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 |
|---|---|---|---|---|---|---|---|---|---|
| 45973 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0.613 | 0.7886 | 0.7773 | [M:[0.9658, 0.8098], q:[0.7415, 0.2927], qb:[0.4487, 0.4487], phi:[0.5171]] | [M:[[4], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | 2*t^2.224 + t^2.429 + t^2.692 + t^2.897 + t^3.103 + t^3.308 + t^3.571 + 2*t^3.776 + 3*t^4.244 + 3*t^4.449 + 2*t^4.654 + t^4.859 + 2*t^4.917 + 3*t^5.122 + 3*t^5.327 + t^5.385 + t^5.532 + t^5.59 + t^5.737 + 3*t^5.795 + t^6. + 2*t^6.205 + t^6.263 + t^6.41 + 5*t^6.468 + t^6.615 + 6*t^6.673 + 2*t^6.878 + 3*t^6.936 + 2*t^7.083 + 4*t^7.141 + t^7.288 + 5*t^7.346 + 4*t^7.551 + 2*t^7.609 + 2*t^7.756 + 4*t^7.814 + t^7.962 + 6*t^8.019 + t^8.077 + t^8.167 - t^8.224 + t^8.282 - t^8.429 + 8*t^8.487 + 2*t^8.635 + 4*t^8.692 + t^8.84 + 3*t^8.897 + t^8.955 - t^4.551/y - t^6.981/y + t^7.449/y + (2*t^7.654)/y + (2*t^7.917)/y + (4*t^8.122)/y + (3*t^8.327)/y + (3*t^8.532)/y + t^8.59/y + t^8.737/y + (3*t^8.795)/y - t^4.551*y - t^6.981*y + t^7.449*y + 2*t^7.654*y + 2*t^7.917*y + 4*t^8.122*y + 3*t^8.327*y + 3*t^8.532*y + t^8.59*y + t^8.737*y + 3*t^8.795*y | 2*g1*t^2.224 + t^2.429/g1^7 + g1^12*t^2.692 + g1^4*t^2.897 + t^3.103/g1^4 + t^3.308/g1^12 + g1^7*t^3.571 + (2*t^3.776)/g1 + 3*g1^10*t^4.244 + 3*g1^2*t^4.449 + (2*t^4.654)/g1^6 + t^4.859/g1^14 + 2*g1^13*t^4.917 + 3*g1^5*t^5.122 + (3*t^5.327)/g1^3 + g1^24*t^5.385 + t^5.532/g1^11 + g1^16*t^5.59 + t^5.737/g1^19 + 3*g1^8*t^5.795 + t^6. + (2*t^6.205)/g1^8 + g1^19*t^6.263 + t^6.41/g1^16 + 5*g1^11*t^6.468 + t^6.615/g1^24 + 6*g1^3*t^6.673 + (2*t^6.878)/g1^5 + 3*g1^22*t^6.936 + (2*t^7.083)/g1^13 + 4*g1^14*t^7.141 + t^7.288/g1^21 + 5*g1^6*t^7.346 + (4*t^7.551)/g1^2 + 2*g1^25*t^7.609 + (2*t^7.756)/g1^10 + 4*g1^17*t^7.814 + t^7.962/g1^18 + 6*g1^9*t^8.019 + g1^36*t^8.077 + t^8.167/g1^26 - g1*t^8.224 + g1^28*t^8.282 - t^8.429/g1^7 + 8*g1^20*t^8.487 + (2*t^8.635)/g1^15 + 4*g1^12*t^8.692 + t^8.84/g1^23 + 3*g1^4*t^8.897 + g1^31*t^8.955 - t^4.551/(g1^2*y) - t^6.981/(g1^9*y) + (g1^2*t^7.449)/y + (2*t^7.654)/(g1^6*y) + (2*g1^13*t^7.917)/y + (4*g1^5*t^8.122)/y + (3*t^8.327)/(g1^3*y) + (3*t^8.532)/(g1^11*y) + (g1^16*t^8.59)/y + t^8.737/(g1^19*y) + (3*g1^8*t^8.795)/y - (t^4.551*y)/g1^2 - (t^6.981*y)/g1^9 + g1^2*t^7.449*y + (2*t^7.654*y)/g1^6 + 2*g1^13*t^7.917*y + 4*g1^5*t^8.122*y + (3*t^8.327*y)/g1^3 + (3*t^8.532*y)/g1^11 + g1^16*t^8.59*y + (t^8.737*y)/g1^19 + 3*g1^8*t^8.795*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 |
