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 |
|---|---|---|---|---|---|---|---|---|---|
| 846 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ | 0.5509 | 0.7087 | 0.7773 | [M:[1.0508, 0.8475, 0.9492, 1.1525, 0.8475], q:[0.7627, 0.1865], qb:[0.4915, 0.661], phi:[0.4746]] | [M:[[-4], [12], [4], [-12], [12]], q:[[-1], [5]], qb:[[-19], [7]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$ | -1 | t^2.034 + 3*t^2.543 + 2*t^2.848 + t^3.457 + t^3.762 + t^3.966 + t^4.067 + t^4.271 + t^4.372 + 2*t^4.576 + 3*t^4.881 + 5*t^5.085 + 7*t^5.39 + t^5.695 + t^5.796 - t^6. + t^6.101 + 3*t^6.305 + t^6.406 + t^6.509 + 2*t^6.61 + 3*t^6.814 + 3*t^6.915 + 2*t^7.119 + 2*t^7.22 + 3*t^7.424 + 7*t^7.628 + 2*t^7.729 + 2*t^7.83 + 12*t^7.933 - 3*t^8.034 + 2*t^8.135 + 5*t^8.238 + t^8.44 - 7*t^8.543 + 3*t^8.644 + t^8.745 - 3*t^8.848 + 2*t^8.949 - t^4.424/y - t^6.966/y - t^7.271/y + (4*t^7.576)/y + (3*t^7.881)/y + (3*t^8.085)/y + (6*t^8.39)/y + t^8.491/y + t^8.695/y + t^8.796/y - t^4.424*y - t^6.966*y - t^7.271*y + 4*t^7.576*y + 3*t^7.881*y + 3*t^8.085*y + 6*t^8.39*y + t^8.491*y + t^8.695*y + t^8.796*y | t^2.034/g1^14 + 3*g1^12*t^2.543 + 2*g1^4*t^2.848 + t^3.457/g1^12 + t^3.762/g1^20 + g1^14*t^3.966 + t^4.067/g1^28 + g1^6*t^4.271 + t^4.372/g1^36 + (2*t^4.576)/g1^2 + (3*t^4.881)/g1^10 + 5*g1^24*t^5.085 + 7*g1^16*t^5.39 + g1^8*t^5.695 + t^5.796/g1^34 - t^6. + t^6.101/g1^42 + (3*t^6.305)/g1^8 + t^6.406/g1^50 + g1^26*t^6.509 + (2*t^6.61)/g1^16 + 3*g1^18*t^6.814 + (3*t^6.915)/g1^24 + 2*g1^10*t^7.119 + (2*t^7.22)/g1^32 + 3*g1^2*t^7.424 + 7*g1^36*t^7.628 + (2*t^7.729)/g1^6 + (2*t^7.83)/g1^48 + 12*g1^28*t^7.933 - (3*t^8.034)/g1^14 + (2*t^8.135)/g1^56 + 5*g1^20*t^8.238 + t^8.44/g1^64 - 7*g1^12*t^8.543 + (3*t^8.644)/g1^30 + t^8.745/g1^72 - 3*g1^4*t^8.848 + (2*t^8.949)/g1^38 - (g1^2*t^4.424)/y - (g1^14*t^6.966)/y - (g1^6*t^7.271)/y + (4*t^7.576)/(g1^2*y) + (3*t^7.881)/(g1^10*y) + (3*g1^24*t^8.085)/y + (6*g1^16*t^8.39)/y + t^8.491/(g1^26*y) + (g1^8*t^8.695)/y + t^8.796/(g1^34*y) - g1^2*t^4.424*y - g1^14*t^6.966*y - g1^6*t^7.271*y + (4*t^7.576*y)/g1^2 + (3*t^7.881*y)/g1^10 + 3*g1^24*t^8.085*y + 6*g1^16*t^8.39*y + (t^8.491*y)/g1^26 + g1^8*t^8.695*y + (t^8.796*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1340 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.5717 | 0.7497 | 0.7625 | [M:[1.0504, 0.8487, 0.9496, 1.1513, 0.8487, 0.6766], q:[0.7626, 0.1869], qb:[0.4896, 0.6617], phi:[0.4748]] | 2*t^2.03 + 3*t^2.546 + 2*t^2.849 + t^3.454 + t^3.757 + 3*t^4.059 + t^4.273 + t^4.362 + 5*t^4.576 + 5*t^4.878 + 5*t^5.092 + 7*t^5.395 + t^5.484 + t^5.697 + 2*t^5.786 - 2*t^6. - t^4.424/y - t^4.424*y | detail | |
| 2027 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.5704 | 0.7452 | 0.7654 | [M:[1.0541, 0.8377, 0.9459, 1.1623, 0.8377, 0.7295], q:[0.7635, 0.1824], qb:[0.507, 0.6553], phi:[0.473]] | t^2.068 + t^2.189 + 3*t^2.513 + 2*t^2.838 + t^3.487 + t^3.932 + t^4.136 + 2*t^4.257 + t^4.377 + t^4.461 + 2*t^4.581 + 3*t^4.702 + 3*t^4.906 + 7*t^5.026 + 7*t^5.351 + 2*t^5.675 - t^6. - t^4.419/y - t^4.419*y | detail | |
| 2026 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.5493 | 0.7074 | 0.7765 | [M:[1.0588, 0.8235, 0.9412, 1.1765, 0.8235], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | t^2.118 + 3*t^2.471 + 2*t^2.824 + t^3.529 + 2*t^3.882 + 2*t^4.235 + 3*t^4.588 + 8*t^4.941 + 7*t^5.294 + t^5.647 - t^4.412/y - t^4.412*y | detail | {a: 43179/78608, c: 27803/39304, M1: 18/17, M2: 14/17, M3: 16/17, M4: 20/17, M5: 14/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 541 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6135 | 0.7921 | 0.7745 | [M:[0.9638, 1.1086, 1.0362, 0.8914, 0.7321], q:[0.7409, 0.2953], qb:[0.4546, 0.4368], phi:[0.5181]] | 2*t^2.196 + t^2.249 + t^2.674 + 2*t^3.109 + t^3.326 + t^3.533 + t^3.587 + t^3.751 + t^4.175 + t^4.228 + t^4.282 + 3*t^4.392 + 2*t^4.446 + t^4.499 + 2*t^4.87 + t^4.924 + 4*t^5.305 + t^5.348 + 2*t^5.358 + t^5.522 + 2*t^5.73 + 4*t^5.783 + t^5.836 + t^5.947 - 2*t^6. - t^4.554/y - t^4.554*y | detail |