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 |
|---|---|---|---|---|---|---|---|---|---|
| 498 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6999 | 0.852 | 0.8215 | [M:[0.9552, 1.0448, 0.9552, 0.9552, 1.0448], q:[0.5672, 0.4776], qb:[0.4776, 0.5672], phi:[0.4776]] | [M:[[-2, -2], [2, 2], [-8, -4], [4, 0], [2, 2]], q:[[6, 4], [-4, -2]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}^{2}$ | ${}M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | 3*t^2.866 + 3*t^3.134 + t^3.403 + 3*t^4.298 + 4*t^4.567 + 3*t^4.836 + 2*t^5.731 + t^6. + 4*t^6.269 + 3*t^6.538 + t^6.807 + 5*t^7.164 + 7*t^7.433 + 9*t^7.702 + 6*t^7.97 + 3*t^8.239 + 6*t^8.597 - 3*t^8.866 - t^4.433/y - (2*t^7.298)/y + (2*t^7.567)/y + (3*t^8.731)/y - t^4.433*y - 2*t^7.298*y + 2*t^7.567*y + 3*t^8.731*y | g1^4*t^2.866 + t^2.866/(g1^8*g2^4) + t^2.866/(g1^2*g2^2) + 3*g1^2*g2^2*t^3.134 + g1^6*g2^6*t^3.403 + t^4.298/(g1^9*g2^5) + t^4.298/(g1^3*g2^3) + (g1^3*t^4.298)/g2 + t^4.567/(g1^5*g2) + 2*g1*g2*t^4.567 + g1^7*g2^3*t^4.567 + (g2^3*t^4.836)/g1 + g1^5*g2^5*t^4.836 + g1^11*g2^7*t^4.836 + g1^8*t^5.731 + t^5.731/(g1^16*g2^8) - t^6. + t^6./(g1^6*g2^2) + g1^6*g2^2*t^6. + 4*g1^4*g2^4*t^6.269 + 3*g1^8*g2^8*t^6.538 + g1^12*g2^12*t^6.807 + t^7.164/(g1^17*g2^9) + t^7.164/(g1^11*g2^7) + t^7.164/(g1^5*g2^5) + (g1*t^7.164)/g2^3 + (g1^7*t^7.164)/g2 + t^7.433/(g1^13*g2^5) + (2*t^7.433)/(g1^7*g2^3) + t^7.433/(g1*g2) + 2*g1^5*g2*t^7.433 + g1^11*g2^3*t^7.433 + t^7.702/(g1^9*g2) + (2*g2*t^7.702)/g1^3 + 3*g1^3*g2^3*t^7.702 + 2*g1^9*g2^5*t^7.702 + g1^15*g2^7*t^7.702 + 2*g1*g2^5*t^7.97 + 2*g1^7*g2^7*t^7.97 + 2*g1^13*g2^9*t^7.97 + g1^5*g2^9*t^8.239 + g1^11*g2^11*t^8.239 + g1^17*g2^13*t^8.239 + g1^12*t^8.597 + t^8.597/(g1^24*g2^12) + t^8.597/(g1^18*g2^10) + t^8.597/(g1^12*g2^8) + t^8.597/g2^4 + (g1^6*t^8.597)/g2^2 - 2*g1^4*t^8.866 + (2*t^8.866)/(g1^14*g2^6) - (2*t^8.866)/(g1^8*g2^4) - (3*t^8.866)/(g1^2*g2^2) + 2*g1^10*g2^2*t^8.866 - t^4.433/(g1*g2*y) - t^7.298/(g1^9*g2^5*y) - (g1^3*t^7.298)/(g2*y) + t^7.567/(g1^5*g2*y) + (g1^7*g2^3*t^7.567)/y + t^8.731/(g1^10*g2^6*y) + t^8.731/(g1^4*g2^4*y) + (g1^2*t^8.731)/(g2^2*y) - (t^4.433*y)/(g1*g2) - (t^7.298*y)/(g1^9*g2^5) - (g1^3*t^7.298*y)/g2 + (t^7.567*y)/(g1^5*g2) + g1^7*g2^3*t^7.567*y + (t^8.731*y)/(g1^10*g2^6) + (t^8.731*y)/(g1^4*g2^4) + (g1^2*t^8.731*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 785 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}^{2}$ | 0.6985 | 0.8513 | 0.8205 | [M:[0.9631, 1.0369, 1.0, 0.9263, 1.0369], q:[0.5369, 0.5], qb:[0.4631, 0.5737], phi:[0.4816]] | t^2.779 + t^2.889 + t^3. + 3*t^3.111 + t^3.332 + t^4.223 + t^4.334 + 2*t^4.445 + 2*t^4.555 + 2*t^4.666 + t^4.777 + t^4.887 + t^5.558 + t^5.889 - t^4.445/y - t^4.445*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 |
|---|---|---|---|---|---|---|---|---|---|
| 320 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.7556 | 0.9204 | 0.821 | [M:[0.7942, 1.2058, 0.7942, 0.7942, 0.7604], q:[0.586, 0.6198], qb:[0.6198, 0.586], phi:[0.3971]] | t^2.281 + 3*t^2.383 + t^3.516 + 2*t^3.617 + t^4.562 + 3*t^4.664 + 3*t^4.707 + 6*t^4.765 + 4*t^4.809 + 3*t^4.91 + t^5.797 + t^5.899 - 2*t^6. - t^4.191/y - t^4.191*y | detail |