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 |
|---|---|---|---|---|---|---|---|---|---|
| 47923 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4548 | 1.6393 | 0.8875 | [X:[1.3494], M:[0.9519], q:[0.5, 0.524], qb:[0.5, 0.524], phi:[0.3253]] | [X:[[0, 0, 2]], M:[[0, 0, -6]], q:[[-1, 0, 0], [0, -1, 6]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -1 | t^2.856 + t^2.928 + t^3. + 2*t^3.072 + t^3.976 + 3*t^4.048 + t^4.12 + t^4.952 + 2*t^5.024 + t^5.096 + 2*t^5.548 + 2*t^5.62 + t^5.712 + t^5.784 + 2*t^5.856 + t^5.928 - t^6. + 3*t^6.144 + 2*t^6.524 + 2*t^6.596 + t^6.832 + 2*t^6.904 + 2*t^6.976 + 4*t^7.048 + 7*t^7.12 + 2*t^7.192 + 2*t^7.428 + 2*t^7.644 + t^7.808 + t^7.88 + 3*t^7.952 + 5*t^8.024 + 9*t^8.096 + 4*t^8.168 + t^8.24 - 2*t^8.476 - 2*t^8.548 + t^8.568 + 4*t^8.62 + t^8.64 + 4*t^8.692 + 2*t^8.712 + 2*t^8.784 - t^8.856 + t^8.928 + t^8.928/y^2 - t^3.976/y - t^4.952/y - t^6.832/y - t^6.904/y - t^6.976/y - (2*t^7.048)/y - t^7.808/y - t^7.88/y - t^7.952/y - (2*t^8.024)/y + t^8.784/y + t^8.856/y + (2*t^8.928)/y - t^3.976*y - t^4.952*y - t^6.832*y - t^6.904*y - t^6.976*y - 2*t^7.048*y - t^7.808*y - t^7.88*y - t^7.952*y - 2*t^8.024*y + t^8.784*y + t^8.856*y + 2*t^8.928*y + t^8.928*y^2 | t^2.856/g3^6 + t^2.928/g3^3 + t^3. + (g2*t^3.072)/g1 + (g1*g3^6*t^3.072)/g2 + t^3.976/g3 + (g2*t^4.048)/(g1*g3) + g3^2*t^4.048 + (g1*g3^5*t^4.048)/g2 + g3^5*t^4.12 + t^4.952/g3^2 + (g2*t^5.024)/(g1*g3^2) + (g1*g3^4*t^5.024)/g2 + g3^4*t^5.096 + (g1^2*g2*t^5.548)/g3 + (g3^5*t^5.548)/(g1^2*g2) + (g1*g2^2*t^5.62)/g3 + (g3^11*t^5.62)/(g1*g2^2) + t^5.712/g3^12 + t^5.784/g3^9 + (2*t^5.856)/g3^6 + t^5.928/g3^3 - 3*t^6. + (g2*t^6.)/(g1*g3^3) + (g1*g3^3*t^6.)/g2 + (g2^2*t^6.144)/g1^2 + g3^6*t^6.144 + (g1^2*g3^12*t^6.144)/g2^2 + (g1^2*g2*t^6.524)/g3^2 + (g3^4*t^6.524)/(g1^2*g2) + (g1*g2^2*t^6.596)/g3^2 + (g3^10*t^6.596)/(g1*g2^2) + t^6.832/g3^7 + (2*t^6.904)/g3^4 + (g2*t^6.976)/(g1*g3^4) + (g1*g3^2*t^6.976)/g2 + (g2*t^7.048)/(g1*g3) + 2*g3^2*t^7.048 + (g1*g3^5*t^7.048)/g2 + (g2^2*t^7.12)/(g1^2*g3) + (g2*g3^2*t^7.12)/g1 + 3*g3^5*t^7.12 + (g1*g3^8*t^7.12)/g2 + (g1^2*g3^11*t^7.12)/g2^2 + (g2*g3^5*t^7.192)/g1 + (g1*g3^11*t^7.192)/g2 + t^7.428/(g1^3*g3^3) + (g1^3*t^7.428)/g3^3 - (g1*g2^2*t^7.5)/g3^6 + (g1^2*g2*t^7.5)/g3^3 + (g3^3*t^7.5)/(g1^2*g2) - (g3^6*t^7.5)/(g1*g2^2) - g1^2*g2*t^7.572 + (g1*g2^2*t^7.572)/g3^3 - (g3^6*t^7.572)/(g1^2*g2) + (g3^9*t^7.572)/(g1*g2^2) + (g2^3*t^7.644)/g3^3 + (g3^15*t^7.644)/g2^3 + t^7.808/g3^8 + t^7.88/g3^5 + (g2*t^7.952)/(g1*g3^5) + t^7.952/g3^2 + (g1*g3*t^7.952)/g2 + (2*g2*t^8.024)/(g1*g3^2) + g3*t^8.024 + (2*g1*g3^4*t^8.024)/g2 + (2*g2^2*t^8.096)/(g1^2*g3^2) + 5*g3^4*t^8.096 + (2*g1^2*g3^10*t^8.096)/g2^2 + (2*g2*g3^4*t^8.168)/g1 + (2*g1*g3^10*t^8.168)/g2 + g3^10*t^8.24 - (g1*g2^2*t^8.476)/g3^7 + (g1^2*g2*t^8.476)/g3^4 - t^8.476/(g1^3*g3) - (g1^3*t^8.476)/g3 + (g3^2*t^8.476)/(g1^2*g2) - (g3^5*t^8.476)/(g1*g2^2) - (g2^3*t^8.548)/g3^7 + (g1*g2^2*t^8.548)/g3^4 - (g1^2*g2*t^8.548)/g3 - (g3^5*t^8.548)/(g1^2*g2) + (g3^8*t^8.548)/(g1*g2^2) - (g3^11*t^8.548)/g2^3 + t^8.568/g3^18 + (g1*g2^2*t^8.62)/g3 + (g3^5*t^8.62)/g1^3 + g1^3*g3^5*t^8.62 + (g3^11*t^8.62)/(g1*g2^2) + t^8.64/g3^15 + (g2^3*t^8.692)/g3 + g1^2*g2*g3^5*t^8.692 + (g3^11*t^8.692)/(g1^2*g2) + (g3^17*t^8.692)/g2^3 + (2*t^8.712)/g3^12 + (2*t^8.784)/g3^9 - t^8.856/g3^6 + (g1*t^8.928)/g2 + (g2*t^8.928)/(g1*g3^6) - t^8.928/g3^3 + t^8.928/(g3^3*y^2) - t^3.976/(g3*y) - t^4.952/(g3^2*y) - t^6.832/(g3^7*y) - t^6.904/(g3^4*y) - t^6.976/(g3*y) - (g2*t^7.048)/(g1*g3*y) - (g1*g3^5*t^7.048)/(g2*y) - t^7.808/(g3^8*y) - t^7.88/(g3^5*y) - t^7.952/(g3^2*y) - (g2*t^8.024)/(g1*g3^2*y) - (g1*g3^4*t^8.024)/(g2*y) + t^8.784/(g3^9*y) + t^8.856/(g3^6*y) + (g1*t^8.928)/(g2*y) + (g2*t^8.928)/(g1*g3^6*y) - (t^3.976*y)/g3 - (t^4.952*y)/g3^2 - (t^6.832*y)/g3^7 - (t^6.904*y)/g3^4 - (t^6.976*y)/g3 - (g2*t^7.048*y)/(g1*g3) - (g1*g3^5*t^7.048*y)/g2 - (t^7.808*y)/g3^8 - (t^7.88*y)/g3^5 - (t^7.952*y)/g3^2 - (g2*t^8.024*y)/(g1*g3^2) - (g1*g3^4*t^8.024*y)/g2 + (t^8.784*y)/g3^9 + (t^8.856*y)/g3^6 + (g1*t^8.928*y)/g2 + (g2*t^8.928*y)/(g1*g3^6) + (t^8.928*y^2)/g3^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57591 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4443 | 1.6268 | 0.8878 | [X:[1.3603], M:[0.9191], q:[0.4451, 0.5106], qb:[0.5549, 0.5703], phi:[0.3199]] | t^2.76 + t^2.88 + t^3. + t^3.05 + t^3.2 + t^3.96 + t^4.01 + t^4.08 + t^4.16 + t^4.2 + t^4.92 + t^4.97 + t^5.12 + 2*t^5.16 + t^5.36 + t^5.51 + t^5.64 + 2*t^5.76 + t^5.88 + t^5.92 - 2*t^6. - t^3.96/y - t^4.92/y - t^3.96*y - t^4.92*y | detail | |
| 57590 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.3369 | 1.5137 | 0.8833 | [X:[1.3908], M:[0.8275], q:[0.6379, 0.4196], qb:[0.3621, 0.7529], phi:[0.3046]] | t^2.35 + t^2.48 + t^2.74 + t^3. + t^3.26 + t^3.91 + 3*t^4.17 + t^4.43 + t^4.69 + t^4.83 + t^4.96 + 2*t^5.09 + t^5.22 + 3*t^5.35 + 2*t^5.48 + t^5.6 + t^5.74 + t^6. - t^3.91/y - t^4.83/y - t^3.91*y - t^4.83*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47873 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.4741 | 1.6841 | 0.8753 | [q:[0.5, 0.4923], qb:[0.5, 0.4923], phi:[0.3359]] | t^2.015 + t^2.954 + 2*t^2.977 + t^3. + t^3.023 + t^3.962 + 2*t^3.985 + t^4.008 + t^4.031 + 2*t^4.969 + 4*t^4.992 + 2*t^5.015 + t^5.038 + 2*t^5.462 + 2*t^5.485 + t^5.908 + 2*t^5.931 + 4*t^5.954 + 2*t^5.977 + t^6. - t^4.008/y - t^5.015/y - t^4.008*y - t^5.015*y | detail |