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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[-6], [2], [6], [-10], [-6], [2]], 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$, $ q_1\tilde{q}_2$, $ M_2$, $ M_6$, $ q_2\tilde{q}_1$, $ \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_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4q_1\tilde{q}_2$, $ M_2M_4$, $ M_4M_6$, $ M_5q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ M_4q_2\tilde{q}_1$, $ q_1^2\tilde{q}_2^2$ | $M_6q_1\tilde{q}_2$ | -2 | 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^6.12 + t^6.24 - t^6.36 + 3*t^6.99 + 6*t^7.11 + 5*t^7.23 + 6*t^7.35 + 4*t^7.47 + 2*t^7.71 + 2*t^7.83 + t^8.07 + t^8.09 + t^8.19 + 2*t^8.22 + 2*t^8.34 + 4*t^8.46 + 9*t^8.58 + 2*t^8.7 - 3*t^8.82 + 3*t^8.94 - t^4.47/y - t^7.17/y - t^7.29/y + t^7.41/y - t^7.53/y + t^7.65/y + t^7.77/y + (2*t^8.52)/y + (2*t^8.64)/y + (4*t^8.76)/y + (5*t^8.88)/y - t^4.47*y - t^7.17*y - t^7.29*y + t^7.41*y - t^7.53*y + t^7.65*y + t^7.77*y + 2*t^8.52*y + 2*t^8.64*y + 4*t^8.76*y + 5*t^8.88*y | t^2.7/g1^10 + (2*t^2.82)/g1^6 + t^2.94/g1^2 + 2*g1^2*t^3.06 + g1^6*t^3.18 + (3*t^4.29)/g1^7 + (2*t^4.41)/g1^3 + g1*t^4.53 + 2*g1^5*t^4.65 + g1^9*t^4.77 + g1^17*t^5.01 + t^5.4/g1^20 + (2*t^5.52)/g1^16 + (2*t^5.64)/g1^12 + (3*t^5.76)/g1^8 + (4*t^5.88)/g1^4 - 2*t^6. + g1^4*t^6.12 + g1^8*t^6.24 - g1^12*t^6.36 + (3*t^6.99)/g1^17 + (6*t^7.11)/g1^13 + (5*t^7.23)/g1^9 + (6*t^7.35)/g1^5 + (4*t^7.47)/g1 + 2*g1^7*t^7.71 + 2*g1^11*t^7.83 + g1^19*t^8.07 + t^8.09/g1^30 + g1^23*t^8.19 + (2*t^8.22)/g1^26 + (2*t^8.34)/g1^22 + (4*t^8.46)/g1^18 + (9*t^8.58)/g1^14 + (2*t^8.7)/g1^10 - (3*t^8.82)/g1^6 + (3*t^8.94)/g1^2 - t^4.47/(g1*y) - t^7.17/(g1^11*y) - t^7.29/(g1^7*y) + t^7.41/(g1^3*y) - (g1*t^7.53)/y + (g1^5*t^7.65)/y + (g1^9*t^7.77)/y + (2*t^8.52)/(g1^16*y) + (2*t^8.64)/(g1^12*y) + (4*t^8.76)/(g1^8*y) + (5*t^8.88)/(g1^4*y) - (t^4.47*y)/g1 - (t^7.17*y)/g1^11 - (t^7.29*y)/g1^7 + (t^7.41*y)/g1^3 - g1*t^7.53*y + g1^5*t^7.65*y + g1^9*t^7.77*y + (2*t^8.52*y)/g1^16 + (2*t^8.64*y)/g1^12 + (4*t^8.76*y)/g1^8 + (5*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 2456 | $M_1q_1q_2$ + $ 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]] | 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^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 |
|---|---|---|---|---|---|---|---|---|---|
| 899 | 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$ | 0.702 | 0.8645 | 0.812 | [X:[], M:[0.933, 1.0223, 1.067, 0.8883, 0.933], q:[0.4665, 0.6005], qb:[0.4665, 0.5112], phi:[0.4888]] | t^2.66 + 2*t^2.8 + 2*t^2.93 + t^3.07 + t^3.2 + 3*t^4.27 + 2*t^4.4 + t^4.53 + 2*t^4.67 + t^4.8 + t^5.07 + t^5.33 + 2*t^5.46 + 3*t^5.6 + 4*t^5.73 + 4*t^5.87 - 2*t^6. - t^4.47/y - t^4.47*y | detail |