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 |
|---|---|---|---|---|---|---|---|---|---|
| 47940 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 1.4418 | 1.621 | 0.8894 | [X:[1.3555], q:[0.5678, 0.5422], qb:[0.491, 0.4654], phi:[0.3223]] | [X:[[0, 2]], q:[[-1, 3], [2, -5]], qb:[[-2, 8], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -1 | t^2.9 + t^3.023 + 2*t^3.1 + t^3.176 + t^3.99 + 3*t^4.066 + t^4.143 + t^4.956 + 2*t^5.033 + t^5.11 + t^5.232 + t^5.309 + t^5.801 - t^6. + t^6.046 - t^6.077 + 2*t^6.122 + 5*t^6.199 + 3*t^6.276 + t^6.353 + t^6.967 + t^7.012 - t^7.044 + 6*t^7.089 + 8*t^7.166 + 5*t^7.243 + 2*t^7.319 + t^7.78 - t^7.857 + 2*t^7.979 + 5*t^8.056 + 8*t^8.133 + 4*t^8.21 + t^8.255 + t^8.286 + 3*t^8.332 + 3*t^8.409 + t^8.485 + t^8.701 - t^8.747 - 2*t^8.824 - t^8.9 + t^8.946 - t^8.977 + t^8.9/y^2 - t^3.967/y - t^4.934/y - t^6.867/y - t^6.99/y - (2*t^7.066)/y - t^7.143/y - t^7.834/y - t^7.956/y - (2*t^8.033)/y - t^8.11/y - t^3.967*y - t^4.934*y - t^6.867*y - t^6.99*y - 2*t^7.066*y - t^7.143*y - t^7.834*y - t^7.956*y - 2*t^8.033*y - t^8.11*y + t^8.9*y^2 | t^2.9/g2^3 + (g1^3*t^3.023)/g2^5 + 2*g2^3*t^3.1 + (g2^11*t^3.176)/g1^3 + (g1^3*t^3.99)/g2^6 + 3*g2^2*t^4.066 + (g2^10*t^4.143)/g1^3 + (g1^3*t^4.956)/g2^7 + 2*g2*t^5.033 + (g2^9*t^5.11)/g1^3 + g2^7*t^5.232 + (g2^15*t^5.309)/g1^3 + t^5.801/g2^6 - t^6. + (g1^6*t^6.046)/g2^10 - (g2^8*t^6.077)/g1^3 + (2*g1^3*t^6.122)/g2^2 + 5*g2^6*t^6.199 + (3*g2^14*t^6.276)/g1^3 + (g2^22*t^6.353)/g1^6 + t^6.967/g2 + (g1^6*t^7.012)/g2^11 - (g2^7*t^7.044)/g1^3 + (6*g1^3*t^7.089)/g2^3 + 8*g2^5*t^7.166 + (5*g2^13*t^7.243)/g1^3 + (2*g2^21*t^7.319)/g1^6 + (g1^6*t^7.78)/g2^18 - (g1^3*t^7.857)/g2^10 + (2*g1^6*t^7.979)/g2^12 + (5*g1^3*t^8.056)/g2^4 + 8*g2^4*t^8.133 + (4*g2^12*t^8.21)/g1^3 + g1^3*g2^2*t^8.255 + (g2^20*t^8.286)/g1^6 + 3*g2^10*t^8.332 + (3*g2^18*t^8.409)/g1^3 + (g2^26*t^8.485)/g1^6 + t^8.701/g2^9 - (g1^6*t^8.747)/g2^19 - (2*g1^3*t^8.824)/g2^11 - t^8.9/g2^3 + (g1^6*t^8.946)/g2^13 - (g2^5*t^8.977)/g1^3 + t^8.9/(g2^3*y^2) - t^3.967/(g2*y) - t^4.934/(g2^2*y) - t^6.867/(g2^4*y) - (g1^3*t^6.99)/(g2^6*y) - (2*g2^2*t^7.066)/y - (g2^10*t^7.143)/(g1^3*y) - t^7.834/(g2^5*y) - (g1^3*t^7.956)/(g2^7*y) - (2*g2*t^8.033)/y - (g2^9*t^8.11)/(g1^3*y) - (t^3.967*y)/g2 - (t^4.934*y)/g2^2 - (t^6.867*y)/g2^4 - (g1^3*t^6.99*y)/g2^6 - 2*g2^2*t^7.066*y - (g2^10*t^7.143*y)/g1^3 - (t^7.834*y)/g2^5 - (g1^3*t^7.956*y)/g2^7 - 2*g2*t^8.033*y - (g2^9*t^8.11*y)/g1^3 + (t^8.9*y^2)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57680 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4626 | 1.6624 | 0.8798 | [X:[1.3556], M:[0.6693], q:[0.5676, 0.5426], qb:[0.4908, 0.4659], phi:[0.3222]] | t^2.01 + t^2.9 + t^3.03 + 2*t^3.1 + t^3.18 + t^4.02 + 3*t^4.07 + t^4.14 + t^4.91 + t^4.96 + 3*t^5.03 + 3*t^5.11 + t^5.18 + t^5.23 + t^5.31 + t^5.8 - t^6. - t^3.97/y - t^4.93/y - t^5.97/y - t^3.97*y - t^4.93*y - t^5.97*y | detail | |
| 57677 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ | 1.0489 | 1.175 | 0.8926 | [X:[1.4969], M:[], q:[0.7505, 0.2474], qb:[0.998, 0.4949], phi:[0.2515]] | t^2.23 + t^2.26 + t^2.98 + 3*t^3.74 + t^4.45 + 4*t^4.49 + t^4.53 + t^5.21 + 2*t^5.25 + 4*t^5.96 - 2*t^6. - t^3.75/y - t^4.51/y - t^5.98/y - t^3.75*y - t^4.51*y - t^5.98*y | detail | |
| 57679 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4142 | 1.566 | 0.9031 | [X:[1.4286], M:[], q:[0.5714, 0.5714], qb:[0.5714, 0.5714], phi:[0.2857]] | t^2.57 + 4*t^3.43 + 5*t^4.29 + 5*t^5.14 - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 7761/5488, c: 4297/2744, X1: 10/7, q1: 4/7, q2: 4/7, qb1: 4/7, qb2: 4/7, phi1: 2/7} |
| 57678 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ | 1.3263 | 1.4951 | 0.8871 | [X:[1.3834], M:[], q:[0.6667, 0.3583], qb:[0.7167, 0.4084], phi:[0.3083]] | t^2.3 + t^2.77 + 3*t^3.23 + 5*t^4.15 + t^4.6 + 3*t^5.08 + 4*t^5.53 + t^5.55 + t^6. - t^3.92/y - t^4.85/y - t^3.92*y - t^4.85*y | detail | |
| 57676 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.7876 | 0.8393 | 0.9384 | [X:[1.623, 1.4345], M:[], q:[0.7923, 0.2269], qb:[1.2077, 0.6422], phi:[0.1885]] | t^2.61 + t^3.17 + 2*t^3.74 + t^4.3 + t^4.87 + t^5.21 + t^5.78 - 3*t^6. - t^3.57/y - t^4.13/y - t^3.57*y - t^4.13*y | detail | |
| 57675 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.91 | 0.9623 | 0.9457 | [X:[1.6218, 1.4327], M:[], q:[0.4145, 0.9818], qb:[0.4509, 1.0182], phi:[0.1891]] | t^2.6 + t^3.16 + t^3.73 + t^4.3 + t^4.87 + t^5.19 + t^5.43 + 2*t^5.76 - 2*t^6. - t^3.57/y - t^4.13/y - t^3.57*y - t^4.13*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47876 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4426 | 1.6227 | 0.889 | [X:[1.353], q:[0.5758, 0.525], qb:[0.4792, 0.4792], phi:[0.3235]] | t^2.911 + 2*t^3.013 + 2*t^3.165 + 2*t^3.983 + t^4.059 + 2*t^4.135 + 2*t^4.953 + 2*t^5.106 + 2*t^5.283 + t^5.823 + 2*t^5.924 - 5*t^6. - t^3.97/y - t^4.941/y - t^3.97*y - t^4.941*y | detail |