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 |
|---|---|---|---|---|---|---|---|---|---|
| 742 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6476 | 0.8091 | 0.8003 | [M:[0.8113, 0.7736, 1.1887, 0.8301, 0.7925], q:[0.8019, 0.8019], qb:[0.3868, 0.4245], phi:[0.3962]] | [M:[[6], [-14], [-6], [16], [-4]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$ | ${}M_{2}q_{1}\tilde{q}_{2}$ | 0 | t^2.321 + 2*t^2.377 + t^2.434 + t^2.49 + 2*t^3.566 + t^3.679 + t^3.736 + t^4.642 + 2*t^4.698 + 4*t^4.755 + 4*t^4.811 + 3*t^4.868 + t^4.924 + t^4.981 + t^5.887 + 2*t^5.943 + 3*t^6.057 + 2*t^6.113 + 2*t^6.17 + t^6.226 + t^6.963 + 2*t^7.019 + 3*t^7.076 + 8*t^7.132 + 4*t^7.189 + 4*t^7.245 + 4*t^7.302 + 3*t^7.358 + 2*t^7.415 + 2*t^7.471 + t^8.208 - t^8.377 + t^8.49 + 5*t^8.547 + 3*t^8.604 + 2*t^8.66 + t^8.717 - t^4.189/y - t^6.51/y - (2*t^6.566)/y - t^6.679/y + (3*t^7.698)/y + (2*t^7.755)/y + (5*t^7.811)/y + (3*t^7.868)/y + t^7.924/y - t^8.83/y + t^8.943/y - t^4.189*y - t^6.51*y - 2*t^6.566*y - t^6.679*y + 3*t^7.698*y + 2*t^7.755*y + 5*t^7.811*y + 3*t^7.868*y + t^7.924*y - t^8.83*y + t^8.943*y | t^2.321/g1^14 + (2*t^2.377)/g1^4 + g1^6*t^2.434 + g1^16*t^2.49 + (2*t^3.566)/g1^6 + g1^14*t^3.679 + g1^24*t^3.736 + t^4.642/g1^28 + (2*t^4.698)/g1^18 + (4*t^4.755)/g1^8 + 4*g1^2*t^4.811 + 3*g1^12*t^4.868 + g1^22*t^4.924 + g1^32*t^4.981 + t^5.887/g1^20 + (2*t^5.943)/g1^10 + 3*g1^10*t^6.057 + 2*g1^20*t^6.113 + 2*g1^30*t^6.17 + g1^40*t^6.226 + t^6.963/g1^42 + (2*t^7.019)/g1^32 + (3*t^7.076)/g1^22 + (8*t^7.132)/g1^12 + (4*t^7.189)/g1^2 + 4*g1^8*t^7.245 + 4*g1^18*t^7.302 + 3*g1^28*t^7.358 + 2*g1^38*t^7.415 + 2*g1^48*t^7.471 + t^8.208/g1^34 - t^8.377/g1^4 + g1^16*t^8.49 + 5*g1^26*t^8.547 + 3*g1^36*t^8.604 + 2*g1^46*t^8.66 + g1^56*t^8.717 - t^4.189/(g1^2*y) - t^6.51/(g1^16*y) - (2*t^6.566)/(g1^6*y) - (g1^14*t^6.679)/y + (3*t^7.698)/(g1^18*y) + (2*t^7.755)/(g1^8*y) + (5*g1^2*t^7.811)/y + (3*g1^12*t^7.868)/y + (g1^22*t^7.924)/y - t^8.83/(g1^30*y) + t^8.943/(g1^10*y) - (t^4.189*y)/g1^2 - (t^6.51*y)/g1^16 - (2*t^6.566*y)/g1^6 - g1^14*t^6.679*y + (3*t^7.698*y)/g1^18 + (2*t^7.755*y)/g1^8 + 5*g1^2*t^7.811*y + 3*g1^12*t^7.868*y + g1^22*t^7.924*y - (t^8.83*y)/g1^30 + (t^8.943*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1219 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.667 | 0.8452 | 0.7893 | [M:[0.8186, 0.7565, 1.1814, 0.8497, 0.7876, 0.7254], q:[0.8031, 0.8031], qb:[0.3783, 0.4404], phi:[0.3938]] | t^2.176 + t^2.27 + 2*t^2.363 + t^2.456 + t^2.549 + 2*t^3.544 + t^3.73 + t^4.353 + t^4.446 + 3*t^4.539 + 3*t^4.632 + 5*t^4.725 + 4*t^4.819 + 3*t^4.912 + t^5.005 + t^5.098 + 2*t^5.72 + t^5.814 + 3*t^5.907 - t^4.181/y - t^4.181*y | detail | |
| 1988 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6659 | 0.842 | 0.7909 | [M:[0.8176, 0.7588, 1.1824, 0.847, 0.7882, 0.7588], q:[0.8029, 0.8029], qb:[0.3794, 0.4382], phi:[0.3941]] | 2*t^2.277 + 2*t^2.365 + t^2.453 + t^2.541 + 2*t^3.547 + t^3.812 + 3*t^4.553 + 4*t^4.641 + 5*t^4.729 + 5*t^4.818 + 3*t^4.906 + t^4.994 + t^5.082 + 3*t^5.824 + 2*t^5.912 - t^6. - t^4.182/y - t^4.182*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 |
|---|---|---|---|---|---|---|---|---|---|
| 442 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6307 | 0.7795 | 0.809 | [M:[0.809, 0.779, 1.191, 0.824], q:[0.8015, 0.8015], qb:[0.3895, 0.4195], phi:[0.397]] | t^2.337 + t^2.382 + t^2.427 + t^2.472 + 2*t^3.573 + t^3.618 + t^3.663 + t^3.708 + t^4.674 + t^4.719 + 2*t^4.764 + 3*t^4.809 + 2*t^4.854 + t^4.899 + t^4.944 + t^5.91 + t^5.955 + t^6. - t^4.191/y - t^4.191*y | detail |