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 |
|---|---|---|---|---|---|---|---|---|---|
| 2315 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_7$ | 0.5438 | 0.6527 | 0.8332 | [X:[1.6516, 1.3032], M:[1.0, 0.3484, 0.742, 1.0452, 0.9548, 0.6968, 1.258], q:[0.6968, 0.9548], qb:[0.3032, 0.6516], phi:[0.3484]] | [X:[[1], [2]], M:[[0], [-1], [-5], [-3], [3], [-2], [5]], q:[[-2], [3]], qb:[[2], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_7$, $ X_2$, $ q_1\tilde{q}_2$, $ M_6^2$, $ q_2\tilde{q}_2$, $ M_5M_6$, $ q_1q_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_5^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_5$, $ M_6M_7$, $ M_1\tilde{q}_1\tilde{q}_2$ | $M_6X_2$ | -2 | t^2.09 + 2*t^2.86 + t^3. + t^3.77 + t^3.91 + t^4.05 + t^4.18 + t^4.82 + 3*t^4.95 + 3*t^5.73 + 2*t^5.86 - 2*t^6. - t^6.14 + t^6.27 + 2*t^6.64 + 2*t^6.77 + t^6.91 + t^7.05 - t^7.18 + t^7.55 + 2*t^7.68 + 4*t^7.82 - t^7.95 - t^8.09 + t^8.36 + 5*t^8.59 + 3*t^8.73 - 5*t^8.86 - t^4.05/y - t^6.14/y + (3*t^7.95)/y + t^8.09/y - t^8.23/y + t^8.73/y + (3*t^8.86)/y - t^4.05*y - t^6.14*y + 3*t^7.95*y + t^8.09*y - t^8.23*y + t^8.73*y + 3*t^8.86*y | t^2.09/g1^2 + 2*g1^3*t^2.86 + t^3. + g1^5*t^3.77 + g1^2*t^3.91 + t^4.05/g1 + t^4.18/g1^4 + g1^4*t^4.82 + 3*g1*t^4.95 + 3*g1^6*t^5.73 + 2*g1^3*t^5.86 - 2*t^6. - t^6.14/g1^3 + t^6.27/g1^6 + 2*g1^8*t^6.64 + 2*g1^5*t^6.77 + g1^2*t^6.91 + t^7.05/g1 - t^7.18/g1^4 + g1^10*t^7.55 + 2*g1^7*t^7.68 + 4*g1^4*t^7.82 - g1*t^7.95 - t^8.09/g1^2 + t^8.36/g1^8 + 5*g1^9*t^8.59 + 3*g1^6*t^8.73 - 5*g1^3*t^8.86 - t^4.05/(g1*y) - t^6.14/(g1^3*y) + (3*g1*t^7.95)/y + t^8.09/(g1^2*y) - t^8.23/(g1^5*y) + (g1^6*t^8.73)/y + (3*g1^3*t^8.86)/y - (t^4.05*y)/g1 - (t^6.14*y)/g1^3 + 3*g1*t^7.95*y + (t^8.09*y)/g1^2 - (t^8.23*y)/g1^5 + g1^6*t^8.73*y + 3*g1^3*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 4324 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_7$ + $ M_8X_2$ | 0.5644 | 0.692 | 0.8157 | [X:[1.6531, 1.3062], M:[1.0, 0.3469, 0.7344, 1.0406, 0.9594, 0.6938, 1.2656, 0.6938], q:[0.6938, 0.9594], qb:[0.3062, 0.6531], phi:[0.3469]] | 2*t^2.08 + 2*t^2.88 + t^3. + t^3.8 + t^4.04 + 3*t^4.16 + t^4.84 + 5*t^4.96 + t^5.08 + 3*t^5.76 + 3*t^5.88 - 3*t^6. - t^4.04/y - t^4.04*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1263 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5637 | 0.6887 | 0.8185 | [X:[1.6577, 1.3155], M:[1.0, 0.3423, 0.7113, 1.0268, 0.9732, 0.6845], q:[0.6845, 0.9732], qb:[0.3155, 0.6577], phi:[0.3423]] | t^2.05 + t^2.13 + 2*t^2.92 + t^3. + t^3.95 + t^4.03 + t^4.11 + t^4.19 + t^4.27 + t^4.89 + 3*t^4.97 + 2*t^5.05 + t^5.13 + 3*t^5.84 + t^5.92 - 2*t^6. - t^4.03/y - t^4.03*y | detail |