571 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 3849/5488, c: 1195/1372, M1: 5/7, M2: 8/7, M3: 1, M4: 1, M5: 5/7, M6: 1, M7: 6/7, M8: 1, M9: 1, q1: 9/14, q2: 9/14, qb1: 5/14, qb2: 9/14, phi1: 3/7} |
| 5807 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}M_{7}$ + ${ }M_{4}^{2}$ | 0.7013 | 0.871 | 0.8052 | [M:[0.7143, 1.1429, 1.0, 1.0, 0.7143, 1.0, 0.8571, 1.0], q:[0.6429, 0.6429], qb:[0.3571, 0.6429], phi:[0.4286]] | 2*t^2.143 + t^2.571 + 3*t^3. + t^3.429 + t^3.857 + 6*t^4.286 + 2*t^4.714 + 10*t^5.143 + 5*t^5.571 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 3849/5488, c: 1195/1372, M1: 5/7, M2: 8/7, M3: 1, M4: 1, M5: 5/7, M6: 1, M7: 6/7, M8: 1, q1: 9/14, q2: 9/14, qb1: 5/14, qb2: 9/14, phi1: 3/7} |
| 5810 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{9}$ | 0.6835 | 0.8403 | 0.8134 | [M:[0.6742, 1.1429, 1.0401, 0.9599, 0.7544, 1.0, 0.8571, 0.9599, 1.2456], q:[0.6829, 0.6429], qb:[0.3571, 0.6028], phi:[0.4286]] | t^2.023 + t^2.571 + 2*t^2.88 + t^3. + t^3.429 + t^3.737 + t^3.857 + t^4.045 + t^4.166 + t^4.286 + t^4.406 + t^4.594 + 3*t^4.902 + t^5.023 + 2*t^5.143 + t^5.383 + 3*t^5.451 + t^5.571 + 3*t^5.76 + t^5.88 - 2*t^6. - t^4.286/y - t^4.286*y | detail | |
| 5812 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}M_{7}$ + ${ }M_{7}M_{9}$ | 0.6901 | 0.8525 | 0.8095 | [M:[0.6867, 1.1429, 1.0276, 0.9724, 0.7419, 1.0, 0.8571, 0.9724, 1.1429], q:[0.6704, 0.6429], qb:[0.3571, 0.6153], phi:[0.4286]] | t^2.06 + t^2.226 + 2*t^2.917 + t^3. + 2*t^3.429 + t^3.857 + t^4.12 + t^4.203 + 2*t^4.286 + t^4.368 + t^4.451 + 3*t^4.977 + t^5.06 + 3*t^5.143 + t^5.226 + t^5.308 + 2*t^5.489 + 2*t^5.654 + 2*t^5.834 + t^5.917 - 3*t^6. - t^4.286/y - t^4.286*y | detail | |
| 5801 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}M_{7}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.7229 | 0.9121 | 0.7925 | [M:[0.6867, 1.1429, 1.0276, 0.9724, 0.7419, 1.0, 0.8571, 0.9724, 0.7143], q:[0.6704, 0.6429], qb:[0.3571, 0.6153], phi:[0.4286]] | t^2.06 + t^2.143 + t^2.226 + t^2.571 + 2*t^2.917 + t^3. + t^3.429 + t^4.12 + 2*t^4.203 + 3*t^4.286 + 2*t^4.368 + t^4.451 + t^4.632 + t^4.714 + t^4.797 + 3*t^4.977 + 3*t^5.06 + 5*t^5.143 + t^5.226 + t^5.308 + 3*t^5.489 + 2*t^5.571 + t^5.654 + 2*t^5.834 - 2*t^6. - t^4.286/y - t^4.286*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2358 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ | 0.7345 | 0.915 | 0.8027 | [M:[0.8326, 1.0699, 1.0276, 0.9724, 0.8878, 1.0, 0.6748, 0.9724], q:[0.5975, 0.5699], qb:[0.4301, 0.5423], phi:[0.465]] | t^2.024 + t^2.498 + t^2.663 + 2*t^2.917 + t^3. + t^3.21 + t^3.419 + t^4.049 + t^4.312 + t^4.395 + t^4.478 + t^4.522 + t^4.649 + t^4.688 + t^4.732 + 2*t^4.815 + t^4.897 + 2*t^4.942 + t^4.98 + t^4.996 + t^5.024 + t^5.161 + t^5.234 + t^5.327 + 2*t^5.415 + t^5.444 + t^5.581 + t^5.708 + 2*t^5.834 + t^5.873 + t^5.917 - 3*t^6. - t^4.395/y - t^4.395*y | detail |