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 |
|---|---|---|---|---|---|---|---|---|---|
| 2057 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6518 | 0.8599 | 0.758 | [M:[0.9645, 1.1066, 0.8934, 0.7411, 0.7411, 0.8122], q:[0.7411, 0.2944], qb:[0.4467, 0.4467], phi:[0.5178]] | [M:[[4], [-12], [12], [1], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | -3 | 4*t^2.223 + t^2.437 + t^2.68 + t^2.893 + t^3.107 + t^3.32 + t^3.563 + 3*t^4.233 + 10*t^4.447 + 4*t^4.66 + t^4.873 + 4*t^4.904 + 5*t^5.117 + 5*t^5.33 + t^5.36 + 3*t^5.543 + t^5.574 + t^5.756 + 5*t^5.787 - 3*t^6. + t^6.244 + t^6.426 + 9*t^6.457 + t^6.64 + 20*t^6.67 + 7*t^6.883 + 3*t^6.914 + 2*t^7.096 + 11*t^7.127 + t^7.31 + 12*t^7.34 + 10*t^7.553 + 4*t^7.584 + 7*t^7.767 + 6*t^7.797 + 3*t^7.98 + 9*t^8.01 + t^8.041 + t^8.193 - 13*t^8.223 + t^8.254 - 5*t^8.437 + 10*t^8.467 + 2*t^8.65 + 15*t^8.68 + 3*t^8.863 + 27*t^8.893 + t^8.924 - t^4.553/y - (2*t^6.777)/y - t^6.99/y + (6*t^7.447)/y + (4*t^7.66)/y + (4*t^7.904)/y + (6*t^8.117)/y + (7*t^8.33)/y + (5*t^8.543)/y + t^8.574/y + t^8.756/y + (5*t^8.787)/y - t^4.553*y - 2*t^6.777*y - t^6.99*y + 6*t^7.447*y + 4*t^7.66*y + 4*t^7.904*y + 6*t^8.117*y + 7*t^8.33*y + 5*t^8.543*y + t^8.574*y + t^8.756*y + 5*t^8.787*y | 4*g1*t^2.223 + t^2.437/g1^7 + g1^12*t^2.68 + g1^4*t^2.893 + t^3.107/g1^4 + t^3.32/g1^12 + g1^7*t^3.563 + 3*g1^10*t^4.233 + 10*g1^2*t^4.447 + (4*t^4.66)/g1^6 + t^4.873/g1^14 + 4*g1^13*t^4.904 + 5*g1^5*t^5.117 + (5*t^5.33)/g1^3 + g1^24*t^5.36 + (3*t^5.543)/g1^11 + g1^16*t^5.574 + t^5.756/g1^19 + 5*g1^8*t^5.787 - 3*t^6. + g1^19*t^6.244 + t^6.426/g1^16 + 9*g1^11*t^6.457 + t^6.64/g1^24 + 20*g1^3*t^6.67 + (7*t^6.883)/g1^5 + 3*g1^22*t^6.914 + (2*t^7.096)/g1^13 + 11*g1^14*t^7.127 + t^7.31/g1^21 + 12*g1^6*t^7.34 + (10*t^7.553)/g1^2 + 4*g1^25*t^7.584 + (7*t^7.767)/g1^10 + 6*g1^17*t^7.797 + (3*t^7.98)/g1^18 + 9*g1^9*t^8.01 + g1^36*t^8.041 + t^8.193/g1^26 - 13*g1*t^8.223 + g1^28*t^8.254 - (5*t^8.437)/g1^7 + 10*g1^20*t^8.467 + (2*t^8.65)/g1^15 + 15*g1^12*t^8.68 + (3*t^8.863)/g1^23 + 27*g1^4*t^8.893 + g1^31*t^8.924 - t^4.553/(g1^2*y) - (2*t^6.777)/(g1*y) - t^6.99/(g1^9*y) + (6*g1^2*t^7.447)/y + (4*t^7.66)/(g1^6*y) + (4*g1^13*t^7.904)/y + (6*g1^5*t^8.117)/y + (7*t^8.33)/(g1^3*y) + (5*t^8.543)/(g1^11*y) + (g1^16*t^8.574)/y + t^8.756/(g1^19*y) + (5*g1^8*t^8.787)/y - (t^4.553*y)/g1^2 - (2*t^6.777*y)/g1 - (t^6.99*y)/g1^9 + 6*g1^2*t^7.447*y + (4*t^7.66*y)/g1^6 + 4*g1^13*t^7.904*y + 6*g1^5*t^8.117*y + (7*t^8.33*y)/g1^3 + (5*t^8.543*y)/g1^11 + g1^16*t^8.574*y + (t^8.756*y)/g1^19 + 5*g1^8*t^8.787*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 |
|---|---|---|---|---|---|---|---|---|
| 3127 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6497 | 0.8603 | 0.7553 | [M:[0.9474, 1.1579, 0.8421, 0.7368, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 4*t^2.211 + 2*t^2.526 + t^2.842 + t^3.158 + 2*t^3.474 + 3*t^4.105 + 10*t^4.421 + 8*t^4.737 + 7*t^5.053 + 6*t^5.368 + 8*t^5.684 - t^6. - t^4.579/y - t^4.579*y | detail | {a: 8913/13718, c: 11801/13718, M1: 18/19, M2: 22/19, M3: 16/19, M4: 14/19, M5: 14/19, M6: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
| 3128 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6679 | 0.8876 | 0.7526 | [M:[0.972, 1.084, 0.916, 0.743, 0.743, 0.799, 0.799], q:[0.743, 0.285], qb:[0.458, 0.458], phi:[0.514]] | 4*t^2.229 + 2*t^2.397 + t^2.748 + t^2.916 + t^3.084 + t^3.252 + 3*t^4.29 + 10*t^4.458 + 8*t^4.626 + 3*t^4.794 + 4*t^4.977 + 6*t^5.145 + 6*t^5.313 + 4*t^5.481 + t^5.496 + 2*t^5.649 + t^5.664 + t^5.832 - 4*t^6. - t^4.542/y - t^4.542*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 |
|---|---|---|---|---|---|---|---|---|---|
| 873 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6365 | 0.835 | 0.7622 | [M:[0.9558, 1.1325, 0.8675, 0.739, 0.739], q:[0.739, 0.3052], qb:[0.4338, 0.4338], phi:[0.5221]] | 4*t^2.217 + t^2.603 + t^2.868 + t^3.132 + t^3.397 + 2*t^3.518 + 3*t^4.169 + 10*t^4.434 + 4*t^4.819 + 4*t^5.084 + t^5.205 + 4*t^5.349 + t^5.47 + 2*t^5.614 + 9*t^5.735 - 4*t^6. - t^4.566/y - t^4.566*y | detail |