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 |
|---|---|---|---|---|---|---|---|---|---|
| 1596 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6555 | 0.806 | 0.8132 | [X:[1.3577], M:[1.0217, 1.0949, 1.168, 0.9783, 0.6423, 0.832, 0.7588], q:[0.7737, 0.3943], qb:[0.584, 0.4377], phi:[0.4526]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [-32]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{7}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.277 + t^2.496 + t^2.935 + t^3.065 + t^3.285 + t^3.504 + t^3.634 + t^3.854 + t^3.984 + t^4.073 + t^4.293 + t^4.423 + t^4.553 + t^4.772 + t^4.862 + t^4.992 + t^5.211 + t^5.342 + t^5.561 + 2*t^5.781 + t^5.911 - t^6. + 2*t^6.13 + t^6.26 + 2*t^6.35 + t^6.48 + 2*t^6.569 + 2*t^6.699 + t^6.83 + 2*t^6.919 + 2*t^7.049 + 2*t^7.138 + 2*t^7.268 + t^7.358 + 3*t^7.488 + t^7.577 + 2*t^7.618 + t^7.707 + 2*t^7.838 + t^7.927 + t^7.968 + 3*t^8.057 + t^8.187 + 3*t^8.407 - t^8.496 + t^8.537 + 2*t^8.626 - t^8.715 + t^8.756 + 3*t^8.846 - 2*t^8.935 + 3*t^8.976 - t^4.358/y - t^6.634/y + t^7.772/y + t^8.081/y + t^8.211/y + t^8.342/y + t^8.431/y + (2*t^8.561)/y + (2*t^8.781)/y - t^4.358*y - t^6.634*y + t^7.772*y + t^8.081*y + t^8.211*y + t^8.342*y + t^8.431*y + 2*t^8.561*y + 2*t^8.781*y | t^2.277/g1^32 + t^2.496/g1^14 + g1^22*t^2.935 + t^3.065/g1^22 + t^3.285/g1^4 + g1^14*t^3.504 + t^3.634/g1^30 + t^3.854/g1^12 + t^3.984/g1^56 + g1^6*t^4.073 + g1^24*t^4.293 + t^4.423/g1^20 + t^4.553/g1^64 + t^4.772/g1^46 + g1^16*t^4.862 + t^4.992/g1^28 + t^5.211/g1^10 + t^5.342/g1^54 + t^5.561/g1^36 + (2*t^5.781)/g1^18 + t^5.911/g1^62 - t^6. + (2*t^6.13)/g1^44 + t^6.26/g1^88 + (2*t^6.35)/g1^26 + t^6.48/g1^70 + (2*t^6.569)/g1^8 + (2*t^6.699)/g1^52 + t^6.83/g1^96 + (2*t^6.919)/g1^34 + (2*t^7.049)/g1^78 + (2*t^7.138)/g1^16 + (2*t^7.268)/g1^60 + g1^2*t^7.358 + (3*t^7.488)/g1^42 + g1^20*t^7.577 + (2*t^7.618)/g1^86 + t^7.707/g1^24 + (2*t^7.838)/g1^68 + t^7.927/g1^6 + t^7.968/g1^112 + (3*t^8.057)/g1^50 + t^8.187/g1^94 + (3*t^8.407)/g1^76 - t^8.496/g1^14 + t^8.537/g1^120 + (2*t^8.626)/g1^58 - g1^4*t^8.715 + t^8.756/g1^102 + (3*t^8.846)/g1^40 - 2*g1^22*t^8.935 + (3*t^8.976)/g1^84 - (g1^2*t^4.358)/y - t^6.634/(g1^30*y) + t^7.772/(g1^46*y) + (g1^34*t^8.081)/y + t^8.211/(g1^10*y) + t^8.342/(g1^54*y) + (g1^8*t^8.431)/y + (2*t^8.561)/(g1^36*y) + (2*t^8.781)/(g1^18*y) - g1^2*t^4.358*y - (t^6.634*y)/g1^30 + (t^7.772*y)/g1^46 + g1^34*t^8.081*y + (t^8.211*y)/g1^10 + (t^8.342*y)/g1^54 + g1^8*t^8.431*y + (2*t^8.561*y)/g1^36 + (2*t^8.781*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3983 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$ | 0.6583 | 0.809 | 0.8137 | [X:[1.3528], M:[1.0396, 1.0981, 1.1566, 0.9604, 0.6472, 0.8434, 0.7849, 0.9604], q:[0.7745, 0.3821], qb:[0.5783, 0.4613], phi:[0.4509]] | t^2.355 + t^2.53 + 2*t^2.881 + t^3.294 + t^3.47 + t^3.707 + t^3.883 + t^4.059 + t^4.121 + t^4.234 + t^4.472 + t^4.709 + t^4.823 + t^4.885 + t^5.06 + 2*t^5.236 + t^5.411 + 2*t^5.762 + 2*t^5.824 - 2*t^6. - t^4.353/y - t^4.353*y | detail | |
| 3979 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{6}M_{7}$ | 0.5692 | 0.6942 | 0.8199 | [X:[1.3043], M:[1.2174, 1.1304, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | t^2.348 + t^2.87 + 2*t^3.13 + t^3.391 + 2*t^3.652 + t^3.913 + t^4.174 + 2*t^4.435 + t^4.957 + 2*t^5.478 + t^5.739 - t^4.304/y - t^4.304*y | detail | {a: 2409/4232, c: 1469/2116, X1: 30/23, M1: 28/23, M2: 26/23, M3: 24/23, M4: 18/23, M5: 16/23, M6: 22/23, M7: 24/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
