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 |
|---|---|---|---|---|---|---|---|---|---|
| 546 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.594 | 0.7723 | 0.7691 | [M:[0.9215, 1.2355, 0.9215, 0.7645], q:[0.7304, 0.3481], qb:[0.3481, 0.4164], phi:[0.5392]] | [M:[[4], [-12], [4], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$ | ${}M_{2}M_{4}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 3 | t^2.089 + 2*t^2.294 + 2*t^2.765 + t^3.235 + t^3.44 + 3*t^3.706 + 2*t^3.911 + t^4.116 + t^4.177 + 2*t^4.382 + 3*t^4.587 + 2*t^4.853 + 4*t^5.058 + t^5.324 + 5*t^5.529 + 2*t^5.734 + t^5.795 + 3*t^6. + 4*t^6.205 + t^6.266 + 2*t^6.41 + 4*t^6.471 + 5*t^6.676 + 6*t^6.881 + 2*t^6.942 + 3*t^7.147 + 7*t^7.352 + 4*t^7.413 + t^7.557 + 3*t^7.618 + 9*t^7.823 + t^7.884 + 5*t^8.028 - t^8.089 + t^8.233 + 5*t^8.294 + t^8.355 + 6*t^8.499 + 3*t^8.704 - t^8.765 + 7*t^8.97 - t^4.618/y + t^7.382/y + t^7.587/y + (3*t^7.853)/y + (4*t^8.058)/y + t^8.324/y + (4*t^8.529)/y + (2*t^8.734)/y + (3*t^8.795)/y - t^4.618*y + t^7.382*y + t^7.587*y + 3*t^7.853*y + 4*t^8.058*y + t^8.324*y + 4*t^8.529*y + 2*t^8.734*y + 3*t^8.795*y | t^2.089/g1^10 + 2*g1^12*t^2.294 + 2*g1^4*t^2.765 + t^3.235/g1^4 + g1^18*t^3.44 + (3*t^3.706)/g1^12 + 2*g1^10*t^3.911 + g1^32*t^4.116 + t^4.177/g1^20 + 2*g1^2*t^4.382 + 3*g1^24*t^4.587 + (2*t^4.853)/g1^6 + 4*g1^16*t^5.058 + t^5.324/g1^14 + 5*g1^8*t^5.529 + 2*g1^30*t^5.734 + t^5.795/g1^22 + 3*t^6. + 4*g1^22*t^6.205 + t^6.266/g1^30 + 2*g1^44*t^6.41 + (4*t^6.471)/g1^8 + 5*g1^14*t^6.676 + 6*g1^36*t^6.881 + (2*t^6.942)/g1^16 + 3*g1^6*t^7.147 + 7*g1^28*t^7.352 + (4*t^7.413)/g1^24 + g1^50*t^7.557 + (3*t^7.618)/g1^2 + 9*g1^20*t^7.823 + t^7.884/g1^32 + 5*g1^42*t^8.028 - t^8.089/g1^10 + g1^64*t^8.233 + 5*g1^12*t^8.294 + t^8.355/g1^40 + 6*g1^34*t^8.499 + 3*g1^56*t^8.704 - g1^4*t^8.765 + 7*g1^26*t^8.97 - t^4.618/(g1^2*y) + (g1^2*t^7.382)/y + (g1^24*t^7.587)/y + (3*t^7.853)/(g1^6*y) + (4*g1^16*t^8.058)/y + t^8.324/(g1^14*y) + (4*g1^8*t^8.529)/y + (2*g1^30*t^8.734)/y + (3*t^8.795)/(g1^22*y) - (t^4.618*y)/g1^2 + g1^2*t^7.382*y + g1^24*t^7.587*y + (3*t^7.853*y)/g1^6 + 4*g1^16*t^8.058*y + (t^8.324*y)/g1^14 + 4*g1^8*t^8.529*y + 2*g1^30*t^8.734*y + (3*t^8.795*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 858 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6146 | 0.8118 | 0.7571 | [M:[0.9224, 1.2329, 0.9224, 0.7671, 0.6941], q:[0.7306, 0.347], qb:[0.347, 0.4201], phi:[0.5388]] | 2*t^2.082 + 2*t^2.301 + 2*t^2.767 + t^3.233 + t^3.452 + 3*t^3.699 + t^3.918 + t^4.137 + 3*t^4.164 + 4*t^4.384 + 3*t^4.603 + 4*t^4.849 + 4*t^5.068 + 2*t^5.315 + 6*t^5.534 + 2*t^5.753 + 4*t^5.781 + 3*t^6. - t^4.616/y - t^4.616*y | detail | |
| 1897 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6013 | 0.7852 | 0.7658 | [M:[0.9195, 1.2415, 0.9195, 0.7585, 0.9195], q:[0.7299, 0.3506], qb:[0.3506, 0.4078], phi:[0.5403]] | t^2.104 + 2*t^2.275 + 3*t^2.758 + t^3.413 + 3*t^3.725 + 2*t^3.896 + t^4.068 + t^4.208 + 2*t^4.379 + 3*t^4.551 + 3*t^4.862 + 6*t^5.034 + 6*t^5.517 + 2*t^5.689 + t^5.828 + t^6. - t^4.621/y - t^4.621*y | detail | |
| 1898 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.608 | 0.7955 | 0.7643 | [M:[0.9286, 1.2142, 0.9286, 0.7858, 0.8213], q:[0.7321, 0.3393], qb:[0.3393, 0.4465], phi:[0.5357]] | t^2.036 + 2*t^2.357 + t^2.464 + 2*t^2.786 + t^3.214 + 3*t^3.643 + 2*t^3.964 + t^4.071 + t^4.286 + 2*t^4.393 + t^4.5 + 3*t^4.715 + 4*t^4.821 + t^4.928 + 4*t^5.143 + 3*t^5.25 + 4*t^5.572 + 2*t^5.678 + 3*t^6. - t^4.607/y - t^4.607*y | detail | |
| 857 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$ | 0.5905 | 0.7724 | 0.7646 | [M:[0.9091, 1.2727, 0.9091, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | 3*t^2.182 + 2*t^2.727 + 2*t^3.273 + 6*t^3.818 + 6*t^4.364 + 6*t^4.909 + 8*t^5.455 + 10*t^6. - t^4.636/y - t^4.636*y | detail | {a: 786/1331, c: 1028/1331, M1: 10/11, M2: 14/11, M3: 10/11, M4: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 346 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6106 | 0.7864 | 0.7765 | [M:[0.9696, 1.0912, 0.9696, 0.7332], q:[0.7424, 0.288], qb:[0.4636, 0.4453], phi:[0.5152]] | 2*t^2.2 + t^2.255 + 2*t^2.909 + 2*t^3.274 + t^3.563 + t^3.618 + t^3.745 + t^4.217 + t^4.272 + t^4.327 + 3*t^4.399 + 2*t^4.454 + t^4.509 + 4*t^5.109 + 2*t^5.163 + 3*t^5.473 + t^5.528 + 2*t^5.763 + 5*t^5.818 + t^5.873 + t^5.945 - 3*t^6. - t^4.546/y - t^4.546*y | detail |