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 |
|---|---|---|---|---|---|---|---|---|---|
| 2845 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}M_{6}$ | 0.6178 | 0.753 | 0.8204 | [X:[1.6134], M:[0.7771, 0.7693, 0.3866, 1.1598, 0.8402, 1.2229], q:[0.8383, 0.3846], qb:[0.7752, 0.4556], phi:[0.3866]] | [X:[[0, 1]], M:[[2, -10], [-2, 6], [0, -1], [0, -3], [0, 3], [-2, 10]], q:[[-1, 7], [-1, 3]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | -1 | t^2.308 + t^2.32 + t^2.521 + t^3.468 + t^3.479 + t^3.669 + t^3.68 + t^3.881 + t^3.893 + t^4.616 + t^4.627 + t^4.639 + t^4.828 + 2*t^4.84 + t^5.041 + t^5.775 + t^5.787 + t^5.976 + 2*t^5.988 - t^6. - t^6.012 + 2*t^6.189 + 2*t^6.201 + t^6.402 + t^6.414 + t^6.923 + 2*t^6.935 + t^6.947 + t^6.959 + 2*t^7.136 + 2*t^7.148 - t^7.172 + t^7.337 + 2*t^7.349 + t^7.361 - t^7.373 + t^7.55 + 2*t^7.562 + t^7.763 + t^7.775 + t^7.786 + t^8.083 + t^8.095 + t^8.284 + 2*t^8.296 - t^8.308 - 2*t^8.32 - t^8.331 + 2*t^8.497 + 3*t^8.509 - 2*t^8.521 - 2*t^8.532 + 2*t^8.71 + 2*t^8.722 + t^8.923 + t^8.935 - t^4.16/y - t^6.468/y - t^6.479/y + t^7.627/y + t^7.828/y + (2*t^7.84)/y + t^7.852/y + t^8.787/y + t^8.976/y + (3*t^8.988)/y - t^4.16*y - t^6.468*y - t^6.479*y + t^7.627*y + t^7.828*y + 2*t^7.84*y + t^7.852*y + t^8.787*y + t^8.976*y + 3*t^8.988*y | (g2^6*t^2.308)/g1^2 + t^2.32/g2^2 + g2^3*t^2.521 + (g2^5*t^3.468)/g1^2 + t^3.479/g2^3 + (g2^10*t^3.669)/g1^2 + g2^2*t^3.68 + g2^7*t^3.881 + (g1^2*t^3.893)/g2 + (g2^12*t^4.616)/g1^4 + (g2^4*t^4.627)/g1^2 + t^4.639/g2^4 + (g2^9*t^4.828)/g1^2 + 2*g2*t^4.84 + g2^6*t^5.041 + (g2^11*t^5.775)/g1^4 + (g2^3*t^5.787)/g1^2 + (g2^16*t^5.976)/g1^4 + (2*g2^8*t^5.988)/g1^2 - t^6. - (g1^2*t^6.012)/g2^8 + (2*g2^13*t^6.189)/g1^2 + 2*g2^5*t^6.201 + g2^10*t^6.402 + g1^2*g2^2*t^6.414 + (g2^18*t^6.923)/g1^6 + (2*g2^10*t^6.935)/g1^4 + (g2^2*t^6.947)/g1^2 + t^6.959/g2^6 + (2*g2^15*t^7.136)/g1^4 + (2*g2^7*t^7.148)/g1^2 - (g1^2*t^7.172)/g2^9 + (g2^20*t^7.337)/g1^4 + (2*g2^12*t^7.349)/g1^2 + g2^4*t^7.361 - (g1^2*t^7.373)/g2^4 + (g2^17*t^7.55)/g1^2 + 2*g2^9*t^7.562 + g2^14*t^7.763 + g1^2*g2^6*t^7.775 + (g1^4*t^7.786)/g2^2 + (g2^17*t^8.083)/g1^6 + (g2^9*t^8.095)/g1^4 + (g2^22*t^8.284)/g1^6 + (2*g2^14*t^8.296)/g1^4 - (g2^6*t^8.308)/g1^2 - (2*t^8.32)/g2^2 - (g1^2*t^8.331)/g2^10 + (2*g2^19*t^8.497)/g1^4 + (3*g2^11*t^8.509)/g1^2 - 2*g2^3*t^8.521 - (2*g1^2*t^8.532)/g2^5 + (2*g2^16*t^8.71)/g1^2 + 2*g2^8*t^8.722 + g2^13*t^8.923 + g1^2*g2^5*t^8.935 - t^4.16/(g2*y) - (g2^5*t^6.468)/(g1^2*y) - t^6.479/(g2^3*y) + (g2^4*t^7.627)/(g1^2*y) + (g2^9*t^7.828)/(g1^2*y) + (2*g2*t^7.84)/y + (g1^2*t^7.852)/(g2^7*y) + (g2^3*t^8.787)/(g1^2*y) + (g2^16*t^8.976)/(g1^4*y) + (3*g2^8*t^8.988)/(g1^2*y) - (t^4.16*y)/g2 - (g2^5*t^6.468*y)/g1^2 - (t^6.479*y)/g2^3 + (g2^4*t^7.627*y)/g1^2 + (g2^9*t^7.828*y)/g1^2 + 2*g2*t^7.84*y + (g1^2*t^7.852*y)/g2^7 + (g2^3*t^8.787*y)/g1^2 + (g2^16*t^8.976*y)/g1^4 + (3*g2^8*t^8.988*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 |
|---|---|---|---|---|---|---|---|---|
| 3405 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6327 | 0.7781 | 0.8131 | [X:[1.6123], M:[0.7448, 0.8061, 0.3877, 1.1632, 0.8368, 1.2552, 0.8061], q:[0.8521, 0.4031], qb:[0.7601, 0.4337], phi:[0.3877]] | t^2.326 + 2*t^2.418 + t^2.51 + t^3.49 + t^3.674 + 2*t^3.766 + t^3.858 + t^4.653 + 2*t^4.745 + 5*t^4.837 + 2*t^4.929 + t^5.021 - t^6. - t^4.163/y - t^4.163*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1825 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ | 0.6366 | 0.7855 | 0.8105 | [X:[1.6178], M:[0.7368, 0.7919, 0.3822, 1.1465, 0.8535], q:[0.8673, 0.396], qb:[0.7506, 0.4575], phi:[0.3822]] | t^2.21 + t^2.293 + t^2.376 + t^2.56 + t^3.44 + t^3.522 + t^3.707 + t^3.892 + t^3.974 + t^4.421 + t^4.503 + 2*t^4.586 + t^4.669 + t^4.751 + t^4.771 + 2*t^4.853 + t^4.936 + t^5.121 + t^5.65 + t^5.733 + t^5.815 + t^5.898 - t^6. - t^4.147/y - t^4.147*y | detail |