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 |
|---|---|---|---|---|---|---|---|---|---|
| 2456 | 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$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_7q_2\tilde{q}_1$ | 0.7065 | 0.8734 | 0.8088 | [X:[], M:[0.9207, 1.0264, 1.0793, 0.8678, 0.9207, 1.0264, 0.9207], q:[0.4604, 0.6189], qb:[0.4604, 0.5132], phi:[0.4868]] | [X:[], M:[[-6], [2], [6], [-10], [-6], [2], [-6]], q:[[-3], [9]], qb:[[-3], [1]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_5$, $ M_7$, $ q_1\tilde{q}_2$, $ M_2$, $ M_6$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4M_5$, $ M_4M_7$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_7$, $ M_5M_7$, $ M_7^2$, $ M_4q_1\tilde{q}_2$, $ M_2M_4$, $ M_4M_6$, $ M_5q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ M_2M_7$, $ M_6M_7$, $ q_1^2\tilde{q}_2^2$ | $M_6q_1\tilde{q}_2$ | -4 | t^2.6 + 3*t^2.76 + t^2.92 + 2*t^3.08 + 3*t^4.22 + 2*t^4.38 + t^4.54 + 2*t^4.7 + t^4.86 + t^5.17 + t^5.21 + 3*t^5.37 + 5*t^5.52 + 4*t^5.68 + 5*t^5.84 - 4*t^6. - t^6.32 - 2*t^6.48 + 3*t^6.83 + 9*t^6.98 + 7*t^7.14 + 7*t^7.3 + 3*t^7.46 - t^7.62 + t^7.78 + t^7.81 + t^7.94 + 3*t^7.97 - t^8.09 + 5*t^8.13 + t^8.25 + 9*t^8.29 + 12*t^8.44 + 5*t^8.6 - 9*t^8.76 - t^4.46/y - t^7.06/y - (2*t^7.22)/y + t^7.38/y - t^7.54/y + (2*t^7.7)/y + t^7.86/y + (3*t^8.37)/y + (4*t^8.52)/y + (5*t^8.68)/y + (6*t^8.84)/y - t^4.46*y - t^7.06*y - 2*t^7.22*y + t^7.38*y - t^7.54*y + 2*t^7.7*y + t^7.86*y + 3*t^8.37*y + 4*t^8.52*y + 5*t^8.68*y + 6*t^8.84*y | t^2.6/g1^10 + (3*t^2.76)/g1^6 + t^2.92/g1^2 + 2*g1^2*t^3.08 + (3*t^4.22)/g1^7 + (2*t^4.38)/g1^3 + g1*t^4.54 + 2*g1^5*t^4.7 + g1^9*t^4.86 + g1^17*t^5.17 + t^5.21/g1^20 + (3*t^5.37)/g1^16 + (5*t^5.52)/g1^12 + (4*t^5.68)/g1^8 + (5*t^5.84)/g1^4 - 4*t^6. - g1^8*t^6.32 - 2*g1^12*t^6.48 + (3*t^6.83)/g1^17 + (9*t^6.98)/g1^13 + (7*t^7.14)/g1^9 + (7*t^7.3)/g1^5 + (3*t^7.46)/g1 - g1^3*t^7.62 + g1^7*t^7.78 + t^7.81/g1^30 + g1^11*t^7.94 + (3*t^7.97)/g1^26 - g1^15*t^8.09 + (5*t^8.13)/g1^22 + g1^19*t^8.25 + (9*t^8.29)/g1^18 + (12*t^8.44)/g1^14 + (5*t^8.6)/g1^10 - (9*t^8.76)/g1^6 - t^4.46/(g1*y) - t^7.06/(g1^11*y) - (2*t^7.22)/(g1^7*y) + t^7.38/(g1^3*y) - (g1*t^7.54)/y + (2*g1^5*t^7.7)/y + (g1^9*t^7.86)/y + (3*t^8.37)/(g1^16*y) + (4*t^8.52)/(g1^12*y) + (5*t^8.68)/(g1^8*y) + (6*t^8.84)/(g1^4*y) - (t^4.46*y)/g1 - (t^7.06*y)/g1^11 - (2*t^7.22*y)/g1^7 + (t^7.38*y)/g1^3 - g1*t^7.54*y + 2*g1^5*t^7.7*y + g1^9*t^7.86*y + (3*t^8.37*y)/g1^16 + (4*t^8.52*y)/g1^12 + (5*t^8.68*y)/g1^8 + (6*t^8.84*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4503 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_8q_1\tilde{q}_2$ | 0.7041 | 0.8687 | 0.8105 | [X:[], M:[0.9272, 1.0243, 1.0728, 0.8786, 0.9272, 1.0243, 0.9272, 1.0243], q:[0.4636, 0.6092], qb:[0.4636, 0.5121], phi:[0.4879]] | t^2.64 + 3*t^2.78 + 3*t^3.07 + 3*t^4.25 + 2*t^4.39 + t^4.54 + 2*t^4.68 + t^4.83 + t^5.12 + t^5.27 + 3*t^5.42 + 4*t^5.56 + 2*t^5.71 + 7*t^5.85 - 6*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1384 | 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$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1^2$ | 0.7 | 0.8606 | 0.8133 | [X:[], M:[0.9396, 1.0201, 1.0604, 0.8994, 0.9396, 1.0201], q:[0.4698, 0.5906], qb:[0.4698, 0.5101], phi:[0.4899]] | t^2.7 + 2*t^2.82 + t^2.94 + 2*t^3.06 + t^3.18 + 3*t^4.29 + 2*t^4.41 + t^4.53 + 2*t^4.65 + t^4.77 + t^5.01 + t^5.4 + 2*t^5.52 + 2*t^5.64 + 3*t^5.76 + 4*t^5.88 - 2*t^6. - t^4.47/y - t^4.47*y | detail |