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 |
|---|---|---|---|---|---|---|---|---|---|
| 983 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ | 0.6651 | 0.8215 | 0.8096 | [M:[1.0528, 0.7461, 0.9472, 0.8518, 1.1482], q:[0.5741, 0.3731], qb:[0.4788, 0.7751], phi:[0.4497]] | [M:[[22], [-30], [-22], [14], [-14]], q:[[-7], [-15]], qb:[[29], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -1 | t^2.238 + t^2.555 + t^2.698 + t^2.841 + t^3.159 + t^3.445 + t^3.588 + t^3.905 + t^4.048 + t^4.191 + t^4.222 + t^4.477 + t^4.508 + 2*t^4.794 + t^4.937 + t^5.08 + t^5.111 + t^5.254 + 2*t^5.397 + t^5.54 + t^5.683 + t^5.826 + t^5.857 - t^6. + 2*t^6.143 + 2*t^6.286 + 2*t^6.429 + t^6.46 + t^6.715 + 2*t^6.746 + t^6.777 + t^6.889 + t^6.92 + 3*t^7.032 + t^7.063 + 2*t^7.175 + t^7.318 + t^7.349 + t^7.38 + 3*t^7.492 - t^7.523 + 3*t^7.635 + t^7.666 + 2*t^7.778 + t^7.809 + t^7.921 + t^7.952 + t^8.064 + 2*t^8.095 + t^8.126 + 3*t^8.381 + t^8.444 + 2*t^8.524 - t^8.555 + 2*t^8.667 + t^8.73 - t^8.841 - t^8.873 + t^8.953 + 3*t^8.984 - t^4.349/y - t^6.588/y - t^7.048/y + t^7.651/y + t^7.794/y + t^7.937/y + t^8.08/y + t^8.111/y + t^8.254/y + (2*t^8.397)/y + t^8.54/y + t^8.683/y + t^8.714/y + t^8.857/y - t^4.349*y - t^6.588*y - t^7.048*y + t^7.651*y + t^7.794*y + t^7.937*y + t^8.08*y + t^8.111*y + t^8.254*y + 2*t^8.397*y + t^8.54*y + t^8.683*y + t^8.714*y + t^8.857*y | t^2.238/g1^30 + g1^14*t^2.555 + t^2.698/g1^4 + t^2.841/g1^22 + g1^22*t^3.159 + t^3.445/g1^14 + t^3.588/g1^32 + g1^12*t^3.905 + t^4.048/g1^6 + t^4.191/g1^24 + g1^56*t^4.222 + t^4.477/g1^60 + g1^20*t^4.508 + (2*t^4.794)/g1^16 + t^4.937/g1^34 + t^5.08/g1^52 + g1^28*t^5.111 + g1^10*t^5.254 + (2*t^5.397)/g1^8 + t^5.54/g1^26 + t^5.683/g1^44 + t^5.826/g1^62 + g1^18*t^5.857 - t^6. + (2*t^6.143)/g1^18 + (2*t^6.286)/g1^36 + (2*t^6.429)/g1^54 + g1^26*t^6.46 + t^6.715/g1^90 + (2*t^6.746)/g1^10 + g1^70*t^6.777 + t^6.889/g1^28 + g1^52*t^6.92 + (3*t^7.032)/g1^46 + g1^34*t^7.063 + (2*t^7.175)/g1^64 + t^7.318/g1^82 + t^7.349/g1^2 + g1^78*t^7.38 + (3*t^7.492)/g1^20 - g1^60*t^7.523 + (3*t^7.635)/g1^38 + g1^42*t^7.666 + (2*t^7.778)/g1^56 + g1^24*t^7.809 + t^7.921/g1^74 + g1^6*t^7.952 + t^8.064/g1^92 + (2*t^8.095)/g1^12 + g1^68*t^8.126 + (3*t^8.381)/g1^48 + g1^112*t^8.444 + (2*t^8.524)/g1^66 - g1^14*t^8.555 + (2*t^8.667)/g1^84 + g1^76*t^8.73 - t^8.841/g1^22 - g1^58*t^8.873 + t^8.953/g1^120 + (3*t^8.984)/g1^40 - t^4.349/(g1^2*y) - t^6.588/(g1^32*y) - t^7.048/(g1^6*y) + (g1^2*t^7.651)/y + t^7.794/(g1^16*y) + t^7.937/(g1^34*y) + t^8.08/(g1^52*y) + (g1^28*t^8.111)/y + (g1^10*t^8.254)/y + (2*t^8.397)/(g1^8*y) + t^8.54/(g1^26*y) + t^8.683/(g1^44*y) + (g1^36*t^8.714)/y + (g1^18*t^8.857)/y - (t^4.349*y)/g1^2 - (t^6.588*y)/g1^32 - (t^7.048*y)/g1^6 + g1^2*t^7.651*y + (t^7.794*y)/g1^16 + (t^7.937*y)/g1^34 + (t^8.08*y)/g1^52 + g1^28*t^8.111*y + g1^10*t^8.254*y + (2*t^8.397*y)/g1^8 + (t^8.54*y)/g1^26 + (t^8.683*y)/g1^44 + g1^36*t^8.714*y + g1^18*t^8.857*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 |
|---|---|---|---|---|---|---|---|---|
| 1536 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.664 | 0.8192 | 0.8105 | [M:[1.0323, 0.7742, 0.9677, 0.8387, 1.1613], q:[0.5806, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | t^2.323 + t^2.516 + t^2.71 + t^2.903 + t^3.097 + 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 + 2*t^5.032 + 2*t^5.226 + 2*t^5.419 + t^5.613 + 2*t^5.806 - t^4.355/y - t^4.355*y | detail | {a: 316497/476656, c: 195247/238328, M1: 32/31, M2: 24/31, M3: 30/31, M4: 26/31, M5: 36/31, q1: 18/31, q2: 12/31, qb1: 14/31, qb2: 24/31, phi1: 14/31} |
| 1532 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.5288 | 0.6722 | 0.7867 | [M:[0.8235, 1.0588, 1.1765, 0.7059, 1.2941], q:[0.6471, 0.5294], qb:[0.1765, 0.7647], phi:[0.4706]] | t^2.118 + 2*t^2.471 + t^2.824 + t^3.176 + 2*t^3.529 + 2*t^3.882 + 2*t^4.235 + 2*t^4.588 + 4*t^4.941 + 4*t^5.294 + 2*t^5.647 + 2*t^6. - t^4.412/y - t^4.412*y | detail | {a: 41571/78608, c: 26421/39304, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 22/17, q1: 11/17, q2: 9/17, qb1: 3/17, qb2: 13/17, phi1: 8/17} |
| 1531 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ | 0.5758 | 0.7217 | 0.7979 | [M:[0.8667, 1.0, 1.1333, 0.7333, 1.2667], q:[0.6333, 0.5], qb:[0.2333, 0.7667], phi:[0.4667]] | t^2.2 + t^2.6 + 2*t^2.8 + t^3. + t^3.4 + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^4.8 + 2*t^5. + 2*t^5.2 + 2*t^5.4 + 4*t^5.6 + 2*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 691/1200, c: 433/600, M1: 13/15, M2: 1, M3: 17/15, M4: 11/15, M5: 19/15, q1: 19/30, q2: 1/2, qb1: 7/30, qb2: 23/30, phi1: 7/15} |
| 1537 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ | 0.661 | 0.8142 | 0.8118 | [M:[1.0344, 0.7713, 0.9656, 0.8401, 1.1599, 1.0344], q:[0.58, 0.3856], qb:[0.4544, 0.7743], phi:[0.4514]] | t^2.314 + t^2.52 + t^2.709 + 2*t^3.103 + t^3.48 + t^3.668 + t^3.874 + t^4.063 + t^4.081 + t^4.251 + t^4.457 + t^4.628 + 2*t^4.834 + t^5.022 + t^5.04 + t^5.229 + 2*t^5.417 + t^5.623 + 2*t^5.812 + t^5.982 - 2*t^6. - t^4.354/y - t^4.354*y | detail | |
