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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [-2, 9]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}M_{5}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | -1 | 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. + 2*t^6.005 + t^6.01 + t^6.201 + t^6.238 + t^6.243 + t^6.439 + t^6.444 + t^6.47 + 2*t^6.677 + t^6.682 + t^6.687 + 3*t^6.915 + 2*t^6.92 + 2*t^6.925 + t^6.93 - t^7.147 + t^7.152 + 2*t^7.158 + 2*t^7.163 - t^7.385 + t^7.395 + t^7.401 + t^7.592 + t^7.597 + t^7.628 + t^7.829 + 2*t^7.835 + t^7.84 + t^7.855 - t^8.067 + 2*t^8.072 + 2*t^8.078 + t^8.083 + t^8.268 - t^8.3 - t^8.305 + 2*t^8.315 + t^8.321 + t^8.506 + t^8.511 - t^8.537 - 3*t^8.543 + 2*t^8.548 + t^8.553 + 2*t^8.744 + t^8.749 + t^8.754 + t^8.786 + 3*t^8.982 + 2*t^8.987 + 2*t^8.992 + t^8.997 - t^4.152/y - t^6.22/y - t^6.457/y - t^6.463/y + t^7.372/y + t^7.377/y + t^7.61/y + t^7.615/y + t^7.842/y + (2*t^7.848)/y + t^7.853/y + t^8.085/y - t^8.287/y + t^8.762/y + (2*t^8.767)/y + t^8.995/y - t^4.152*y - t^6.22*y - t^6.457*y - t^6.463*y + t^7.372*y + t^7.377*y + t^7.61*y + t^7.615*y + t^7.842*y + 2*t^7.848*y + t^7.853*y + t^8.085*y - t^8.287*y + t^8.762*y + 2*t^8.767*y + t^8.995*y | t^2.067/g2^7 + t^2.305/g2^2 + (g2^9*t^2.31)/g1^2 + g2^3*t^2.543 + t^3.457/g2^3 + (g2^8*t^3.463)/g1^2 + g2^2*t^3.695 + (g2^13*t^3.7)/g1^2 + (g1^2*t^3.928)/g2^4 + t^4.134/g2^14 + t^4.372/g2^9 + (g2^2*t^4.377)/g1^2 + (2*t^4.61)/g2^4 + (g2^7*t^4.615)/g1^2 + (g2^18*t^4.62)/g1^4 + 2*g2*t^4.848 + (g2^12*t^4.853)/g1^2 + g2^6*t^5.085 + t^5.524/g2^10 + (g2*t^5.53)/g1^2 + t^5.762/g2^5 + (2*g2^6*t^5.767)/g1^2 + (g2^17*t^5.773)/g1^4 - t^6. + (2*g2^11*t^6.005)/g1^2 + (g2^22*t^6.01)/g1^4 + t^6.201/g2^21 + g2^5*t^6.238 + (g2^16*t^6.243)/g1^2 + t^6.439/g2^16 + t^6.444/(g1^2*g2^5) + (g1^2*t^6.47)/g2 + (2*t^6.677)/g2^11 + t^6.682/g1^2 + (g2^11*t^6.687)/g1^4 + (3*t^6.915)/g2^6 + (2*g2^5*t^6.92)/g1^2 + (2*g2^16*t^6.925)/g1^4 + (g2^27*t^6.93)/g1^6 - (g1^2*t^7.147)/g2^12 + t^7.152/g2 + (2*g2^10*t^7.158)/g1^2 + (2*g2^21*t^7.163)/g1^4 - (g1^2*t^7.385)/g2^7 + (g2^15*t^7.395)/g1^2 + (g2^26*t^7.401)/g1^4 + t^7.592/g2^17 + t^7.597/(g1^2*g2^6) + g2^9*t^7.628 + t^7.829/g2^12 + (2*t^7.835)/(g1^2*g2) + (g2^10*t^7.84)/g1^4 + (g1^4*t^7.855)/g2^8 - t^8.067/g2^7 + (2*g2^4*t^8.072)/g1^2 + (2*g2^15*t^8.078)/g1^4 + (g2^26*t^8.083)/g1^6 + t^8.268/g2^28 - (g1^2*t^8.3)/g2^13 - t^8.305/g2^2 + (2*g2^20*t^8.315)/g1^4 + (g2^31*t^8.321)/g1^6 + t^8.506/g2^23 + t^8.511/(g1^2*g2^12) - (g1^2*t^8.537)/g2^8 - 3*g2^3*t^8.543 + (2*g2^14*t^8.548)/g1^2 + (g2^25*t^8.553)/g1^4 + (2*t^8.744)/g2^18 + t^8.749/(g1^2*g2^7) + (g2^4*t^8.754)/g1^4 + (g2^19*t^8.786)/g1^2 + (3*t^8.982)/g2^13 + (2*t^8.987)/(g1^2*g2^2) + (2*g2^9*t^8.992)/g1^4 + (g2^20*t^8.997)/g1^6 - t^4.152/(g2*y) - t^6.22/(g2^8*y) - t^6.457/(g2^3*y) - (g2^8*t^6.463)/(g1^2*y) + t^7.372/(g2^9*y) + (g2^2*t^7.377)/(g1^2*y) + t^7.61/(g2^4*y) + (g2^7*t^7.615)/(g1^2*y) + (g1^2*t^7.842)/(g2^10*y) + (2*g2*t^7.848)/y + (g2^12*t^7.853)/(g1^2*y) + (g2^6*t^8.085)/y - t^8.287/(g2^15*y) + t^8.762/(g2^5*y) + (2*g2^6*t^8.767)/(g1^2*y) + (g1^2*t^8.995)/(g2^11*y) - (t^4.152*y)/g2 - (t^6.22*y)/g2^8 - (t^6.457*y)/g2^3 - (g2^8*t^6.463*y)/g1^2 + (t^7.372*y)/g2^9 + (g2^2*t^7.377*y)/g1^2 + (t^7.61*y)/g2^4 + (g2^7*t^7.615*y)/g1^2 + (g1^2*t^7.842*y)/g2^10 + 2*g2*t^7.848*y + (g2^12*t^7.853*y)/g1^2 + g2^6*t^8.085*y - (t^8.287*y)/g2^15 + (t^8.762*y)/g2^5 + (2*g2^6*t^8.767*y)/g1^2 + (g1^2*t^8.995*y)/g2^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3261 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.6311 | 0.7832 | 0.8057 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4, 0.7651], q:[0.4175, 0.7825], qb:[0.3825, 0.8175], phi:[0.4]] | t^2.295 + 3*t^2.4 + 2*t^3.495 + 2*t^3.6 + t^3.705 + t^4.59 + 3*t^4.695 + 7*t^4.8 + 2*t^5.79 + 6*t^5.895 + 2*t^6. - t^4.2/y - t^4.2*y | detail | |
| 3260 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 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]] | 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 - t^4.153/y - t^4.153*y | detail | |
| 3262 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6567 | 0.8254 | 0.7956 | [X:[1.6174], M:[0.8522, 0.6781, 1.1478, 0.3826, 0.7705, 0.7652], q:[0.4234, 0.7243], qb:[0.4288, 0.8931], phi:[0.3826]] | t^2.034 + 2*t^2.296 + t^2.312 + t^2.557 + t^3.443 + t^3.459 + t^3.72 + t^3.95 + t^4.069 + 2*t^4.33 + t^4.346 + 4*t^4.591 + 2*t^4.607 + t^4.623 + 3*t^4.852 + t^4.868 + t^5.113 + t^5.478 + t^5.494 + t^5.739 + 3*t^5.755 + t^5.771 - 2*t^6. - t^4.148/y - t^4.148*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1746 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.6212 | 0.7607 | 0.8166 | [X:[1.6162], M:[0.8487, 0.6865, 1.1513, 0.3838], 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 |