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 |
|---|---|---|---|---|---|---|---|---|---|
| 993 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ | 0.7055 | 0.8657 | 0.8149 | [M:[1.0376, 0.878, 0.9624, 0.9531, 1.0469, 0.9531], q:[0.5235, 0.439], qb:[0.5141, 0.6079], phi:[0.4789]] | [M:[[12, 4], [-16, -16], [-12, -4], [8, -8], [-8, 8], [8, -8]], q:[[-4, 4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-1, -3]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -3 | t^2.634 + 2*t^2.859 + t^2.873 + t^2.887 + t^3.113 + t^3.394 + t^4.071 + t^4.296 + t^4.324 + t^4.521 + t^4.549 + 2*t^4.577 + t^4.803 + t^4.831 + t^5.084 + t^5.268 + t^5.493 + t^5.507 + t^5.521 + 2*t^5.719 + 2*t^5.733 + 2*t^5.747 + t^5.761 + t^5.972 + t^5.986 - 3*t^6. - t^6.253 + t^6.267 + t^6.704 + t^6.788 + 2*t^6.93 + t^6.944 + 2*t^6.958 + 2*t^7.155 + t^7.169 + 2*t^7.183 + 2*t^7.211 + 2*t^7.381 + t^7.395 + 2*t^7.409 + 2*t^7.437 + t^7.451 + 2*t^7.465 + t^7.634 - t^7.648 + t^7.662 + t^7.69 - t^7.704 + t^7.718 + t^7.902 + t^7.915 - t^7.929 + t^7.943 + 2*t^7.972 + t^8.127 + 2*t^8.141 + t^8.155 + t^8.197 - t^8.211 + t^8.225 + t^8.352 + 2*t^8.366 + t^8.38 + 2*t^8.394 + t^8.478 + 2*t^8.578 + 3*t^8.592 + 2*t^8.606 + 3*t^8.62 - 3*t^8.634 + 2*t^8.648 + t^8.817 + 2*t^8.845 - 5*t^8.859 - t^8.873 - 6*t^8.887 + 2*t^8.901 - t^4.437/y - t^7.071/y - t^7.296/y - t^7.31/y + t^7.563/y + t^7.577/y + t^7.803/y + (2*t^8.493)/y + t^8.507/y + t^8.521/y + t^8.719/y + (2*t^8.733)/y + (3*t^8.747)/y + t^8.761/y + (2*t^8.972)/y + t^8.986/y - t^4.437*y - t^7.071*y - t^7.296*y - t^7.31*y + t^7.563*y + t^7.577*y + t^7.803*y + 2*t^8.493*y + t^8.507*y + t^8.521*y + t^8.719*y + 2*t^8.733*y + 3*t^8.747*y + t^8.761*y + 2*t^8.972*y + t^8.986*y | t^2.634/(g1^16*g2^16) + (2*g1^8*t^2.859)/g2^8 + t^2.873/(g1^2*g2^6) + t^2.887/(g1^12*g2^4) + g1^12*g2^4*t^3.113 + (g2^20*t^3.394)/g1^4 + t^4.071/(g1^17*g2^19) + (g1^7*t^4.296)/g2^11 + t^4.324/(g1^13*g2^7) + (g1^31*t^4.521)/g2^3 + g1^11*g2*t^4.549 + (2*g2^5*t^4.577)/g1^9 + g1^15*g2^13*t^4.803 + (g2^17*t^4.831)/g1^5 + (g2^29*t^5.084)/g1 + t^5.268/(g1^32*g2^32) + t^5.493/(g1^8*g2^24) + t^5.507/(g1^18*g2^22) + t^5.521/(g1^28*g2^20) + (2*g1^16*t^5.719)/g2^16 + (2*g1^6*t^5.733)/g2^14 + (2*t^5.747)/(g1^4*g2^12) + t^5.761/(g1^14*g2^10) + (g1^20*t^5.972)/g2^4 + (g1^10*t^5.986)/g2^2 - 3*t^6. - g1^4*g2^12*t^6.253 + (g2^14*t^6.267)/g1^6 + t^6.704/(g1^33*g2^35) + (g2^40*t^6.788)/g1^8 + (2*t^6.93)/(g1^9*g2^27) + t^6.944/(g1^19*g2^25) + (2*t^6.958)/(g1^29*g2^23) + (2*g1^15*t^7.155)/g2^19 + (g1^5*t^7.169)/g2^17 + (2*t^7.183)/(g1^5*g2^15) + (2*t^7.211)/(g1^25*g2^11) + (2*g1^39*t^7.381)/g2^11 + (g1^29*t^7.395)/g2^9 + (2*g1^19*t^7.409)/g2^7 + (2*t^7.437)/(g1*g2^3) + t^7.451/(g1^11*g2) + (2*g2*t^7.465)/g1^21 + g1^43*g2*t^7.634 - g1^33*g2^3*t^7.648 + g1^23*g2^5*t^7.662 + g1^3*g2^9*t^7.69 - (g2^11*t^7.704)/g1^7 + (g2^13*t^7.718)/g1^17 + t^7.902/(g1^48*g2^48) + g1^27*g2^17*t^7.915 - g1^17*g2^19*t^7.929 + g1^7*g2^21*t^7.943 + (2*g2^25*t^7.972)/g1^13 + t^8.127/(g1^24*g2^40) + (2*t^8.141)/(g1^34*g2^38) + t^8.155/(g1^44*g2^36) + g1^11*g2^33*t^8.197 - g1*g2^35*t^8.211 + (g2^37*t^8.225)/g1^9 + t^8.352/g2^32 + (2*t^8.366)/(g1^10*g2^30) + t^8.38/(g1^20*g2^28) + (2*t^8.394)/(g1^30*g2^26) + (g2^49*t^8.478)/g1^5 + (2*g1^24*t^8.578)/g2^24 + (3*g1^14*t^8.592)/g2^22 + (2*g1^4*t^8.606)/g2^20 + (3*t^8.62)/(g1^6*g2^18) - (3*t^8.634)/(g1^16*g2^16) + (2*t^8.648)/(g1^26*g2^14) + (g1^38*t^8.817)/g2^14 + (2*g1^18*t^8.845)/g2^10 - (5*g1^8*t^8.859)/g2^8 - t^8.873/(g1^2*g2^6) - (6*t^8.887)/(g1^12*g2^4) + (2*t^8.901)/(g1^22*g2^2) - t^4.437/(g1*g2^3*y) - t^7.071/(g1^17*g2^19*y) - (g1^7*t^7.296)/(g2^11*y) - t^7.31/(g1^3*g2^9*y) + (g1*g2^3*t^7.563)/y + (g2^5*t^7.577)/(g1^9*y) + (g1^15*g2^13*t^7.803)/y + (2*t^8.493)/(g1^8*g2^24*y) + t^8.507/(g1^18*g2^22*y) + t^8.521/(g1^28*g2^20*y) + (g1^16*t^8.719)/(g2^16*y) + (2*g1^6*t^8.733)/(g2^14*y) + (3*t^8.747)/(g1^4*g2^12*y) + t^8.761/(g1^14*g2^10*y) + (2*g1^20*t^8.972)/(g2^4*y) + (g1^10*t^8.986)/(g2^2*y) - (t^4.437*y)/(g1*g2^3) - (t^7.071*y)/(g1^17*g2^19) - (g1^7*t^7.296*y)/g2^11 - (t^7.31*y)/(g1^3*g2^9) + g1*g2^3*t^7.563*y + (g2^5*t^7.577*y)/g1^9 + g1^15*g2^13*t^7.803*y + (2*t^8.493*y)/(g1^8*g2^24) + (t^8.507*y)/(g1^18*g2^22) + (t^8.521*y)/(g1^28*g2^20) + (g1^16*t^8.719*y)/g2^16 + (2*g1^6*t^8.733*y)/g2^14 + (3*t^8.747*y)/(g1^4*g2^12) + (t^8.761*y)/(g1^14*g2^10) + (2*g1^20*t^8.972*y)/g2^4 + (g1^10*t^8.986*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1567 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{7}$ | 0.71 | 0.8743 | 0.8121 | [M:[1.0587, 0.8481, 0.9413, 0.9655, 1.0345, 0.9655, 0.9413], q:[0.5172, 0.424], qb:[0.5415, 0.6105], phi:[0.4767]] | t^2.544 + 2*t^2.824 + t^2.86 + 2*t^2.897 + t^3.383 + t^3.974 + t^4.254 + t^4.327 + 2*t^4.534 + t^4.606 + t^4.679 + t^4.813 + t^4.886 + t^5.088 + t^5.093 + 2*t^5.368 + t^5.404 + t^5.441 + 2*t^5.648 + 2*t^5.684 + 3*t^5.72 + 2*t^5.757 + 2*t^5.793 - 4*t^6. - t^4.43/y - t^4.43*y | detail | |
| 2105 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6038 | 0.7739 | 0.7802 | [M:[1.0166, 0.6882, 0.9834, 0.7214, 1.2786, 0.7214], q:[0.6393, 0.3441], qb:[0.3773, 0.9345], phi:[0.4262]] | t^2.065 + 2*t^2.164 + t^2.557 + t^2.95 + t^3.05 + t^3.343 + t^3.443 + t^3.542 + t^4.129 + 2*t^4.229 + 3*t^4.328 + t^4.622 + 3*t^4.721 + t^5.015 + 4*t^5.114 + 2*t^5.214 + t^5.408 + 3*t^5.507 + 3*t^5.607 + 2*t^5.707 + t^5.9 - t^6. - t^4.279/y - t^4.279*y | detail | |
| 2106 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6433 | 0.803 | 0.801 | [M:[1.1981, 0.7264, 0.8019, 1.1226, 0.8774, 1.1226], q:[0.4387, 0.3632], qb:[0.7594, 0.5142], phi:[0.4811]] | t^2.179 + t^2.406 + t^2.859 + t^2.887 + 2*t^3.368 + t^3.594 + t^3.622 + t^3.849 + 2*t^4.076 + t^4.302 + t^4.358 + t^4.529 + t^4.585 + t^4.811 + t^5.038 + t^5.066 + t^5.264 + t^5.292 + t^5.547 + t^5.717 + t^5.745 + 2*t^5.773 + t^5.802 - 2*t^6. - t^4.443/y - t^4.443*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 |
|---|---|---|---|---|---|---|---|---|---|
| 611 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ | 0.7024 | 0.8607 | 0.8161 | [M:[1.0504, 0.8793, 0.9496, 0.98, 1.02], q:[0.51, 0.4396], qb:[0.5404, 0.5803], phi:[0.4824]] | t^2.638 + t^2.849 + t^2.894 + t^2.94 + t^3.06 + t^3.151 + t^3.271 + t^4.085 + t^4.296 + t^4.387 + 2*t^4.507 + t^4.598 + t^4.69 + t^4.718 + t^4.809 + t^4.929 + t^5.276 + t^5.487 + t^5.532 + t^5.698 + t^5.743 + t^5.789 + t^5.835 + t^5.909 + t^5.954 - 2*t^6. - t^4.447/y - t^4.447*y | detail |