| 1538 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ | 0.6783 | 0.8438 | 0.8038 | [M:[1.0435, 0.7589, 0.9565, 0.8459, 1.1541, 0.8459], q:[0.5771, 0.3794], qb:[0.4664, 0.7747], phi:[0.4506]] | t^2.277 + 2*t^2.538 + t^2.704 + t^2.869 + t^3.131 + t^3.628 + t^3.889 + t^4.055 + t^4.15 + t^4.221 + t^4.482 + t^4.553 + 3*t^4.814 + t^4.98 + 3*t^5.075 + t^5.146 + 2*t^5.241 + 3*t^5.407 + t^5.573 + t^5.668 + t^5.834 + t^5.905 - 2*t^6. - t^4.352/y - t^4.352*y | detail | |
| 1542 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6856 | 0.861 | 0.7963 | [M:[1.0546, 0.7437, 0.9454, 0.853, 1.147, 0.6975], q:[0.5735, 0.3718], qb:[0.4811, 0.7752], phi:[0.4496]] | t^2.092 + t^2.231 + t^2.559 + t^2.697 + t^2.836 + t^3.164 + t^3.441 + t^3.58 + t^4.046 + 2*t^4.185 + t^4.236 + t^4.323 + t^4.462 + t^4.513 + t^4.651 + 3*t^4.79 + 2*t^4.928 + t^5.067 + t^5.118 + 2*t^5.256 + 2*t^5.395 + 2*t^5.534 + 2*t^5.672 + t^5.811 + t^5.861 - t^6. - t^4.349/y - t^4.349*y | detail | |
| 1539 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.682 | 0.8512 | 0.8012 | [M:[1.0374, 0.7672, 0.9626, 0.842, 1.158, 0.7816], q:[0.579, 0.3836], qb:[0.4583, 0.7744], phi:[0.4511]] | t^2.302 + t^2.345 + t^2.526 + t^2.707 + t^2.888 + t^3.112 + t^3.474 + t^3.879 + t^4.06 + t^4.103 + t^4.241 + t^4.466 + t^4.603 + t^4.647 + t^4.69 + 2*t^4.828 + t^4.871 + t^5.009 + 2*t^5.052 + t^5.19 + 2*t^5.233 + 2*t^5.414 + t^5.457 + t^5.595 + t^5.776 + 2*t^5.819 - t^6. - t^4.353/y - t^4.353*y | detail | |
| 1540 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6559 | 0.8059 | 0.8139 | [M:[1.0498, 0.7503, 0.9502, 0.8498, 1.1502, 1.1], q:[0.5751, 0.3752], qb:[0.4747, 0.775], phi:[0.45]] | t^2.251 + t^2.55 + t^2.851 + t^3.149 + t^3.3 + t^3.45 + t^3.601 + t^3.9 + t^4.05 + t^4.198 + t^4.201 + t^4.499 + t^4.502 + 2*t^4.801 + t^5.099 + t^5.102 + t^5.4 + t^5.551 + t^5.701 + t^5.849 + t^5.852 - t^6. - t^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 609 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6698 | 0.8297 | 0.8073 | [M:[0.9823, 0.7363, 0.8719, 0.8467, 1.1533], q:[0.6495, 0.3682], qb:[0.4785, 0.7852], phi:[0.4297]] | t^2.209 + t^2.54 + t^2.578 + t^2.616 + t^2.947 + t^3.46 + t^3.498 + t^3.829 + t^4.16 + t^4.304 + t^4.342 + t^4.418 + t^4.673 + t^4.749 + t^4.787 + t^4.825 + t^5.08 + t^5.118 + 2*t^5.156 + t^5.186 + t^5.194 + t^5.232 + t^5.525 + t^5.563 + t^5.707 + t^5.894 - 2*t^6. - t^4.289/y - t^4.289*y | detail |