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 |
|---|---|---|---|---|---|---|---|---|---|
| 2718 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ | 0.6268 | 0.7908 | 0.7925 | [M:[1.1253, 0.7495, 0.75, 1.25], q:[0.75, 0.3747], qb:[0.5, 0.3753], phi:[0.5]] | [M:[[1], [-2], [0], [0]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$ | ${}M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.248 + t^2.25 + t^2.626 + t^3. + t^3.374 + 2*t^3.376 + t^3.748 + 2*t^3.75 + t^4.124 + t^4.126 + t^4.497 + t^4.498 + 2*t^4.5 + t^4.874 + t^4.876 + t^5.248 + t^5.25 + t^5.252 + t^5.623 + 2*t^5.624 + 2*t^5.626 + t^5.997 + 2*t^5.998 + t^6.002 + t^6.373 + t^6.374 + 2*t^6.376 + t^6.745 + t^6.747 + 3*t^6.748 + 3*t^6.75 + 3*t^6.752 + 2*t^7.123 + 2*t^7.124 + 3*t^7.126 + 2*t^7.497 + 2*t^7.498 + 3*t^7.5 + t^7.502 + t^7.871 + 3*t^7.873 + 2*t^7.874 + 2*t^7.876 + t^7.877 + t^8.245 + 2*t^8.247 + t^8.248 + t^8.25 + t^8.252 + t^8.621 + t^8.623 + t^8.624 + t^8.627 + t^8.994 + t^8.995 + 3*t^8.997 + 2*t^8.998 - t^4.5/y - t^6.748/y + t^7.124/y + t^7.498/y + t^7.874/y + t^8.248/y + t^8.25/y + t^8.252/y + t^8.623/y + (3*t^8.624)/y + (3*t^8.626)/y + (3*t^8.998)/y - t^4.5*y - t^6.748*y + t^7.124*y + t^7.498*y + t^7.874*y + t^8.248*y + t^8.25*y + t^8.252*y + t^8.623*y + 3*t^8.624*y + 3*t^8.626*y + 3*t^8.998*y | t^2.248/g1^2 + t^2.25 + g1*t^2.626 + t^3. + t^3.374/g1 + 2*g1*t^3.376 + t^3.748/g1^2 + 2*t^3.75 + t^4.124/g1 + g1*t^4.126 + t^4.497/g1^4 + t^4.498/g1^2 + 2*t^4.5 + t^4.874/g1 + g1*t^4.876 + t^5.248/g1^2 + t^5.25 + g1^2*t^5.252 + t^5.623/g1^3 + (2*t^5.624)/g1 + 2*g1*t^5.626 + t^5.997/g1^4 + (2*t^5.998)/g1^2 + g1^2*t^6.002 + t^6.373/g1^3 + t^6.374/g1 + 2*g1*t^6.376 + t^6.745/g1^6 + t^6.747/g1^4 + (3*t^6.748)/g1^2 + 3*t^6.75 + 3*g1^2*t^6.752 + (2*t^7.123)/g1^3 + (2*t^7.124)/g1 + 3*g1*t^7.126 + (2*t^7.497)/g1^4 + (2*t^7.498)/g1^2 + 3*t^7.5 + g1^2*t^7.502 + t^7.871/g1^5 + (3*t^7.873)/g1^3 + (2*t^7.874)/g1 + 2*g1*t^7.876 + g1^3*t^7.877 + t^8.245/g1^6 + (2*t^8.247)/g1^4 + t^8.248/g1^2 + t^8.25 + g1^2*t^8.252 + t^8.621/g1^5 + t^8.623/g1^3 + t^8.624/g1 + g1^3*t^8.627 + t^8.994/g1^8 + t^8.995/g1^6 + (3*t^8.997)/g1^4 + (2*t^8.998)/g1^2 - t^4.5/y - t^6.748/(g1^2*y) + t^7.124/(g1*y) + t^7.498/(g1^2*y) + t^7.874/(g1*y) + t^8.248/(g1^2*y) + t^8.25/y + (g1^2*t^8.252)/y + t^8.623/(g1^3*y) + (3*t^8.624)/(g1*y) + (3*g1*t^8.626)/y + (3*t^8.998)/(g1^2*y) - t^4.5*y - (t^6.748*y)/g1^2 + (t^7.124*y)/g1 + (t^7.498*y)/g1^2 + (t^7.874*y)/g1 + (t^8.248*y)/g1^2 + t^8.25*y + g1^2*t^8.252*y + (t^8.623*y)/g1^3 + (3*t^8.624*y)/g1 + 3*g1*t^8.626*y + (3*t^8.998*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3231 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6385 | 0.8121 | 0.7862 | [M:[1.1387, 0.7226, 0.75, 1.25, 0.8613], q:[0.75, 0.3613], qb:[0.5, 0.3887], phi:[0.5]] | t^2.168 + t^2.25 + t^2.584 + t^2.666 + t^3. + t^3.334 + t^3.416 + t^3.668 + 2*t^3.75 + t^4.084 + t^4.166 + t^4.336 + t^4.418 + 2*t^4.5 + t^4.752 + 2*t^4.834 + t^4.916 + 2*t^5.168 + 2*t^5.25 + t^5.332 + t^5.502 + 2*t^5.584 + t^5.666 + t^5.836 + 3*t^5.918 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 3230 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6463 | 0.8266 | 0.7818 | [M:[1.1141, 0.7718, 0.75, 1.25, 0.7282], q:[0.75, 0.3859], qb:[0.5, 0.3641], phi:[0.5]] | t^2.185 + t^2.25 + t^2.315 + t^2.592 + t^3. + 2*t^3.342 + t^3.408 + 2*t^3.75 + t^4.092 + t^4.158 + t^4.369 + t^4.435 + 3*t^4.5 + t^4.565 + t^4.631 + t^4.777 + t^4.842 + t^4.908 + 2*t^5.185 + t^5.25 + t^5.315 + 2*t^5.527 + 3*t^5.592 + 2*t^5.658 + t^5.723 + 3*t^5.935 - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1718 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.6458 | 0.8255 | 0.7823 | [M:[1.1253, 0.7495, 0.75], q:[0.75, 0.3747], qb:[0.5, 0.3753], phi:[0.5]] | t^2.248 + 2*t^2.25 + t^2.626 + t^3. + t^3.374 + 2*t^3.376 + t^3.748 + t^3.75 + t^4.124 + t^4.126 + t^4.497 + 2*t^4.498 + 4*t^4.5 + t^4.874 + 2*t^4.876 + t^5.248 + 2*t^5.25 + t^5.252 + t^5.623 + 3*t^5.624 + 4*t^5.626 + t^5.997 + 2*t^5.998 - t^4.5/y - t^4.5*y | detail |