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 |
|---|---|---|---|---|---|---|---|---|---|
| 47111 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4^2$ | 0.7344 | 0.9115 | 0.8058 | [X:[], M:[0.8102, 0.8102, 1.0, 1.0, 1.0, 0.8102], q:[0.5949, 0.5949], qb:[0.5949, 0.4051], phi:[0.4525]] | [X:[], M:[[1, 6], [0, 4], [-1, -2], [0, 0], [1, 2], [-1, 2]], q:[[-1, -4], [0, -2]], qb:[[1, 0], [0, 2]], phi:[[0, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_1$, $ \phi_1^2$, $ M_3$, $ M_4$, $ M_5$, $ M_3$, $ M_5$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ M_1M_6$, $ M_1M_2$, $ M_1^2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_6\phi_1^2$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ M_3M_6$, $ M_2M_3$, $ M_4M_6$, $ M_1M_3$, $ M_2M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_1M_4$, $ M_2M_5$, $ M_1M_5$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$ | $M_3^2$, $ M_3M_4$, $ M_4M_5$, $ M_5^2$ | -4 | 3*t^2.43 + t^2.72 + 3*t^3. + t^3.79 + 3*t^4.36 + 6*t^4.86 + 6*t^4.93 + 3*t^5.15 + 7*t^5.43 + 3*t^5.72 - 4*t^6. + 3*t^6.22 + t^6.5 - 4*t^6.57 + 9*t^6.79 + 2*t^7.07 + 10*t^7.29 + 15*t^7.36 + 7*t^7.58 + 3*t^7.64 + 12*t^7.86 + 6*t^7.93 + 10*t^8.15 - 6*t^8.21 - 12*t^8.43 - 3*t^8.5 + 6*t^8.65 + 2*t^8.72 + 3*t^8.93 - t^4.36/y - (3*t^6.79)/y - t^7.07/y + t^7.64/y + (3*t^7.86)/y + (3*t^7.93)/y + (3*t^8.15)/y + (9*t^8.43)/y + (3*t^8.72)/y - t^4.36*y - 3*t^6.79*y - t^7.07*y + t^7.64*y + 3*t^7.86*y + 3*t^7.93*y + 3*t^8.15*y + 9*t^8.43*y + 3*t^8.72*y | (g2^2*t^2.43)/g1 + g2^4*t^2.43 + g1*g2^6*t^2.43 + g2^2*t^2.72 + t^3. + t^3./(g1*g2^2) + g1*g2^2*t^3. + g2^5*t^3.79 + t^4.36/(g1*g2) + g2*t^4.36 + g1*g2^3*t^4.36 + (g2^4*t^4.86)/g1^2 + (g2^6*t^4.86)/g1 + 2*g2^8*t^4.86 + g1*g2^10*t^4.86 + g1^2*g2^12*t^4.86 + t^4.93/(g1^2*g2^7) + t^4.93/(g1*g2^5) + (2*t^4.93)/g2^3 + (g1*t^4.93)/g2 + g1^2*g2*t^4.93 + (g2^4*t^5.15)/g1 + g2^6*t^5.15 + g1*g2^8*t^5.15 + t^5.43/g1^2 + (g2^2*t^5.43)/g1 + 3*g2^4*t^5.43 + g1*g2^6*t^5.43 + g1^2*g2^8*t^5.43 + t^5.72/g1 + g2^2*t^5.72 + g1*g2^4*t^5.72 - 2*t^6. - t^6./(g1*g2^2) - g1*g2^2*t^6. + (g2^7*t^6.22)/g1 + g2^9*t^6.22 + g1*g2^11*t^6.22 + g2^7*t^6.5 - t^6.57/(g1*g2^6) - (2*t^6.57)/g2^4 - (g1*t^6.57)/g2^2 + (g2*t^6.79)/g1^2 + (2*g2^3*t^6.79)/g1 + 3*g2^5*t^6.79 + 2*g1*g2^7*t^6.79 + g1^2*g2^9*t^6.79 + (g2*t^7.07)/g1 + g1*g2^5*t^7.07 + (g2^6*t^7.29)/g1^3 + (g2^8*t^7.29)/g1^2 + (2*g2^10*t^7.29)/g1 + 2*g2^12*t^7.29 + 2*g1*g2^14*t^7.29 + g1^2*g2^16*t^7.29 + g1^3*g2^18*t^7.29 + t^7.36/(g1^3*g2^5) + (2*t^7.36)/(g1^2*g2^3) + (3*t^7.36)/(g1*g2) + 3*g2*t^7.36 + 3*g1*g2^3*t^7.36 + 2*g1^2*g2^5*t^7.36 + g1^3*g2^7*t^7.36 + (g2^6*t^7.58)/g1^2 + (g2^8*t^7.58)/g1 + 3*g2^10*t^7.58 + g1*g2^12*t^7.58 + g1^2*g2^14*t^7.58 + t^7.64/(g1^2*g2^5) + t^7.64/g2 + g1^2*g2^3*t^7.64 + (g2^2*t^7.86)/g1^3 + (g2^4*t^7.86)/g1^2 + (3*g2^6*t^7.86)/g1 + 2*g2^8*t^7.86 + 3*g1*g2^10*t^7.86 + g1^2*g2^12*t^7.86 + g1^3*g2^14*t^7.86 + t^7.93/(g1^3*g2^9) + t^7.93/(g1^2*g2^7) + t^7.93/(g1*g2^5) + (g1*t^7.93)/g2 + g1^2*g2*t^7.93 + g1^3*g2^3*t^7.93 + (g2^2*t^8.15)/g1^2 + (2*g2^4*t^8.15)/g1 + 4*g2^6*t^8.15 + 2*g1*g2^8*t^8.15 + g1^2*g2^10*t^8.15 - t^8.21/(g1^2*g2^9) - t^8.21/(g1*g2^7) - (2*t^8.21)/g2^5 - (g1*t^8.21)/g2^3 - (g1^2*t^8.21)/g2 - t^8.43/g1^2 - (3*g2^2*t^8.43)/g1 - 4*g2^4*t^8.43 - 3*g1*g2^6*t^8.43 - g1^2*g2^8*t^8.43 - t^8.5/(g1*g2^9) - t^8.5/g2^7 - (g1*t^8.5)/g2^5 + (g2^9*t^8.65)/g1^2 + (g2^11*t^8.65)/g1 + 2*g2^13*t^8.65 + g1*g2^15*t^8.65 + g1^2*g2^17*t^8.65 + t^8.72/(g1^2*g2^2) + g1^2*g2^6*t^8.72 + (g2^9*t^8.93)/g1 + g2^11*t^8.93 + g1*g2^13*t^8.93 - (g2*t^4.36)/y - (g2^3*t^6.79)/(g1*y) - (g2^5*t^6.79)/y - (g1*g2^7*t^6.79)/y - (g2^3*t^7.07)/y + t^7.64/(g2*y) + (g2^6*t^7.86)/(g1*y) + (g2^8*t^7.86)/y + (g1*g2^10*t^7.86)/y + t^7.93/(g1*g2^5*y) + t^7.93/(g2^3*y) + (g1*t^7.93)/(g2*y) + (g2^4*t^8.15)/(g1*y) + (g2^6*t^8.15)/y + (g1*g2^8*t^8.15)/y + t^8.43/(g1^2*y) + (2*g2^2*t^8.43)/(g1*y) + (3*g2^4*t^8.43)/y + (2*g1*g2^6*t^8.43)/y + (g1^2*g2^8*t^8.43)/y + t^8.72/(g1*y) + (g2^2*t^8.72)/y + (g1*g2^4*t^8.72)/y - g2*t^4.36*y - (g2^3*t^6.79*y)/g1 - g2^5*t^6.79*y - g1*g2^7*t^6.79*y - g2^3*t^7.07*y + (t^7.64*y)/g2 + (g2^6*t^7.86*y)/g1 + g2^8*t^7.86*y + g1*g2^10*t^7.86*y + (t^7.93*y)/(g1*g2^5) + (t^7.93*y)/g2^3 + (g1*t^7.93*y)/g2 + (g2^4*t^8.15*y)/g1 + g2^6*t^8.15*y + g1*g2^8*t^8.15*y + (t^8.43*y)/g1^2 + (2*g2^2*t^8.43*y)/g1 + 3*g2^4*t^8.43*y + 2*g1*g2^6*t^8.43*y + g1^2*g2^8*t^8.43*y + (t^8.72*y)/g1 + g2^2*t^8.72*y + g1*g2^4*t^8.72*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 |
|---|---|---|---|---|---|---|---|---|
| 55482 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4^2$ + $ M_5M_7$ | 0.7357 | 0.9145 | 0.8046 | [X:[], M:[0.8378, 0.8102, 0.9724, 1.0, 1.0276, 0.7826, 0.9724], q:[0.5673, 0.5949], qb:[0.6225, 0.4051], phi:[0.4525]] | t^2.35 + t^2.43 + t^2.51 + t^2.72 + 2*t^2.92 + t^3. + t^3.79 + t^4.27 + t^4.36 + t^4.44 + t^4.7 + t^4.76 + t^4.78 + t^4.84 + 2*t^4.86 + 2*t^4.93 + t^4.94 + t^5.01 + t^5.03 + t^5.06 + t^5.09 + t^5.15 + t^5.23 + 2*t^5.27 + 2*t^5.35 + 3*t^5.43 + 2*t^5.63 + t^5.72 + 2*t^5.83 - 3*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46406 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ | 0.7478 | 0.9314 | 0.8029 | [X:[], M:[0.7502, 0.889, 1.0, 0.8612, 1.0, 0.7502], q:[0.5555, 0.6943], qb:[0.5555, 0.4445], phi:[0.4375]] | 2*t^2.25 + t^2.58 + t^2.63 + t^2.67 + 2*t^3. + t^3.98 + 2*t^4.31 + 3*t^4.5 + 3*t^4.65 + t^4.73 + 2*t^4.83 + 2*t^4.88 + 2*t^4.92 + 2*t^5.06 + t^5.17 + t^5.21 + 5*t^5.25 + t^5.29 + t^5.33 + t^5.48 + 2*t^5.63 - 3*t^6. - t^4.31/y - t^4.31*y | detail |