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 |
|---|---|---|---|---|---|---|---|---|---|
| 4794 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6995 | 0.8855 | 0.7899 | [M:[1.0238, 0.7857, 0.9762, 0.8333, 1.1667, 0.7143, 1.0238, 0.7619], q:[0.5833, 0.3929], qb:[0.4404, 0.7738], phi:[0.4524]] | [M:[[22], [-30], [-22], [14], [-14], [-12], [22], [32]], q:[[-7], [-15]], qb:[[29], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{8}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{8}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$ | ${}$ | -2 | t^2.143 + t^2.286 + t^2.357 + t^2.5 + t^2.714 + 2*t^3.071 + t^3.5 + t^4. + t^4.071 + 2*t^4.286 + 2*t^4.429 + t^4.5 + t^4.571 + 2*t^4.643 + t^4.714 + t^4.786 + 3*t^4.857 + 2*t^5. + t^5.072 + 3*t^5.214 + 2*t^5.357 + 2*t^5.429 + t^5.571 + t^5.643 + 3*t^5.786 - 2*t^6. + 3*t^6.143 + t^6.214 + t^6.285 + t^6.357 + 2*t^6.429 + t^6.5 + 3*t^6.571 + 2*t^6.643 + 3*t^6.714 + 2*t^6.786 + 2*t^6.857 + t^6.928 + 4*t^7. + 3*t^7.071 + t^7.072 + 5*t^7.143 + 2*t^7.214 + t^7.286 + 4*t^7.357 + t^7.429 + 5*t^7.5 + 4*t^7.571 + 2*t^7.643 + 2*t^7.714 + 2*t^7.786 + t^7.857 + 4*t^7.929 + t^8. + 4*t^8.071 - 2*t^8.143 + t^8.286 - t^8.357 + 4*t^8.428 + 2*t^8.5 + t^8.571 + t^8.572 + 2*t^8.643 - t^8.714 + t^8.785 + 2*t^8.786 + 7*t^8.857 + t^8.929 - t^4.357/y - t^6.5/y - t^6.643/y - t^6.714/y - t^7.071/y + t^7.286/y + t^7.5/y + (3*t^7.643)/y + t^7.786/y + (2*t^7.857)/y + (2*t^8.)/y + (2*t^8.072)/y + (4*t^8.214)/y + (2*t^8.357)/y + (2*t^8.429)/y + (2*t^8.571)/y + (2*t^8.786)/y - t^8.928/y - t^4.357*y - t^6.5*y - t^6.643*y - t^6.714*y - t^7.071*y + t^7.286*y + t^7.5*y + 3*t^7.643*y + t^7.786*y + 2*t^7.857*y + 2*t^8.*y + 2*t^8.072*y + 4*t^8.214*y + 2*t^8.357*y + 2*t^8.429*y + 2*t^8.571*y + 2*t^8.786*y - t^8.928*y | t^2.143/g1^12 + g1^32*t^2.286 + t^2.357/g1^30 + g1^14*t^2.5 + t^2.714/g1^4 + 2*g1^22*t^3.071 + t^3.5/g1^14 + g1^56*t^4. + t^4.071/g1^6 + (2*t^4.286)/g1^24 + 2*g1^20*t^4.429 + t^4.5/g1^42 + g1^64*t^4.571 + 2*g1^2*t^4.643 + t^4.714/g1^60 + g1^46*t^4.786 + (3*t^4.857)/g1^16 + 2*g1^28*t^5. + t^5.072/g1^34 + 3*g1^10*t^5.214 + 2*g1^54*t^5.357 + (2*t^5.429)/g1^8 + g1^36*t^5.571 + t^5.643/g1^26 + 3*g1^18*t^5.786 - 2*t^6. + 3*g1^44*t^6.143 + t^6.214/g1^18 + g1^88*t^6.285 + g1^26*t^6.357 + (2*t^6.429)/g1^36 + g1^70*t^6.5 + 3*g1^8*t^6.571 + (2*t^6.643)/g1^54 + 3*g1^52*t^6.714 + (2*t^6.786)/g1^10 + t^6.857/g1^72 + g1^96*t^6.857 + g1^34*t^6.928 + (4*t^7.)