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 |
|---|---|---|---|---|---|---|---|---|---|
| 46785 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ | 0.5719 | 0.7171 | 0.7975 | [X:[], M:[0.912, 1.088, 1.0, 0.7359], q:[0.6179, 0.4701], qb:[0.294, 0.9701], phi:[0.412]] | [X:[], M:[[-2], [2], [0], [-6]], q:[[-3], [5]], qb:[[1], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_2\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_1M_4$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_1\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ M_1^2$, $ M_2M_4$, $ M_3\phi_1^2$, $ M_2q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_2\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$ | 0 | t^2.21 + t^2.29 + t^2.47 + t^2.74 + t^3. + t^3.26 + t^3.53 + t^4.06 + t^4.32 + t^4.42 + t^4.5 + t^4.58 + t^4.68 + 2*t^4.76 + 2*t^4.94 + t^5.03 + t^5.21 + t^5.29 + 2*t^5.47 + t^5.56 + 2*t^5.74 + t^5.82 + t^6.26 + t^6.35 - t^6.44 + 2*t^6.53 + t^6.61 + t^6.62 + 2*t^6.79 + t^6.88 + t^6.89 + t^6.97 + 2*t^7.06 + 2*t^7.15 + t^7.24 + 2*t^7.32 + 2*t^7.42 + 2*t^7.58 + 2*t^7.68 + t^7.76 + t^7.85 + 2*t^7.94 + t^8.03 + 2*t^8.11 - t^8.29 + t^8.38 + 2*t^8.64 - t^8.65 - t^8.74 + 2*t^8.82 + t^8.83 + t^8.91 - t^4.24/y - t^6.44/y - t^6.71/y + t^7.5/y + t^7.68/y + (2*t^7.76)/y + t^7.94/y + (2*t^8.03)/y + (2*t^8.21)/y + t^8.29/y + (2*t^8.47)/y + t^8.56/y - t^8.65/y + (3*t^8.74)/y + t^8.82/y - t^8.92/y - t^4.24*y - t^6.44*y - t^6.71*y + t^7.5*y + t^7.68*y + 2*t^7.76*y + t^7.94*y + 2*t^8.03*y + 2*t^8.21*y + t^8.29*y + 2*t^8.47*y + t^8.56*y - t^8.65*y + 3*t^8.74*y + t^8.82*y - t^8.92*y | t^2.21/g1^6 + g1^6*t^2.29 + t^2.47/g1^4 + t^2.74/g1^2 + t^3. + g1^2*t^3.26 + g1^4*t^3.53 + g1^8*t^4.06 + g1^10*t^4.32 + t^4.42/g1^12 + t^4.5 + g1^12*t^4.58 + t^4.68/g1^10 + 2*g1^2*t^4.76 + (2*t^4.94)/g1^8 + g1^4*t^5.03 + t^5.21/g1^6 + g1^6*t^5.29 + (2*t^5.47)/g1^4 + g1^8*t^5.56 + (2*t^5.74)/g1^2 + g1^10*t^5.82 + g1^2*t^6.26 + g1^14*t^6.35 - t^6.44/g1^8 + 2*g1^4*t^6.53 + g1^16*t^6.61 + t^6.62/g1^18 + 2*g1^6*t^6.79 + g1^18*t^6.88 + t^6.89/g1^16 + t^6.97/g1^4 + 2*g1^8*t^7.06 + (2*t^7.15)/g1^14 + t^7.24/g1^2 + 2*g1^10*t^7.32 + (2*t^7.42)/g1^12 + 2*g1^12*t^7.58 + (2*t^7.68)/g1^10 + g1^2*t^7.76 + g1^14*t^7.85 + (2*t^7.94)/g1^8 + g1^4*t^8.03 + 2*g1^16*t^8.11 - g1^6*t^8.29 + g1^18*t^8.38 + 2*g1^20*t^8.64 - t^8.65/g1^14 - t^8.74/g1^2 + 2*g1^10*t^8.82 + t^8.83/g1^24 + g1^22*t^8.91 - t^4.24/(g1^2*y) - t^6.44/(g1^8*y) - t^6.71/(g1^6*y) + t^7.5/y + t^7.68/(g1^10*y) + (2*g1^2*t^7.76)/y + t^7.94/(g1^8*y) + (2*g1^4*t^8.03)/y + (2*t^8.21)/(g1^6*y) + (g1^6*t^8.29)/y + (2*t^8.47)/(g1^4*y) + (g1^8*t^8.56)/y - t^8.65/(g1^14*y) + (3*t^8.74)/(g1^2*y) + (g1^10*t^8.82)/y - t^8.92/(g1^12*y) - (t^4.24*y)/g1^2 - (t^6.44*y)/g1^8 - (t^6.71*y)/g1^6 + t^7.5*y + (t^7.68*y)/g1^10 + 2*g1^2*t^7.76*y + (t^7.94*y)/g1^8 + 2*g1^4*t^8.03*y + (2*t^8.21*y)/g1^6 + g1^6*t^8.29*y + (2*t^8.47*y)/g1^4 + g1^8*t^8.56*y - (t^8.65*y)/g1^14 + (3*t^8.74*y)/g1^2 + g1^10*t^8.82*y - (t^8.92*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 48256 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_5$ | 0.564 | 0.7044 | 0.8006 | [X:[], M:[0.9159, 1.0841, 1.0, 0.7476, 1.0841], q:[0.6238, 0.4603], qb:[0.2921, 0.9603], phi:[0.4159]] | t^2.24 + t^2.26 + t^2.5 + t^3. + 2*t^3.25 + t^3.5 + t^4.01 + t^4.26 + t^4.49 + t^4.5 + t^4.51 + t^4.74 + 2*t^4.75 + t^4.99 + t^5.26 + 2*t^5.5 + 2*t^5.51 + 2*t^5.75 + t^5.76 - t^6. - t^4.25/y - t^4.25*y | detail | |
| 48243 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.5573 | 0.6931 | 0.804 | [X:[], M:[0.9183, 1.0817, 1.0, 0.7549, 1.1634], q:[0.6275, 0.4542], qb:[0.2908, 0.9542], phi:[0.4183]] | t^2.24 + t^2.26 + t^2.75 + t^3. + t^3.25 + 2*t^3.49 + t^3.98 + t^4.23 + t^4.47 + t^4.5 + t^4.53 + t^4.75 + t^4.99 + t^5.02 + t^5.24 + t^5.48 + t^5.51 + 2*t^5.73 + 2*t^5.75 - t^6. - t^4.25/y - t^4.25*y | detail | |
| 47206 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_2^2\tilde{q}_1^2$ | 0.5703 | 0.714 | 0.7987 | [X:[], M:[0.9, 1.1, 1.0, 0.7], q:[0.6, 0.5], qb:[0.3, 1.0], phi:[0.4]] | t^2.1 + 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 2*t^4.2 + 3*t^4.5 + 5*t^4.8 + 2*t^5.1 + 3*t^5.4 + 3*t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 18249/32000, c: 22849/32000, M1: 9/10, M2: 11/10, M3: 1, M4: 7/10, q1: 3/5, q2: 1/2, qb1: 3/10, qb2: 1, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46322 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_3^2$ | 0.5526 | 0.6831 | 0.809 | [X:[], M:[0.9176, 1.0824, 1.0], q:[0.6264, 0.456], qb:[0.2912, 0.956], phi:[0.4176]] | t^2.24 + t^2.51 + t^2.75 + t^3. + t^3.25 + t^3.49 + t^3.74 + t^3.99 + t^4.24 + t^4.48 + 2*t^4.75 + t^4.99 + t^5.01 + t^5.24 + t^5.49 + t^5.51 + t^5.74 + t^5.75 + t^5.98 - t^4.25/y - t^4.25*y | detail |