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 |
|---|---|---|---|---|---|---|---|---|---|
| 1885 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.616 | 0.7963 | 0.7736 | [M:[0.964, 1.108, 0.964, 0.892, 0.777], q:[0.741, 0.295], qb:[0.41, 0.482], phi:[0.518]] | [M:[[4], [-12], [4], [12], [-3]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0 | t^2.115 + 2*t^2.331 + t^2.676 + 2*t^2.892 + t^3.324 + t^3.453 + t^3.669 + t^3.885 + t^4.014 + 2*t^4.23 + 3*t^4.446 + 3*t^4.662 + t^4.791 + 4*t^5.007 + 4*t^5.223 + t^5.352 + 3*t^5.568 + t^5.655 + 4*t^5.784 + 2*t^6.129 + t^6.216 + 5*t^6.345 + 4*t^6.561 + t^6.648 + t^6.69 + 4*t^6.777 + 4*t^6.906 + 2*t^6.993 + 6*t^7.122 + 6*t^7.338 + 2*t^7.467 + 3*t^7.554 + 6*t^7.683 - t^7.77 + 7*t^7.899 + t^7.986 + 2*t^8.028 + 3*t^8.115 + 5*t^8.244 - 4*t^8.331 + 9*t^8.46 - t^8.547 + 7*t^8.676 + 2*t^8.805 - 2*t^8.892 + t^8.979 - t^4.554/y - t^6.885/y + t^7.446/y + (2*t^7.662)/y + t^7.791/y + (4*t^8.007)/y + (5*t^8.223)/y + t^8.439/y + (3*t^8.568)/y + (2*t^8.655)/y + (4*t^8.784)/y - t^4.554*y - t^6.885*y + t^7.446*y + 2*t^7.662*y + t^7.791*y + 4*t^8.007*y + 5*t^8.223*y + t^8.439*y + 3*t^8.568*y + 2*t^8.655*y + 4*t^8.784*y | g1^5*t^2.115 + (2*t^2.331)/g1^3 + g1^12*t^2.676 + 2*g1^4*t^2.892 + t^3.324/g1^12 + g1^11*t^3.453 + g1^3*t^3.669 + t^3.885/g1^5 + g1^18*t^4.014 + 2*g1^10*t^4.23 + 3*g1^2*t^4.446 + (3*t^4.662)/g1^6 + g1^17*t^4.791 + 4*g1^9*t^5.007 + 4*g1*t^5.223 + g1^24*t^5.352 + 3*g1^16*t^5.568 + t^5.655/g1^15 + 4*g1^8*t^5.784 + 2*g1^23*t^6.129 + t^6.216/g1^8 + 5*g1^15*t^6.345 + 4*g1^7*t^6.561 + t^6.648/g1^24 + g1^30*t^6.69 + (4*t^6.777)/g1 + 4*g1^22*t^6.906 + (2*t^6.993)/g1^9 + 6*g1^14*t^7.122 + 6*g1^6*t^7.338 + 2*g1^29*t^7.467 + (3*t^7.554)/g1^2 + 6*g1^21*t^7.683 - t^7.77/g1^10 + 7*g1^13*t^7.899 + t^7.986/g1^18 + 2*g1^36*t^8.028 + 3*g1^5*t^8.115 + 5*g1^28*t^8.244 - (4*t^8.331)/g1^3 + 9*g1^20*t^8.46 - t^8.547/g1^11 + 7*g1^12*t^8.676 + 2*g1^35*t^8.805 - 2*g1^4*t^8.892 + t^8.979/g1^27 - t^4.554/(g1^2*y) - t^6.885/(g1^5*y) + (g1^2*t^7.446)/y + (2*t^7.662)/(g1^6*y) + (g1^17*t^7.791)/y + (4*g1^9*t^8.007)/y + (5*g1*t^8.223)/y + t^8.439/(g1^7*y) + (3*g1^16*t^8.568)/y + (2*t^8.655)/(g1^15*y) + (4*g1^8*t^8.784)/y - (t^4.554*y)/g1^2 - (t^6.885*y)/g1^5 + g1^2*t^7.446*y + (2*t^7.662*y)/g1^6 + g1^17*t^7.791*y + 4*g1^9*t^8.007*y + 5*g1*t^8.223*y + (t^8.439*y)/g1^7 + 3*g1^16*t^8.568*y + (2*t^8.655*y)/g1^15 + 4*g1^8*t^8.784*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 |
|---|---|---|---|---|---|---|---|---|
| 2903 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.5438 | 0.7019 | 0.7748 | [M:[1.0588, 0.8235, 1.0588, 1.1765, 0.7059], q:[0.7647, 0.1765], qb:[0.6471, 0.5294], phi:[0.4706]] | 2*t^2.118 + 2*t^2.471 + 2*t^3.176 + 2*t^3.529 + t^3.882 + 4*t^4.235 + 4*t^4.588 + 3*t^4.941 + 5*t^5.294 + 5*t^5.647 + t^6. - t^4.412/y - t^4.412*y | detail | {a: 42747/78608, c: 27587/39304, M1: 18/17, M2: 14/17, M3: 18/17, M4: 20/17, M5: 12/17, q1: 13/17, q2: 3/17, qb1: 11/17, qb2: 9/17, phi1: 8/17} |
| 2904 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6303 | 0.8194 | 0.7692 | [M:[0.9745, 1.0764, 0.9745, 0.9236, 0.7691, 0.82], q:[0.7436, 0.2818], qb:[0.4363, 0.4873], phi:[0.5127]] | t^2.154 + 2*t^2.307 + t^2.46 + t^2.771 + 2*t^2.924 + t^3.229 + t^3.693 + t^3.846 + t^4.156 + 2*t^4.309 + 3*t^4.462 + 4*t^4.615 + 2*t^4.767 + t^4.92 + t^4.925 + 4*t^5.078 + 5*t^5.231 + 2*t^5.384 + t^5.537 + t^5.542 + t^5.689 + 2*t^5.694 + 2*t^5.847 - t^4.538/y - t^4.538*y | detail | |
| 2905 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6338 | 0.8277 | 0.7658 | [M:[0.9662, 1.1014, 0.9662, 0.8986, 0.7754, 0.7754], q:[0.7415, 0.2923], qb:[0.4155, 0.4831], phi:[0.5169]] | t^2.123 + 3*t^2.326 + t^2.696 + 2*t^2.899 + t^3.304 + t^3.471 + t^3.877 + t^4.043 + 2*t^4.246 + 4*t^4.449 + 6*t^4.652 + t^4.819 + 5*t^5.022 + 6*t^5.225 + t^5.391 + 3*t^5.594 + 2*t^5.63 + 4*t^5.797 - 2*t^6. - t^4.551/y - t^4.551*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 |
|---|---|---|---|---|---|---|---|---|---|
| 545 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6216 | 0.8089 | 0.7684 | [M:[0.9496, 1.1511, 0.9496, 0.8489, 0.7292], q:[0.7374, 0.313], qb:[0.4326, 0.4162], phi:[0.5252]] | 2*t^2.188 + t^2.237 + t^2.547 + 2*t^2.849 + t^3.453 + t^3.461 + t^3.51 + t^3.763 + t^4.073 + t^4.122 + t^4.171 + 3*t^4.375 + 2*t^4.424 + t^4.474 + 2*t^4.734 + t^4.783 + 4*t^5.036 + 2*t^5.086 + t^5.093 + 2*t^5.395 + t^5.641 + 2*t^5.649 + 5*t^5.698 + t^5.747 + t^5.951 - 2*t^6. - t^4.576/y - t^4.576*y | detail |