| 3981 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6552 | 0.8044 | 0.8145 | [X:[1.3548], M:[1.0323, 1.0968, 1.1613, 0.9677, 0.6452, 0.8387, 0.7742], q:[0.7742, 0.3871], qb:[0.5806, 0.4516], phi:[0.4516]] | t^2.323 + t^2.516 + t^2.903 + t^3.097 + t^3.29 + t^3.484 + t^3.677 + t^3.871 + 2*t^4.065 + t^4.258 + t^4.452 + t^4.645 + 2*t^4.839 + t^5.032 + t^5.226 + t^5.419 + t^5.613 + 2*t^5.806 - t^4.355/y - t^4.355*y | detail | {a: 5037/7688, c: 773/961, X1: 42/31, M1: 32/31, M2: 34/31, M3: 36/31, M4: 30/31, M5: 20/31, M6: 26/31, M7: 24/31, q1: 24/31, q2: 12/31, qb1: 18/31, qb2: 14/31, phi1: 14/31} |
| 3976 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{7}^{2}$ | 0.592 | 0.7209 | 0.8212 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0], q:[0.7813, 0.2813], qb:[0.5313, 0.6563], phi:[0.4375]] | t^2.438 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.563 + t^3.75 + t^3.938 + t^4.125 + t^4.313 + t^4.5 + t^4.875 + t^5.25 + t^5.438 + t^5.625 + t^5.813 - t^4.313/y - t^4.313*y | detail | {a: 77589/131072, c: 94485/131072, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| 3982 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6757 | 0.8438 | 0.8008 | [X:[1.357], M:[1.0243, 1.0953, 1.1664, 0.9757, 0.643, 0.8336, 0.7626, 0.714], q:[0.7738, 0.3925], qb:[0.5832, 0.4411], phi:[0.4523]] | t^2.142 + t^2.288 + t^2.501 + t^2.927 + t^3.073 + t^3.286 + t^3.499 + t^3.645 + t^4.004 + t^4.071 + 2*t^4.284 + 2*t^4.43 + t^4.575 + t^4.643 + t^4.789 + t^4.856 + t^5.002 + t^5.069 + 2*t^5.215 + t^5.361 + t^5.428 + t^5.574 + t^5.641 + 3*t^5.787 + t^5.932 - t^6. - t^4.357/y - t^4.357*y | detail | |
| 3984 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6763 | 0.8474 | 0.7981 | [X:[1.3575], M:[1.0226, 1.095, 1.1675, 0.9774, 0.6425, 0.8325, 0.7601, 0.6698], q:[0.7738, 0.3937], qb:[0.5837, 0.4388], phi:[0.4525]] | t^2.01 + t^2.28 + t^2.498 + t^2.932 + t^3.068 + t^3.285 + t^3.502 + t^3.638 + t^3.855 + t^4.019 + t^4.072 + 2*t^4.29 + t^4.425 + t^4.507 + t^4.561 + t^4.778 + t^4.86 + t^4.942 + t^4.995 + t^5.077 + t^5.213 + t^5.295 + t^5.348 + t^5.512 + t^5.565 + t^5.647 + 2*t^5.783 + t^5.865 + t^5.918 - t^6. - t^4.357/y - t^4.357*y | detail | |
| 3980 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6731 | 0.8363 | 0.8049 | [X:[1.3542], M:[1.0347, 1.0972, 1.1597, 0.9653, 0.6458, 0.8403, 0.7777, 0.7709], q:[0.7743, 0.3854], qb:[0.5799, 0.4548], phi:[0.4514]] | t^2.313 + t^2.333 + t^2.521 + t^2.896 + t^3.104 + t^3.292 + t^3.479 + t^3.875 + t^4.063 + t^4.083 + t^4.25 + t^4.458 + t^4.625 + t^4.646 + t^4.666 + 2*t^4.833 + t^4.854 + t^5.042 + t^5.209 + t^5.229 + t^5.417 + t^5.437 + t^5.604 + t^5.625 + t^5.792 + 2*t^5.812 - t^6. - t^4.354/y - t^4.354*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1025 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ | 0.6373 | 0.7722 | 0.8253 | [X:[1.3537], M:[1.0366, 1.0976, 1.1585, 0.9634, 0.6463, 0.8415], q:[0.7744, 0.3841], qb:[0.5793, 0.4573], phi:[0.4512]] | t^2.524 + t^2.89 + t^3.11 + t^3.293 + t^3.476 + t^3.658 + t^3.695 + t^3.878 + t^4.061 + t^4.098 + t^4.244 + t^4.463 + t^4.829 + t^5.049 + t^5.817 - t^6. - t^4.354/y - t^4.354*y | detail |