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 |
|---|---|---|---|---|---|---|---|---|---|
| 1921 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.6022 | 0.7272 | 0.8281 | [X:[1.6128], M:[0.8384, 0.7104, 1.1616, 0.3872, 1.2256], q:[0.3872, 0.7744], qb:[0.4512, 0.8384], phi:[0.3872]] | [X:[[1]], M:[[3], [-7], [-3], [-1], [2]], q:[[-1], [-2]], qb:[[4], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_3$, $ \phi_1q_1^2$, $ M_5$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_1M_2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2\phi_1q_1^2$, $ M_2M_5$, $ \phi_1q_2^2$ | . | -2 | t^2.13 + t^2.52 + 2*t^3.48 + 4*t^3.68 + t^3.87 + t^4.26 + t^4.65 + t^4.84 + t^5.03 + 2*t^5.62 + 2*t^5.81 - 2*t^6. + 2*t^6.19 + t^6.38 + t^6.39 + t^6.78 + 2*t^6.97 + 3*t^7.16 + 6*t^7.35 + 3*t^7.55 + t^7.74 + 2*t^7.75 + 2*t^7.94 - 2*t^8.13 + t^8.32 - 2*t^8.52 + t^8.53 + t^8.71 + t^8.9 + t^8.91 - t^4.16/y - t^6.29/y + t^7.65/y + t^8.03/y - t^8.42/y + (2*t^8.62)/y + (4*t^8.81)/y - t^4.16*y - t^6.29*y + t^7.65*y + t^8.03*y - t^8.42*y + 2*t^8.62*y + 4*t^8.81*y | t^2.13/g1^7 + g1^3*t^2.52 + (2*t^3.48)/g1^3 + 4*g1^2*t^3.68 + g1^7*t^3.87 + t^4.26/g1^14 + t^4.65/g1^4 + g1*t^4.84 + g1^6*t^5.03 + (2*t^5.62)/g1^10 + (2*t^5.81)/g1^5 - 2*t^6. + 2*g1^5*t^6.19 + g1^10*t^6.38 + t^6.39/g1^21 + t^6.78/g1^11 + (2*t^6.97)/g1^6 + (3*t^7.16)/g1 + 6*g1^4*t^7.35 + 3*g1^9*t^7.55 + g1^14*t^7.74 + (2*t^7.75)/g1^17 + (2*t^7.94)/g1^12 - (2*t^8.13)/g1^7 + t^8.32/g1^2 - 2*g1^3*t^8.52 + t^8.53/g1^28 + g1^8*t^8.71 + g1^13*t^8.9 + t^8.91/g1^18 - t^4.16/(g1*y) - t^6.29/(g1^8*y) + t^7.65/(g1^4*y) + (g1^6*t^8.03)/y - t^8.42/(g1^15*y) + (2*t^8.62)/(g1^10*y) + (4*t^8.81)/(g1^5*y) - (t^4.16*y)/g1 - (t^6.29*y)/g1^8 + (t^7.65*y)/g1^4 + g1^6*t^8.03*y - (t^8.42*y)/g1^15 + (2*t^8.62*y)/g1^10 + (4*t^8.81*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2956 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6227 | 0.7666 | 0.8123 | [X:[1.6146], M:[0.8438, 0.6979, 1.1562, 0.3854, 1.2292, 0.6979], q:[0.3854, 0.7708], qb:[0.4583, 0.8438], phi:[0.3854]] | 2*t^2.09 + t^2.53 + 2*t^3.47 + 4*t^3.69 + 3*t^4.19 + 2*t^4.62 + t^4.84 + t^5.06 + 4*t^5.56 + 6*t^5.78 - 3*t^6. - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 585 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1^2$ | 0.7183 | 0.8774 | 0.8187 | [X:[], M:[1.0, 0.8187, 1.0, 0.8187, 1.0906], q:[0.4547, 0.5453], qb:[0.5453, 0.6359], phi:[0.4547]] | 2*t^2.46 + 2*t^3. + 3*t^3.27 + t^4.09 + 2*t^4.36 + 4*t^4.64 + 5*t^4.91 + t^5.18 + 3*t^5.46 + 2*t^5.73 - 3*t^6. - t^4.36/y - t^4.36*y | detail |