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 |
|---|---|---|---|---|---|---|---|---|---|
| 1886 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.6188 | 0.8048 | 0.7688 | [M:[0.9605, 1.1186, 0.9605, 0.8814, 0.7006], q:[0.7401, 0.2994], qb:[0.4802, 0.4012], phi:[0.5198]] | [M:[[4], [-12], [4], [12], [5]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$ | -1 | 2*t^2.102 + t^2.339 + t^2.644 + 2*t^2.881 + t^3.356 + t^3.424 + 2*t^3.661 + t^3.966 + 4*t^4.204 + 3*t^4.441 + t^4.678 + 2*t^4.746 + 5*t^4.983 + 2*t^5.22 + t^5.289 + t^5.457 + 4*t^5.526 + 6*t^5.763 - t^6. + 3*t^6.068 - t^6.237 + 9*t^6.305 + 6*t^6.543 + t^6.611 + t^6.711 + 6*t^6.848 + 11*t^7.085 - t^7.254 + 5*t^7.322 + 3*t^7.39 - t^7.559 + 10*t^7.628 - 2*t^7.796 + 11*t^7.865 + 2*t^7.933 - 2*t^8.102 + 8*t^8.17 - 6*t^8.339 + 17*t^8.407 - 3*t^8.576 + 10*t^8.644 + 3*t^8.713 + t^8.813 - 7*t^8.881 + 13*t^8.95 - t^4.559/y - t^6.661/y + t^7.204/y + t^7.441/y + t^7.678/y + (2*t^7.746)/y + (5*t^7.983)/y + (2*t^8.22)/y + (3*t^8.457)/y + (4*t^8.526)/y + t^8.695/y + (5*t^8.763)/y - t^4.559*y - t^6.661*y + t^7.204*y + t^7.441*y + t^7.678*y + 2*t^7.746*y + 5*t^7.983*y + 2*t^8.22*y + 3*t^8.457*y + 4*t^8.526*y + t^8.695*y + 5*t^8.763*y | 2*g1^5*t^2.102 + t^2.339/g1^3 + g1^12*t^2.644 + 2*g1^4*t^2.881 + t^3.356/g1^12 + g1^11*t^3.424 + 2*g1^3*t^3.661 + g1^18*t^3.966 + 4*g1^10*t^4.204 + 3*g1^2*t^4.441 + t^4.678/g1^6 + 2*g1^17*t^4.746 + 5*g1^9*t^4.983 + 2*g1*t^5.22 + g1^24*t^5.289 + t^5.457/g1^7 + 4*g1^16*t^5.526 + 6*g1^8*t^5.763 - t^6. + 3*g1^23*t^6.068 - t^6.237/g1^8 + 9*g1^15*t^6.305 + 6*g1^7*t^6.543 + g1^30*t^6.611 + t^6.711/g1^24 + 6*g1^22*t^6.848 + 11*g1^14*t^7.085 - t^7.254/g1^17 + 5*g1^6*t^7.322 + 3*g1^29*t^7.39 - t^7.559/g1^2 + 10*g1^21*t^7.628 - (2*t^7.796)/g1^10 + 11*g1^13*t^7.865 + 2*g1^36*t^7.933 - 2*g1^5*t^8.102 + 8*g1^28*t^8.17 - (6*t^8.339)/g1^3 + 17*g1^20*t^8.407 - (3*t^8.576)/g1^11 + 10*g1^12*t^8.644 + 3*g1^35*t^8.713 + t^8.813/g1^19 - 7*g1^4*t^8.881 + 13*g1^27*t^8.95 - t^4.559/(g1^2*y) - (g1^3*t^6.661)/y + (g1^10*t^7.204)/y + (g1^2*t^7.441)/y + t^7.678/(g1^6*y) + (2*g1^17*t^7.746)/y + (5*g1^9*t^7.983)/y + (2*g1*t^8.22)/y + (3*t^8.457)/(g1^7*y) + (4*g1^16*t^8.526)/y + t^8.695/(g1^15*y) + (5*g1^8*t^8.763)/y - (t^4.559*y)/g1^2 - g1^3*t^6.661*y + g1^10*t^7.204*y + g1^2*t^7.441*y + (t^7.678*y)/g1^6 + 2*g1^17*t^7.746*y + 5*g1^9*t^7.983*y + 2*g1*t^8.22*y + (3*t^8.457*y)/g1^7 + 4*g1^16*t^8.526*y + (t^8.695*y)/g1^15 + 5*g1^8*t^8.763*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 |
|---|---|---|---|---|---|---|---|---|
| 2906 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{5}$ | 0.5384 | 0.6891 | 0.7813 | [M:[1.0588, 0.8235, 1.0588, 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^3.176 + t^3.529 + 2*t^3.882 + 2*t^4.235 + 3*t^4.588 + 6*t^4.941 + 3*t^5.294 + 4*t^5.647 - t^4.412/y - t^4.412*y | detail | {a: 42321/78608, c: 27085/39304, M1: 18/17, M2: 14/17, M3: 18/17, M4: 20/17, M5: 14/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
| 2908 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6396 | 0.8457 | 0.7563 | [M:[0.9614, 1.1157, 0.9614, 0.8843, 0.7018, 0.6736], q:[0.7404, 0.2982], qb:[0.4807, 0.4036], phi:[0.5193]] | t^2.021 + 2*t^2.105 + t^2.337 + t^2.653 + 2*t^2.884 + t^3.347 + t^3.432 + 2*t^3.663 + t^4.042 + 2*t^4.126 + 4*t^4.211 + t^4.358 + 3*t^4.442 + 2*t^4.674 + 2*t^4.758 + 2*t^4.905 + 5*t^4.99 + 2*t^5.221 + t^5.306 + t^5.368 + 2*t^5.453 + 4*t^5.537 + 2*t^5.684 + 6*t^5.769 - t^6. - t^4.558/y - t^4.558*y | detail | |
| 2907 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6323 | 0.8253 | 0.7662 | [M:[0.971, 1.0869, 0.971, 0.9131, 0.7138, 0.8297], q:[0.7428, 0.2862], qb:[0.4855, 0.4276], phi:[0.5145]] | 2*t^2.141 + t^2.315 + t^2.489 + t^2.739 + 2*t^2.913 + t^3.261 + 2*t^3.685 + t^4.109 + 4*t^4.283 + 3*t^4.457 + 3*t^4.63 + t^4.804 + 2*t^4.881 + t^4.978 + 5*t^5.054 + 3*t^5.228 + 3*t^5.402 + t^5.478 + 2*t^5.652 + t^5.75 + 5*t^5.826 - t^6. - t^4.543/y - t^4.543*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 |