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 |
|---|---|---|---|---|---|---|---|---|---|
| 2340 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.7115 | 0.8794 | 0.8092 | [X:[], M:[0.9178, 1.0411, 1.0, 1.0822, 0.8355, 0.9178, 0.9178], q:[0.5, 0.5822], qb:[0.4178, 0.5822], phi:[0.4794]] | [X:[], M:[[-4], [2], [0], [4], [-8], [-4], [-4]], q:[[0], [4]], qb:[[-4], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_1$, $ M_6$, $ M_7$, $ M_3$, $ q_2\tilde{q}_1$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_1M_5$, $ M_5M_6$, $ M_5M_7$, $ M_1^2$, $ M_3M_5$, $ M_1M_6$, $ M_6^2$, $ M_1M_7$, $ M_6M_7$, $ M_7^2$, $ M_5q_2\tilde{q}_1$, $ M_2M_5$, $ M_1M_3$, $ M_3M_6$, $ M_3M_7$, $ M_6q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_6$, $ M_2M_7$ | $q_2^2\tilde{q}_1^2$ | -3 | t^2.51 + 3*t^2.75 + 2*t^3. + t^3.12 + t^3.94 + t^4.19 + 3*t^4.44 + 2*t^4.69 + 3*t^4.93 + t^5.01 + 3*t^5.26 + 6*t^5.51 + t^5.63 + 3*t^5.75 + 3*t^5.88 - 3*t^6. + 2*t^6.12 - 3*t^6.25 + t^6.45 - 2*t^6.49 + 4*t^6.7 + 6*t^6.94 + 8*t^7.19 + 7*t^7.44 + t^7.52 + 5*t^7.69 + 3*t^7.77 + t^7.89 + t^7.93 + 6*t^8.01 + 2*t^8.14 - 2*t^8.18 + 7*t^8.26 + 6*t^8.38 - t^8.51 + 9*t^8.63 - 13*t^8.75 + 9*t^8.88 + t^8.96 - t^4.44/y - t^6.94/y - (2*t^7.19)/y + (2*t^7.69)/y + t^7.93/y + (3*t^8.26)/y + (5*t^8.51)/y + t^8.63/y + (6*t^8.75)/y + (3*t^8.88)/y - t^4.44*y - t^6.94*y - 2*t^7.19*y + 2*t^7.69*y + t^7.93*y + 3*t^8.26*y + 5*t^8.51*y + t^8.63*y + 6*t^8.75*y + 3*t^8.88*y | t^2.51/g1^8 + (3*t^2.75)/g1^4 + 2*t^3. + g1^2*t^3.12 + t^3.94/g1^9 + t^4.19/g1^5 + (3*t^4.44)/g1 + 2*g1^3*t^4.69 + 3*g1^7*t^4.93 + t^5.01/g1^16 + (3*t^5.26)/g1^12 + (6*t^5.51)/g1^8 + t^5.63/g1^6 + (3*t^5.75)/g1^4 + (3*t^5.88)/g1^2 - 3*t^6. + 2*g1^2*t^6.12 - 3*g1^4*t^6.25 + t^6.45/g1^17 - 2*g1^8*t^6.49 + (4*t^6.7)/g1^13 + (6*t^6.94)/g1^9 + (8*t^7.19)/g1^5 + (7*t^7.44)/g1 + t^7.52/g1^24 + 5*g1^3*t^7.69 + (3*t^7.77)/g1^20 + t^7.89/g1^18 + g1^7*t^7.93 + (6*t^8.01)/g1^16 + (2*t^8.14)/g1^14 - 2*g1^11*t^8.18 + (7*t^8.26)/g1^12 + (6*t^8.38)/g1^10 - t^8.51/g1^8 + (9*t^8.63)/g1^6 - (13*t^8.75)/g1^4 + (9*t^8.88)/g1^2 + t^8.96/g1^25 - t^4.44/(g1*y) - t^6.94/(g1^9*y) - (2*t^7.19)/(g1^5*y) + (2*g1^3*t^7.69)/y + (g1^7*t^7.93)/y + (3*t^8.26)/(g1^12*y) + (5*t^8.51)/(g1^8*y) + t^8.63/(g1^6*y) + (6*t^8.75)/(g1^4*y) + (3*t^8.88)/(g1^2*y) - (t^4.44*y)/g1 - (t^6.94*y)/g1^9 - (2*t^7.19*y)/g1^5 + 2*g1^3*t^7.69*y + g1^7*t^7.93*y + (3*t^8.26*y)/g1^12 + (5*t^8.51*y)/g1^8 + (t^8.63*y)/g1^6 + (6*t^8.75*y)/g1^4 + (3*t^8.88*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4330 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.7323 | 0.9198 | 0.7962 | [X:[], M:[0.9203, 1.0399, 1.0, 1.0797, 0.8405, 0.9203, 0.9203, 0.6794], q:[0.5, 0.5797], qb:[0.4203, 0.5797], phi:[0.4801]] | t^2.04 + t^2.52 + 3*t^2.76 + 2*t^3. + t^3.12 + t^4.08 + t^4.2 + 3*t^4.44 + t^4.56 + 2*t^4.68 + 3*t^4.8 + 3*t^4.92 + 3*t^5.04 + t^5.16 + 3*t^5.28 + 6*t^5.52 + t^5.64 + 3*t^5.76 + 3*t^5.88 - 3*t^6. - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1307 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_6$ + $ M_6q_1\tilde{q}_2$ | 0.7046 | 0.8662 | 0.8135 | [X:[], M:[0.9322, 1.0339, 1.0, 1.0678, 0.8644, 0.9322], q:[0.5, 0.5678], qb:[0.4322, 0.5678], phi:[0.483]] | t^2.59 + 2*t^2.8 + 2*t^3. + t^3.1 + t^3.2 + t^4.04 + t^4.25 + 3*t^4.45 + 2*t^4.65 + 3*t^4.86 + t^5.19 + 2*t^5.39 + 3*t^5.59 + t^5.69 + 2*t^5.8 + 2*t^5.9 - t^6. - t^4.45/y - t^4.45*y | detail |