|---|---|---|---|---|---|---|---|---|
| 46126 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ | 0.6101 | 0.7833 | 0.7789 | [M:[0.9726, 0.798, 1.0274], q:[0.7431, 0.2843], qb:[0.4589, 0.4589], phi:[0.5137]] | 2*t^2.229 + t^2.394 + t^2.753 + 2*t^3.082 + t^3.247 + t^3.606 + 2*t^3.771 + 3*t^4.294 + 3*t^4.459 + 2*t^4.623 + t^4.788 + 2*t^4.983 + t^5.147 + 4*t^5.312 + 2*t^5.476 + t^5.506 + t^5.641 + 3*t^5.835 - t^4.541/y - t^4.541*y | detail | |
| 46224 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6106 | 0.7883 | 0.7747 | [M:[0.9474, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 2*t^2.211 + 2*t^2.526 + t^2.842 + t^3.158 + 2*t^3.474 + 2*t^3.789 + 3*t^4.105 + 3*t^4.421 + 4*t^4.737 + 5*t^5.053 + 4*t^5.368 + 4*t^5.684 + 3*t^6. - t^4.579/y - t^4.579*y | detail | {a: 33507/54872, c: 21627/27436, M1: 18/19, M2: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
| 46256 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6063 | 0.7771 | 0.7802 | [M:[0.986, 0.7745, 1.0421], q:[0.7465, 0.2675], qb:[0.479, 0.479], phi:[0.507]] | 2*t^2.239 + t^2.324 + t^2.958 + t^3.042 + 2*t^3.126 + t^3.676 + 2*t^3.761 + 3*t^4.395 + 3*t^4.479 + 2*t^4.563 + t^4.647 + 2*t^5.197 + 3*t^5.282 + 3*t^5.366 + 2*t^5.45 + 2*t^5.916 - t^4.521/y - t^4.521*y | detail | |
| 46132 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ | 0.5096 | 0.649 | 0.7852 | [X:[1.3846], M:[1.0769, 0.6154], q:[0.7692, 0.1538], qb:[0.6154, 0.6154], phi:[0.4615]] | 3*t^2.308 + t^2.769 + t^3.231 + 3*t^3.692 + 2*t^4.154 + 4*t^4.615 + 6*t^5.077 + 2*t^5.538 + 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 17913/35152, c: 11407/17576, X1: 18/13, M1: 14/13, M2: 8/13, q1: 10/13, q2: 2/13, qb1: 8/13, qb2: 8/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45895 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6135 | 0.7901 | 0.7764 | [M:[0.9652, 0.7952], q:[0.7413, 0.2934], qb:[0.4635, 0.4322], phi:[0.5174]] | t^2.177 + t^2.271 + t^2.386 + t^2.687 + t^2.896 + t^3.104 + t^3.313 + t^3.521 + t^3.729 + t^3.823 + t^4.145 + t^4.239 + t^4.333 + t^4.354 + t^4.448 + t^4.542 + t^4.562 + t^4.656 + t^4.771 + t^4.864 + t^4.958 + 2*t^5.073 + t^5.167 + 2*t^5.281 + t^5.374 + t^5.375 + t^5.49 + t^5.583 + 2*t^5.698 + 2*t^5.791 + t^5.906 - t^4.552/y - t^4.552*y | detail |