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 |
|---|---|---|---|---|---|---|---|---|---|
| 3260 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6372 | 0.7887 | 0.8079 | [X:[1.6157], M:[0.8471, 0.6901, 1.1529, 0.3843, 0.8078], q:[0.4039, 0.749], qb:[0.4432, 0.8667], phi:[0.3843]] | [X:[[4]], M:[[12], [-28], [-12], [-4], [2]], q:[[1], [-13]], qb:[[11], [17]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | 0 | t^2.07 + t^2.306 + t^2.424 + t^2.541 + t^3.459 + t^3.576 + t^3.694 + 2*t^3.812 + t^4.141 + t^4.376 + t^4.494 + 2*t^4.612 + t^4.729 + 3*t^4.847 + t^4.965 + t^5.083 + t^5.529 + t^5.647 + t^5.765 + 2*t^5.882 + 2*t^6.118 + t^6.211 + 2*t^6.235 + 2*t^6.353 + t^6.446 + t^6.564 + 2*t^6.682 + t^6.8 + 4*t^6.917 + t^7.035 + 3*t^7.153 + 2*t^7.271 + 2*t^7.388 + t^7.506 + t^7.599 + 3*t^7.624 + t^7.717 + t^7.835 + 2*t^7.953 + t^8.188 + t^8.281 + t^8.306 + t^8.517 - t^8.541 + t^8.634 + 3*t^8.659 + 2*t^8.752 + t^8.777 + t^8.87 + 2*t^8.895 + 4*t^8.988 - t^4.153/y - t^6.223/y - t^6.459/y - t^6.576/y + t^7.376/y + t^7.494/y + t^7.612/y + (2*t^7.729)/y + (2*t^7.847)/y + t^7.965/y + t^8.083/y - t^8.294/y + t^8.765/y + (3*t^8.882)/y - t^4.153*y - t^6.223*y - t^6.459*y - t^6.576*y + t^7.376*y + t^7.494*y + t^7.612*y + 2*t^7.729*y + 2*t^7.847*y + t^7.965*y + t^8.083*y - t^8.294*y + t^8.765*y + 3*t^8.882*y | t^2.07/g1^28 + t^2.306/g1^8 + g1^2*t^2.424 + g1^12*t^2.541 + t^3.459/g1^12 + t^3.576/g1^2 + g1^8*t^3.694 + 2*g1^18*t^3.812 + t^4.141/g1^56 + t^4.376/g1^36 + t^4.494/g1^26 + (2*t^4.612)/g1^16 + t^4.729/g1^6 + 3*g1^4*t^4.847 + g1^14*t^4.965 + g1^24*t^5.083 + t^5.529/g1^40 + t^5.647/g1^30 + t^5.765/g1^20 + (2*t^5.882)/g1^10 + 2*g1^10*t^6.118 + t^6.211/g1^84 + 2*g1^20*t^6.235 + 2*g1^30*t^6.353 + t^6.446/g1^64 + t^6.564/g1^54 + (2*t^6.682)/g1^44 + t^6.8/g1^34 + (4*t^6.917)/g1^24 + t^7.035/g1^14 + (3*t^7.153)/g1^4 + 2*g1^6*t^7.271 + 2*g1^16*t^7.388 + g1^26*t^7.506 + t^7.599/g1^68 + 3*g1^36*t^7.624 + t^7.717/g1^58 + t^7.835/g1^48 + (2*t^7.953)/g1^38 + t^8.188/g1^18 + t^8.281/g1^112 + t^8.306/g1^8 + t^8.517/g1^92 - g1^12*t^8.541 + t^8.634/g1^82 + 3*g1^22*t^8.659 + (2*t^8.752)/g1^72 + g1^32*t^8.777 + t^8.87/g1^62 + 2*g1^42*t^8.895 + (4*t^8.988)/g1^52 - t^4.153/(g1^4*y) - t^6.223/(g1^32*y) - t^6.459/(g1^12*y) - t^6.576/(g1^2*y) + t^7.376/(g1^36*y) + t^7.494/(g1^26*y) + t^7.612/(g1^16*y) + (2*t^7.729)/(g1^6*y) + (2*g1^4*t^7.847)/y + (g1^14*t^7.965)/y + (g1^24*t^8.083)/y - t^8.294/(g1^60*y) + t^8.765/(g1^20*y) + (3*t^8.882)/(g1^10*y) - (t^4.153*y)/g1^4 - (t^6.223*y)/g1^32 - (t^6.459*y)/g1^12 - (t^6.576*y)/g1^2 + (t^7.376*y)/g1^36 + (t^7.494*y)/g1^26 + (t^7.612*y)/g1^16 + (2*t^7.729*y)/g1^6 + 2*g1^4*t^7.847*y + g1^14*t^7.965*y + g1^24*t^8.083*y - (t^8.294*y)/g1^60 + (t^8.765*y)/g1^20 + (3*t^8.882*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3683 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{6}$ | 0.6212 | 0.7607 | 0.8166 | [X:[1.6162], M:[0.8487, 0.6865, 1.1513, 0.3838, 0.8081, 1.1919], q:[0.4041, 0.7473], qb:[0.4446, 0.8689], phi:[0.3838]] | t^2.059 + t^2.303 + t^2.546 + t^3.454 + 2*t^3.576 + t^3.697 + 2*t^3.819 + t^4.119 + t^4.362 + 2*t^4.605 + 2*t^4.849 + t^5.092 + t^5.513 + 2*t^5.635 + t^5.757 + 2*t^5.878 - t^6. - t^4.151/y - t^4.151*y | detail | |
| 3682 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6555 | 0.8217 | 0.7977 | [X:[1.6173], M:[0.8518, 0.6792, 1.1482, 0.3827, 0.8086, 0.7655], q:[0.4043, 0.7439], qb:[0.4475, 0.8734], phi:[0.3827]] | t^2.037 + 2*t^2.296 + t^2.426 + t^2.555 + t^3.445 + t^3.574 + 2*t^3.833 + t^4.075 + 2*t^4.334 + t^4.463 + 4*t^4.593 + 2*t^4.722 + 4*t^4.852 + t^4.981 + t^5.111 + t^5.482 + t^5.612 + t^5.741 + 3*t^5.871 - t^6. - t^4.148/y - t^4.148*y | detail | |
| 3681 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6532 | 0.8167 | 0.7999 | [X:[1.6152], M:[0.8455, 0.6937, 1.1545, 0.3848, 0.8076, 0.8076], q:[0.4038, 0.7507], qb:[0.4417, 0.8645], phi:[0.3848]] | t^2.081 + t^2.309 + 2*t^2.423 + t^2.537 + t^3.463 + t^3.691 + 2*t^3.805 + t^4.162 + t^4.39 + 2*t^4.504 + 2*t^4.618 + 2*t^4.732 + 5*t^4.846 + 2*t^4.959 + t^5.073 + t^5.545 + t^5.772 + 2*t^5.886 - t^6. - t^4.154/y - t^4.154*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2749 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6384 | 0.7922 | 0.8058 | [X:[1.6159], M:[0.8476, 0.689, 1.1524, 0.3841, 0.77], q:[0.4229, 0.7295], qb:[0.4246, 0.8863], phi:[0.3841]] | t^2.067 + t^2.305 + t^2.31 + t^2.543 + t^3.457 + t^3.463 + t^3.695 + t^3.7 + t^3.928 + t^4.134 + t^4.372 + t^4.377 + 2*t^4.61 + t^4.615 + t^4.62 + 2*t^4.848 + t^4.853 + t^5.085 + t^5.524 + t^5.53 + t^5.762 + 2*t^5.767 + t^5.773 - t^6. - t^4.152/y - t^4.152*y | detail |