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 |
|---|---|---|---|---|---|---|---|---|---|
| 252 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ | 0.6697 | 0.7947 | 0.8427 | [M:[0.8882, 1.2067, 0.8882, 1.0], q:[0.8017, 0.6118], qb:[0.5, 0.5], phi:[0.3966]] | [M:[[-7, 1], [4, 0], [-7, -1], [0, 0]], q:[[1, 0], [7, 0]], qb:[[0, -1], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}^{2}$ | ${}$ | -4 | 2*t^2.665 + t^3. + t^3.62 + 2*t^3.905 + 3*t^4.19 + t^4.24 + 2*t^4.525 + t^4.861 + 3*t^5.329 - 4*t^6. - 2*t^6.335 + 3*t^6.57 + 4*t^6.854 + 2*t^6.905 + 3*t^7.19 + t^7.24 + 2*t^7.525 + 3*t^7.81 + t^7.861 + 4*t^7.994 + 4*t^8.095 + 2*t^8.146 + 5*t^8.38 + 3*t^8.43 + t^8.481 - 8*t^8.665 + 2*t^8.715 + 2*t^8.766 - t^4.19/y - (2*t^6.854)/y + (2*t^7.525)/y + t^8.329/y + (2*t^8.665)/y - t^4.19*y - 2*t^6.854*y + 2*t^7.525*y + t^8.329*y + 2*t^8.665*y | t^2.665/(g1^7*g2) + (g2*t^2.665)/g1^7 + t^3. + g1^4*t^3.62 + (g1*t^3.905)/g2 + g1*g2*t^3.905 + t^4.19/g1^2 + t^4.19/(g1^2*g2^2) + (g2^2*t^4.19)/g1^2 + g1^8*t^4.24 + (g1^5*t^4.525)/g2 + g1^5*g2*t^4.525 + g1^12*t^4.861 + t^5.329/g1^14 + t^5.329/(g1^14*g2^2) + (g2^2*t^5.329)/g1^14 - 2*t^6. - t^6./g2^2 - g2^2*t^6. - (g1^7*t^6.335)/g2 - g1^7*g2*t^6.335 + t^6.57/g1^6 + t^6.57/(g1^6*g2^2) + (g2^2*t^6.57)/g1^6 + t^6.854/(g1^9*g2^3) + t^6.854/(g1^9*g2) + (g2*t^6.854)/g1^9 + (g2^3*t^6.854)/g1^9 + (g1*t^6.905)/g2 + g1*g2*t^6.905 + t^7.19/g1^2 + t^7.19/(g1^2*g2^2) + (g2^2*t^7.19)/g1^2 + g1^8*t^7.24 + (g1^5*t^7.525)/g2 + g1^5*g2*t^7.525 + g1^2*t^7.81 + (g1^2*t^7.81)/g2^2 + g1^2*g2^2*t^7.81 + g1^12*t^7.861 + t^7.994/(g1^21*g2^3) + t^7.994/(g1^21*g2) + (g2*t^7.994)/g1^21 + (g2^3*t^7.994)/g1^21 + t^8.095/(g1*g2^3) + t^8.095/(g1*g2) + (g2*t^8.095)/g1 + (g2^3*t^8.095)/g1 + (g1^9*t^8.146)/g2 + g1^9*g2*t^8.146 + t^8.38/g1^4 + t^8.38/(g1^4*g2^4) + t^8.38/(g1^4*g2^2) + (g2^2*t^8.38)/g1^4 + (g2^4*t^8.38)/g1^4 + g1^6*t^8.43 + (g1^6*t^8.43)/g2^2 + g1^6*g2^2*t^8.43 + g1^16*t^8.481 - t^8.665/(g1^7*g2^3) - (3*t^8.665)/(g1^7*g2) - (3*g2*t^8.665)/g1^7 - (g2^3*t^8.665)/g1^7 + (g1^3*t^8.715)/g2^3 + g1^3*g2^3*t^8.715 + (g1^13*t^8.766)/g2 + g1^13*g2*t^8.766 - t^4.19/(g1^2*y) - t^6.854/(g1^9*g2*y) - (g2*t^6.854)/(g1^9*y) + (g1^5*t^7.525)/(g2*y) + (g1^5*g2*t^7.525)/y + t^8.329/(g1^14*y) + t^8.665/(g1^7*g2*y) + (g2*t^8.665)/(g1^7*y) - (t^4.19*y)/g1^2 - (t^6.854*y)/(g1^9*g2) - (g2*t^6.854*y)/g1^9 + (g1^5*t^7.525*y)/g2 + g1^5*g2*t^7.525*y + (t^8.329*y)/g1^14 + (t^8.665*y)/(g1^7*g2) + (g2*t^8.665*y)/g1^7 |
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 |
|---|---|---|---|---|---|---|---|---|
| 402 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}^{2}$ | 0.6621 | 0.7871 | 0.8412 | [M:[0.9238, 1.1646, 1.0, 1.0], q:[0.7912, 0.5381], qb:[0.5381, 0.4619], phi:[0.4177]] | t^2.771 + 2*t^3. + t^3.494 + t^3.759 + 2*t^3.988 + t^4.024 + 2*t^4.253 + 3*t^4.482 + t^5.543 - 2*t^6. - t^4.253/y - t^4.253*y | detail | |
| 403 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6903 | 0.8344 | 0.8273 | [M:[0.8831, 1.2074, 0.891, 1.0, 0.6942], q:[0.8018, 0.6129], qb:[0.504, 0.496], phi:[0.3963]] | t^2.083 + t^2.649 + t^2.673 + t^3. + t^3.622 + t^3.894 + 2*t^4.165 + t^4.189 + t^4.213 + t^4.244 + t^4.516 + t^4.54 + t^4.732 + t^4.756 + t^4.867 + t^5.083 + t^5.299 + t^5.322 + t^5.346 + t^5.705 - 2*t^6. - t^4.189/y - t^4.189*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 |
|---|---|---|---|---|---|---|---|---|---|
| 159 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6845 | 0.8095 | 0.8456 | [M:[0.8373, 1.2823, 0.8373, 0.8373], q:[0.8206, 0.5813], qb:[0.5813, 0.5813], phi:[0.3588]] | 3*t^2.512 + t^3.847 + 3*t^4.206 + 6*t^4.565 + 6*t^5.024 - 9*t^6. - t^4.077/y - t^4.077*y | detail |