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 |
|---|---|---|---|---|---|---|---|---|---|
| 926 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6q_1\tilde{q}_2$ | 0.7344 | 0.9115 | 0.8058 | [X:[], M:[0.8102, 1.0, 1.0, 0.8102, 1.0, 0.8102], q:[0.5949, 0.5949], qb:[0.4051, 0.5949], phi:[0.4525]] | [X:[], M:[[6, 1], [-2, -1], [2, 1], [2, -1], [0, 0], [4, 0]], q:[[-4, -1], [-2, 0]], qb:[[2, 0], [0, 1]], phi:[[1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_5$, $ M_2$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_6^2$, $ M_4^2$, $ M_4M_6$, $ M_1M_6$, $ M_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_6\phi_1^2$, $ M_4\phi_1^2$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_2M_4$, $ M_4M_5$, $ M_2M_6$, $ M_1M_5$, $ M_3M_6$, $ M_1M_3$, $ M_5\phi_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$ | $M_2^2$, $ M_3^2$, $ M_2M_5$, $ M_3M_5$ | -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 | g1^4*t^2.43 + (g1^2*t^2.43)/g2 + g1^6*g2*t^2.43 + g1^2*t^2.72 + t^3. + t^3./(g1^2*g2) + g1^2*g2*t^3. + g1^5*t^3.79 + g1*t^4.36 + t^4.36/(g1*g2) + g1^3*g2*t^4.36 + 2*g1^8*t^4.86 + (g1^4*t^4.86)/g2^2 + (g1^6*t^4.86)/g2 + g1^10*g2*t^4.86 + g1^12*g2^2*t^4.86 + (2*t^4.93)/g1^3 + t^4.93/(g1^7*g2^2) + t^4.93/(g1^5*g2) + (g2*t^4.93)/g1 + g1*g2^2*t^4.93 + g1^6*t^5.15 + (g1^4*t^5.15)/g2 + g1^8*g2*t^5.15 + 3*g1^4*t^5.43 + t^5.43/g2^2 + (g1^2*t^5.43)/g2 + g1^6*g2*t^5.43 + g1^8*g2^2*t^5.43 + g1^2*t^5.72 + t^5.72/g2 + g1^4*g2*t^5.72 - 2*t^6. - t^6./(g1^2*g2) - g1^2*g2*t^6. + g1^9*t^6.22 + (g1^7*t^6.22)/g2 + g1^11*g2*t^6.22 + g1^7*t^6.5 - (2*t^6.57)/g1^4 - t^6.57/(g1^6*g2) - (g2*t^6.57)/g1^2 + 3*g1^5*t^6.79 + (g1*t^6.79)/g2^2 + (2*g1^3*t^6.79)/g2 + 2*g1^7*g2*t^6.79 + g1^9*g2^2*t^6.79 + (g1*t^7.07)/g2 + g1^5*g2*t^7.07 + 2*g1^12*t^7.29 + (g1^6*t^7.29)/g2^3 + (g1^8*t^7.29)/g2^2 + (2*g1^10*t^7.29)/g2 + 2*g1^14*g2*t^7.29 + g1^16*g2^2*t^7.29 + g1^18*g2^3*t^7.29 + 3*g1*t^7.36 + t^7.36/(g1^5*g2^3) + (2*t^7.36)/(g1^3*g2^2) + (3*t^7.36)/(g1*g2) + 3*g1^3*g2*t^7.36 + 2*g1^5*g2^2*t^7.36 + g1^7*g2^3*t^7.36 + 3*g1^10*t^7.58 + (g1^6*t^7.58)/g2^2 + (g1^8*t^7.58)/g2 + g1^12*g2*t^7.58 + g1^14*g2^2*t^7.58 + t^7.64/g1 + t^7.64/(g1^5*g2^2) + g1^3*g2^2*t^7.64 + 2*g1^8*t^7.86 + (g1^2*t^7.86)/g2^3 + (g1^4*t^7.86)/g2^2 + (3*g1^6*t^7.86)/g2 + 3*g1^10*g2*t^7.86 + g1^12*g2^2*t^7.86 + g1^14*g2^3*t^7.86 + t^7.93/(g1^9*g2^3) + t^7.93/(g1^7*g2^2) + t^7.93/(g1^5*g2) + (g2*t^7.93)/g1 + g1*g2^2*t^7.93 + g1^3*g2^3*t^7.93 + 4*g1^6*t^8.15 + (g1^2*t^8.15)/g2^2 + (2*g1^4*t^8.15)/g2 + 2*g1^8*g2*t^8.15 + g1^10*g2^2*t^8.15 - (2*t^8.21)/g1^5 - t^8.21/(g1^9*g2^2) - t^8.21/(g1^7*g2) - (g2*t^8.21)/g1^3 - (g2^2*t^8.21)/g1 - 4*g1^4*t^8.43 - t^8.43/g2^2 - (3*g1^2*t^8.43)/g2 - 3*g1^6*g2*t^8.43 - g1^8*g2^2*t^8.43 - t^8.5/g1^7 - t^8.5/(g1^9*g2) - (g2*t^8.5)/g1^5 + 2*g1^13*t^8.65 + (g1^9*t^8.65)/g2^2 + (g1^11*t^8.65)/g2 + g1^15*g2*t^8.65 + g1^17*g2^2*t^8.65 + t^8.72/(g1^2*g2^2) + g1^6*g2^2*t^8.72 + g1^11*t^8.93 + (g1^9*t^8.93)/g2 + g1^13*g2*t^8.93 - (g1*t^4.36)/y - (g1^5*t^6.79)/y - (g1^3*t^6.79)/(g2*y) - (g1^7*g2*t^6.79)/y - (g1^3*t^7.07)/y + t^7.64/(g1*y) + (g1^8*t^7.86)/y + (g1^6*t^7.86)/(g2*y) + (g1^10*g2*t^7.86)/y + t^7.93/(g1^3*y) + t^7.93/(g1^5*g2*y) + (g2*t^7.93)/(g1*y) + (g1^6*t^8.15)/y + (g1^4*t^8.15)/(g2*y) + (g1^8*g2*t^8.15)/y + (3*g1^4*t^8.43)/y + t^8.43/(g2^2*y) + (2*g1^2*t^8.43)/(g2*y) + (2*g1^6*g2*t^8.43)/y + (g1^8*g2^2*t^8.43)/y + (g1^2*t^8.72)/y + t^8.72/(g2*y) + (g1^4*g2*t^8.72)/y - g1*t^4.36*y - g1^5*t^6.79*y - (g1^3*t^6.79*y)/g2 - g1^7*g2*t^6.79*y - g1^3*t^7.07*y + (t^7.64*y)/g1 + g1^8*t^7.86*y + (g1^6*t^7.86*y)/g2 + g1^10*g2*t^7.86*y + (t^7.93*y)/g1^3 + (t^7.93*y)/(g1^5*g2) + (g2*t^7.93*y)/g1 + g1^6*t^8.15*y + (g1^4*t^8.15*y)/g2 + g1^8*g2*t^8.15*y + 3*g1^4*t^8.43*y + (t^8.43*y)/g2^2 + (2*g1^2*t^8.43*y)/g2 + 2*g1^6*g2*t^8.43*y + g1^8*g2^2*t^8.43*y + g1^2*t^8.72*y + (t^8.72*y)/g2 + g1^4*g2*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 |
|---|---|---|---|---|---|---|---|---|
| 1423 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ + $ M_6q_1\tilde{q}_2$ + $ M_1M_6$ | 0.6974 | 0.8566 | 0.8141 | [X:[], M:[1.0278, 0.9445, 1.0555, 0.9167, 1.0, 0.9722], q:[0.4584, 0.5139], qb:[0.4861, 0.5694], phi:[0.4931]] | t^2.75 + t^2.83 + t^2.92 + t^2.96 + t^3. + t^3.08 + t^3.17 + t^4.23 + t^4.31 + 2*t^4.4 + t^4.48 + 2*t^4.56 + t^4.65 + t^4.73 + t^4.9 + t^5.5 + t^5.58 + t^5.67 + t^5.71 + t^5.75 + t^5.79 + t^5.83 + t^5.88 + 2*t^5.92 + t^5.96 - t^6. - t^4.48/y - t^4.48*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 |
|---|---|---|---|---|---|---|---|---|---|
| 590 | 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_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_2M_3$ | 0.7194 | 0.8833 | 0.8145 | [X:[], M:[0.8377, 1.0, 1.0, 0.8377, 1.0], q:[0.5812, 0.5812], qb:[0.4188, 0.5812], phi:[0.4594]] | 2*t^2.51 + t^2.76 + 3*t^3. + t^3.49 + t^3.89 + 3*t^4.38 + 6*t^4.87 + 3*t^5.03 + 2*t^5.27 + 4*t^5.51 + 3*t^5.76 - 2*t^6. - t^4.38/y - t^4.38*y | detail |