/g1^28 + 3*g1^78*t^7.071 + t^7.072/g1^90 + 5*g1^16*t^7.143 + (2*t^7.214)/g1^46 + g1^60*t^7.286 + (4*t^7.357)/g1^2 + t^7.429/g1^64 + 5*g1^42*t^7.5 + (4*t^7.571)/g1^20 + 2*g1^86*t^7.643 + 2*g1^24*t^7.714 + (2*t^7.786)/g1^38 + g1^68*t^7.857 + 4*g1^6*t^7.929 + g1^112*t^8. + 4*g1^50*t^8.071 - (2*t^8.143)/g1^12 + g1^32*t^8.286 - t^8.357/g1^30 + 4*g1^76*t^8.428 + 2*g1^14*t^8.5 + g1^120*t^8.571 + t^8.572/g1^48 + 2*g1^58*t^8.643 - t^8.714/g1^4 + g1^102*t^8.785 + (2*t^8.786)/g1^66 + 7*g1^40*t^8.857 + t^8.929/g1^22 - t^4.357/(g1^2*y) - t^6.5/(g1^14*y) - (g1^30*t^6.643)/y - t^6.714/(g1^32*y) - t^7.071/(g1^6*y) + t^7.286/(g1^24*y) + t^7.5/(g1^42*y) + (3*g1^2*t^7.643)/y + (g1^46*t^7.786)/y + (2*t^7.857)/(g1^16*y) + (2*g1^28*t^8.)/y + (2*t^8.072)/(g1^34*y) + (4*g1^10*t^8.214)/y + (2*g1^54*t^8.357)/y + (2*t^8.429)/(g1^8*y) + (2*g1^36*t^8.571)/y + (2*g1^18*t^8.786)/y - (g1^62*t^8.928)/y - (t^4.357*y)/g1^2 - (t^6.5*y)/g1^14 - g1^30*t^6.643*y - (t^6.714*y)/g1^32 - (t^7.071*y)/g1^6 + (t^7.286*y)/g1^24 + (t^7.5*y)/g1^42 + 3*g1^2*t^7.643*y + g1^46*t^7.786*y + (2*t^7.857*y)/g1^16 + 2*g1^28*t^8.*y + (2*t^8.072*y)/g1^34 + 4*g1^10*t^8.214*y + 2*g1^54*t^8.357*y + (2*t^8.429*y)/g1^8 + 2*g1^36*t^8.571*y + 2*g1^18*t^8.786*y - g1^62*t^8.928*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 6429 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{9}$ | 0.7024 | 0.8899 | 0.7893 | [M:[1.0393, 0.7646, 0.9607, 0.8432, 1.1568, 0.7058, 1.0393, 0.7844, 0.9607], q:[0.5784, 0.3823], qb:[0.4609, 0.7745], phi:[0.451]] | t^2.118 + t^2.294 + t^2.353 + t^2.53 + t^2.706 + t^2.882 + t^3.118 + t^3.47 + t^4.059 + t^4.118 + 2*t^4.235 + t^4.411 + 2*t^4.471 + t^4.588 + 2*t^4.647 + t^4.707 + 3*t^4.823 + t^4.883 + 2*t^5. + 2*t^5.059 + t^5.176 + 3*t^5.235 + 2*t^5.412 + t^5.471 + 2*t^5.588 + t^5.764 + 2*t^5.824 - t^6. - t^4.353/y - t^4.353*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2651 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6814 | 0.8529 | 0.7989 | [M:[1.0367, 0.7681, 0.9633, 0.8416, 1.1584, 0.7072, 1.0367], q:[0.5792, 0.384], qb:[0.4575, 0.7744], phi:[0.4512]] | t^2.122 + t^2.304 + t^2.525 + t^2.707 + 2*t^3.11 + t^3.475 + t^3.658 + t^4.061 + t^4.099 + 2*t^4.243 + t^4.426 + t^4.464 + t^4.608 + t^4.646 + 3*t^4.829 + t^5.011 + t^5.049 + 3*t^5.232 + 2*t^5.414 + t^5.597 + t^5.635 + t^5.78 + 2*t^5.817 + t^5.962 - 2*t^6. - t^4.354/y - t^4.354*y | detail |