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 |
|---|---|---|---|---|---|---|---|---|---|
| 584 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.6993 | 0.8588 | 0.8143 | [M:[0.9384, 1.0205, 1.0616, 0.8973, 0.9795], q:[0.488, 0.5736], qb:[0.4504, 0.5291], phi:[0.4897]] | [M:[[6, 6], [-2, -2], [-6, -6], [10, 10], [2, 2]], q:[[4, 6], [-10, -12]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.692 + t^2.815 + 2*t^2.938 + t^3.051 + t^3.072 + t^3.185 + t^4.171 + t^4.284 + t^4.397 + t^4.408 + t^4.52 + t^4.541 + t^4.644 + t^4.654 + t^4.777 + t^4.911 + t^5.384 + t^5.507 + 2*t^5.63 + 2*t^5.754 + 3*t^5.877 + 2*t^5.99 - 3*t^6. + 2*t^6.01 + t^6.103 - t^6.113 + t^6.123 - t^6.134 + t^6.144 + t^6.863 + t^6.976 + t^6.987 + t^7.089 + t^7.1 + 2*t^7.11 + t^7.212 + 3*t^7.223 - t^7.233 + t^7.243 + 3*t^7.336 + t^7.346 + t^7.356 + t^7.449 + 2*t^7.459 - t^7.469 + 2*t^7.48 + t^7.572 + t^7.582 + 2*t^7.592 - t^7.603 + t^7.613 + t^7.695 - t^7.705 + t^7.716 + t^7.726 + t^7.829 - t^7.839 + 2*t^7.849 + t^7.962 - t^7.972 + t^7.983 + t^8.076 + t^8.096 + t^8.199 + 2*t^8.322 + t^8.343 + 2*t^8.446 + t^8.456 + 4*t^8.569 + t^8.682 + t^8.692 - t^8.702 + t^8.713 + t^8.795 + t^8.826 + t^8.918 + 2*t^8.928 - 7*t^8.938 + 3*t^8.949 - t^4.469/y - t^7.161/y - t^7.408/y + t^7.531/y + t^7.777/y + t^8.507/y + (2*t^8.63)/y + t^8.743/y + (2*t^8.754)/y + t^8.764/y + t^8.866/y + (2*t^8.877)/y + t^8.887/y + (2*t^8.99)/y - t^4.469*y - t^7.161*y - t^7.408*y + t^7.531*y + t^7.777*y + t^8.507*y + 2*t^8.63*y + t^8.743*y + 2*t^8.754*y + t^8.764*y + t^8.866*y + 2*t^8.877*y + t^8.887*y + 2*t^8.99*y | g1^10*g2^10*t^2.692 + g1^6*g2^6*t^2.815 + 2*g1^2*g2^2*t^2.938 + g1^4*g2^8*t^3.051 + t^3.072/(g1^8*g2^12) + t^3.185/(g1^6*g2^6) + g1^5*g2*t^4.171 + g1^7*g2^7*t^4.284 + g1^9*g2^13*t^4.397 + g1^3*g2^3*t^4.408 + g1^5*g2^9*t^4.52 + t^4.541/(g1^7*g2^11) + g1*g2^5*t^4.644 + t^4.654/(g1^5*g2^5) + t^4.777/(g1^9*g2^9) + t^4.911/(g1^19*g2^23) + g1^20*g2^20*t^5.384 + g1^16*g2^16*t^5.507 + 2*g1^12*g2^12*t^5.63 + 2*g1^8*g2^8*t^5.754 + 3*g1^4*g2^4*t^5.877 + 2*g1^6*g2^10*t^5.99 - 3*t^6. + (2*t^6.01)/(g1^6*g2^10) + g1^8*g2^16*t^6.103 - g1^2*g2^6*t^6.113 + t^6.123/(g1^4*g2^4) - t^6.134/(g1^10*g2^14) + t^6.144/(g1^16*g2^24) + g1^15*g2^11*t^6.863 + g1^17*g2^17*t^6.976 + g1^11*g2^7*t^6.987 + g1^19*g2^23*t^7.089 + g1^13*g2^13*t^7.1 + 2*g1^7*g2^3*t^7.11 + g1^15*g2^19*t^7.212 + 3*g1^9*g2^9*t^7.223 - (g1^3*t^7.233)/g2 + t^7.243/(g1^3*g2^11) + 3*g1^11*g2^15*t^7.336 + g1^5*g2^5*t^7.346 + t^7.356/(g1*g2^5) + g1^13*g2^21*t^7.449 + 2*g1^7*g2^11*t^7.459 - g1*g2*t^7.469 + (2*t^7.48)/(g1^5*g2^9) + g1^9*g2^17*t^7.572 + g1^3*g2^7*t^7.582 + (2*t^7.592)/(g1^3*g2^3) - t^7.603/(g1^9*g2^13) + t^7.613/(g1^15*g2^23) + g1^5*g2^13*t^7.695 - (g2^3*t^7.705)/g1 + t^7.716/(g1^7*g2^7) + t^7.726/(g1^13*g2^17) + t^7.829/(g1^5*g2) - t^7.839/(g1^11*g2^11) + (2*t^7.849)/(g1^17*g2^21) + t^7.962/(g1^15*g2^15) - t^7.972/(g1^21*g2^25) + t^7.983/(g1^27*g2^35) + g1^30*g2^30*t^8.076 + t^8.096/(g1^25*g2^29) + g1^26*g2^26*t^8.199 + 2*g1^22*g2^22*t^8.322 + g1^10*g2^2*t^8.343 + 2*g1^18*g2^18*t^8.446 + g1^12*g2^8*t^8.456 + 4*g1^14*g2^14*t^8.569 + g1^16*g2^20*t^8.682 + g1^10*g2^10*t^8.692 - g1^4*t^8.702 + t^8.713/(g1^2*g2^10) + g1^18*g2^26*t^8.795 + t^8.826/g2^4 + g1^14*g2^22*t^8.918 + 2*g1^8*g2^12*t^8.928 - 7*g1^2*g2^2*t^8.938 + (3*t^8.949)/(g1^4*g2^8) - (g1*g2*t^4.469)/y - (g1^11*g2^11*t^7.161)/y - (g1^3*g2^3*t^7.408)/y + t^7.531/(g1*g2*y) + t^7.777/(g1^9*g2^9*y) + (g1^16*g2^16*t^8.507)/y + (2*g1^12*g2^12*t^8.63)/y + (g1^14*g2^18*t^8.743)/y + (2*g1^8*g2^8*t^8.754)/y + (g1^2*t^8.764)/(g2^2*y) + (g1^10*g2^14*t^8.866)/y + (2*g1^4*g2^4*t^8.877)/y + t^8.887/(g1^2*g2^6*y) + (2*g1^6*g2^10*t^8.99)/y - g1*g2*t^4.469*y - g1^11*g2^11*t^7.161*y - g1^3*g2^3*t^7.408*y + (t^7.531*y)/(g1*g2) + (t^7.777*y)/(g1^9*g2^9) + g1^16*g2^16*t^8.507*y + 2*g1^12*g2^12*t^8.63*y + g1^14*g2^18*t^8.743*y + 2*g1^8*g2^8*t^8.754*y + (g1^2*t^8.764*y)/g2^2 + g1^10*g2^14*t^8.866*y + 2*g1^4*g2^4*t^8.877*y + (t^8.887*y)/(g1^2*g2^6) + 2*g1^6*g2^10*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 1941 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.5568 | 0.7209 | 0.7723 | [M:[0.8489, 1.0504, 1.1511, 0.7481, 0.9496], q:[0.6618, 0.4893], qb:[0.187, 0.7626], phi:[0.4748]] | t^2.029 + t^2.244 + 2*t^2.547 + 2*t^2.849 + 2*t^3.453 + t^3.971 + t^4.058 + 2*t^4.273 + t^4.36 + t^4.489 + t^4.576 + 2*t^4.791 + 3*t^4.878 + 4*t^5.093 + 5*t^5.395 + t^5.482 + 3*t^5.698 - t^4.424/y - t^4.424*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 |
|---|---|---|---|---|---|---|---|---|---|
| 366 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6975 | 0.8554 | 0.8154 | [M:[0.9458, 1.0181, 1.0542, 0.9096], q:[0.4896, 0.5646], qb:[0.4562, 0.5258], phi:[0.491]] | t^2.729 + t^2.837 + t^2.946 + t^3.046 + t^3.054 + t^3.062 + t^3.163 + t^4.21 + t^4.31 + t^4.411 + t^4.419 + t^4.519 + t^4.535 + t^4.628 + t^4.636 + t^4.744 + t^4.86 + t^5.458 + t^5.566 + t^5.675 + 2*t^5.783 + 2*t^5.892 + t^5.992 - 2*t^6. - t^4.473/y - t^4.473*y | detail |