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 |
|---|---|---|---|---|---|---|---|---|---|
| 54902 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6977 | 0.8853 | 0.7881 | [M:[1.1817, 1.0013, 0.8183, 0.8183, 0.7268, 0.7268], q:[0.4092, 0.4092], qb:[0.5895, 0.7725], phi:[0.4549]] | [M:[[2], [-22], [-2], [-2], [8], [8]], q:[[-1], [-1]], qb:[[23], [3]], phi:[[-6]]] | 1 | {a: 52048525/74596056, c: 8255182/9324507, M1: 6250/5289, M2: 5296/5289, M3: 4328/5289, M4: 4328/5289, M5: 3844/5289, M6: 3844/5289, q1: 2164/5289, q2: 2164/5289, qb1: 3118/5289, qb2: 1362/1763, phi1: 802/1763} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}M_{1}M_{4}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | 0 | 2*t^2.18 + 2*t^2.455 + t^2.729 + t^2.996 + t^3.004 + t^3.545 + t^3.82 + t^4.086 + 5*t^4.361 + 4*t^4.635 + t^4.902 + 5*t^4.91 + 2*t^5.176 + 4*t^5.184 + 2*t^5.451 + t^5.459 + 3*t^5.725 + t^5.733 + t^5.992 + t^6.008 + 2*t^6.267 + t^6.275 + 8*t^6.541 + t^6.549 + 9*t^6.816 - t^6.824 + 3*t^7.082 + 8*t^7.09 + 6*t^7.357 + 8*t^7.365 + 4*t^7.631 + 5*t^7.639 + t^7.898 + 6*t^7.906 + 3*t^7.914 + 2*t^8.172 - t^8.18 + 3*t^8.188 + 6*t^8.447 - 4*t^8.455 + 2*t^8.463 + 12*t^8.721 - t^8.729 + t^8.737 + 2*t^8.988 + 9*t^8.996 - t^4.365/y - (2*t^6.545)/y - t^6.82/y - t^7.094/y + (2*t^7.361)/y - t^7.369/y + (5*t^7.635)/y + (4*t^7.91)/y + (2*t^8.176)/y + (6*t^8.184)/y + (2*t^8.451)/y + (2*t^8.459)/y + t^8.733/y - t^4.365*y - 2*t^6.545*y - t^6.82*y - t^7.094*y + 2*t^7.361*y - t^7.369*y + 5*t^7.635*y + 4*t^7.91*y + 2*t^8.176*y + 6*t^8.184*y + 2*t^8.451*y + 2*t^8.459*y + t^8.733*y | 2*g1^8*t^2.18 + (2*t^2.455)/g1^2 + t^2.729/g1^12 + g1^22*t^2.996 + t^3.004/g1^22 + g1^2*t^3.545 + t^3.82/g1^8 + g1^26*t^4.086 + 5*g1^16*t^4.361 + 4*g1^6*t^4.635 + g1^40*t^4.902 + (5*t^4.91)/g1^4 + 2*g1^30*t^5.176 + (4*t^5.184)/g1^14 + 2*g1^20*t^5.451 + t^5.459/g1^24 + 3*g1^10*t^5.725 + t^5.733/g1^34 + g1^44*t^5.992 + t^6.008/g1^44 + 2*g1^34*t^6.267 + t^6.275/g1^10 + 8*g1^24*t^6.541 + t^6.549/g1^20 + 9*g1^14*t^6.816 - t^6.824/g1^30 + 3*g1^48*t^7.082 + 8*g1^4*t^7.09 + 6*g1^38*t^7.357 + (8*t^7.365)/g1^6 + 4*g1^28*t^7.631 + (5*t^7.639)/g1^16 + g1^62*t^7.898 + 6*g1^18*t^7.906 + (3*t^7.914)/g1^26 + 2*g1^52*t^8.172 - g1^8*t^8.18 + (3*t^8.188)/g1^36 + 6*g1^42*t^8.447 - (4*t^8.455)/g1^2 + (2*t^8.463)/g1^46 + 12*g1^32*t^8.721 - t^8.729/g1^12 + t^8.737/g1^56 + 2*g1^66*t^8.988 + 9*g1^22*t^8.996 - t^4.365/(g1^6*y) - (2*g1^2*t^6.545)/y - t^6.82/(g1^8*y) - t^7.094/(g1^18*y) + (2*g1^16*t^7.361)/y - t^7.369/(g1^28*y) + (5*g1^6*t^7.635)/y + (4*t^7.91)/(g1^4*y) + (2*g1^30*t^8.176)/y + (6*t^8.184)/(g1^14*y) + (2*g1^20*t^8.451)/y + (2*t^8.459)/(g1^24*y) + t^8.733/(g1^34*y) - (t^4.365*y)/g1^6 - 2*g1^2*t^6.545*y - (t^6.82*y)/g1^8 - (t^7.094*y)/g1^18 + 2*g1^16*t^7.361*y - (t^7.369*y)/g1^28 + 5*g1^6*t^7.635*y + (4*t^7.91*y)/g1^4 + 2*g1^30*t^8.176*y + (6*t^8.184*y)/g1^14 + 2*g1^20*t^8.451*y + (2*t^8.459*y)/g1^24 + (t^8.733*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56623 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.7131 | 0.9119 | 0.782 | [M:[1.182, 0.9981, 0.818, 0.818, 0.728, 0.728, 0.818], q:[0.409, 0.409], qb:[0.5929, 0.773], phi:[0.454]] | 2*t^2.184 + 3*t^2.454 + t^2.724 + t^2.994 + t^3.006 + t^3.816 + t^4.098 + 5*t^4.368 + 6*t^4.638 + 8*t^4.908 + t^4.919 + 5*t^5.178 + 2*t^5.19 + 2*t^5.448 + 3*t^5.46 + t^5.719 + t^5.73 + t^5.989 - 2*t^6. - t^4.362/y - t^4.362*y | detail | {a: 26566873/37255728, c: 16985839/18627864, M1: 3124/2643, M2: 2638/2643, M3: 2162/2643, M4: 2162/2643, M5: 1924/2643, M6: 1924/2643, M7: 2162/2643, q1: 1081/2643, q2: 1081/2643, qb1: 1567/2643, qb2: 681/881, phi1: 400/881} |
| 56624 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.7176 | 0.9228 | 0.7777 | [M:[1.1812, 1.0071, 0.8188, 0.8188, 0.7247, 0.7247, 0.7247], q:[0.4094, 0.4094], qb:[0.5835, 0.7718], phi:[0.4565]] | 3*t^2.174 + 2*t^2.456 + t^2.739 + t^2.979 + t^3.021 + t^3.544 + t^4.066 + 8*t^4.348 + 6*t^4.631 + t^4.87 + 6*t^4.913 + 3*t^5.153 + 5*t^5.195 + 2*t^5.435 + t^5.478 + 4*t^5.718 + t^5.76 + t^5.957 - 2*t^6. - t^4.369/y - t^4.369*y | detail | {a: 4258595/5934096, c: 2737993/2967048, M1: 2158/1827, M2: 1840/1827, M3: 1496/1827, M4: 1496/1827, M5: 1324/1827, M6: 1324/1827, M7: 1324/1827, q1: 748/1827, q2: 748/1827, qb1: 1066/1827, qb2: 470/609, phi1: 278/609} |
| 56618 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6901 | 0.8745 | 0.7891 | [M:[1.1794, 1.0269, 0.8206, 0.8206, 0.7175, 0.7175, 1.0762], q:[0.4103, 0.4103], qb:[0.5628, 0.7691], phi:[0.4619]] | 2*t^2.152 + 2*t^2.462 + t^2.919 + t^3.081 + t^3.229 + t^3.538 + t^3.848 + t^3.995 + 5*t^4.305 + 4*t^4.614 + t^4.762 + 3*t^4.924 + 2*t^5.072 + 2*t^5.233 + 4*t^5.381 + 4*t^5.691 + t^5.838 - t^4.386/y - t^4.386*y | detail | |
| 56621 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.7 | 0.8875 | 0.7887 | [M:[1.1863, 0.9506, 0.8137, 0.8137, 0.7452, 0.7452, 0.9506], q:[0.4068, 0.4068], qb:[0.6426, 0.7795], phi:[0.4411]] | 2*t^2.236 + 2*t^2.441 + t^2.646 + 2*t^2.852 + t^3.559 + t^3.764 + t^4.266 + 5*t^4.471 + 4*t^4.677 + 5*t^4.882 + 6*t^5.087 + t^5.179 + 3*t^5.293 + 2*t^5.498 + 3*t^5.704 + 2*t^5.795 - t^6. - t^4.323/y - t^4.323*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47041 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6779 | 0.8482 | 0.7993 | [M:[1.1823, 0.9951, 0.8177, 0.8177, 0.7291], q:[0.4089, 0.4089], qb:[0.596, 0.7734], phi:[0.4532]] | t^2.187 + 2*t^2.453 + t^2.719 + t^2.985 + t^3.015 + t^3.547 + 2*t^3.813 + t^4.108 + 3*t^4.374 + 2*t^4.64 + 4*t^4.906 + t^4.936 + 3*t^5.172 + t^5.202 + t^5.438 + 2*t^5.468 + t^5.705 + 2*t^5.734 + t^5.971 - t^4.36/y - t^4.36*y | detail | {a: 93927043/138556848, c: 58758829/69278424, M1: 6026/5097, M2: 5072/5097, M3: 4168/5097, M4: 4168/5097, M5: 3716/5097, q1: 2084/5097, q2: 2084/5097, qb1: 3038/5097, qb2: 1314/1699, phi1: 770/1699} |