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 |
|---|---|---|---|---|---|---|---|---|---|
| 1208 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_4M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6342 | 0.7862 | 0.8067 | [X:[], M:[1.1759, 0.7438, 0.8241, 0.8241, 1.1759, 0.784], q:[0.804, 0.4521], qb:[0.3719, 0.804], phi:[0.392]] | [X:[], M:[[-6], [-14], [6], [6], [-6], [-4]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ \phi_1^2$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ M_5$, $ q_1q_2$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_3\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_2M_5$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1^3\tilde{q}_1^2$, $ M_1M_6$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_3\phi_1\tilde{q}_1^2$ | $M_3M_5$, $ \phi_1\tilde{q}_2^2$ | 0 | t^2.23 + 2*t^2.35 + t^2.47 + t^3.41 + 2*t^3.53 + t^3.77 + t^3.89 + t^4.46 + 2*t^4.58 + 4*t^4.7 + 3*t^4.82 + t^4.94 + t^5.64 + 3*t^5.76 + 3*t^5.88 + t^6.12 + 2*t^6.24 + t^6.36 + t^6.69 + 3*t^6.81 + 5*t^6.94 + 7*t^7.06 + 3*t^7.18 + t^7.3 + t^7.66 + t^7.78 + t^7.87 + 3*t^7.99 + 4*t^8.11 + 3*t^8.23 - t^8.35 - 2*t^8.47 + t^8.59 + 2*t^8.71 + t^8.83 + t^8.93 - t^4.18/y - t^6.41/y - (2*t^6.53)/y + (2*t^7.58)/y + (2*t^7.7)/y + (4*t^7.82)/y + t^7.94/y + (2*t^8.76)/y + (2*t^8.88)/y - t^4.18*y - t^6.41*y - 2*t^6.53*y + 2*t^7.58*y + 2*t^7.7*y + 4*t^7.82*y + t^7.94*y + 2*t^8.76*y + 2*t^8.88*y | t^2.23/g1^14 + (2*t^2.35)/g1^4 + g1^6*t^2.47 + t^3.41/g1^16 + (2*t^3.53)/g1^6 + g1^14*t^3.77 + g1^24*t^3.89 + t^4.46/g1^28 + (2*t^4.58)/g1^18 + (4*t^4.7)/g1^8 + 3*g1^2*t^4.82 + g1^12*t^4.94 + t^5.64/g1^30 + (3*t^5.76)/g1^20 + (3*t^5.88)/g1^10 + g1^10*t^6.12 + 2*g1^20*t^6.24 + g1^30*t^6.36 + t^6.69/g1^42 + (3*t^6.81)/g1^32 + (5*t^6.94)/g1^22 + (7*t^7.06)/g1^12 + (3*t^7.18)/g1^2 + g1^8*t^7.3 + g1^38*t^7.66 + g1^48*t^7.78 + t^7.87/g1^44 + (3*t^7.99)/g1^34 + (4*t^8.11)/g1^24 + (3*t^8.23)/g1^14 - t^8.35/g1^4 - 2*g1^6*t^8.47 + g1^16*t^8.59 + 2*g1^26*t^8.71 + g1^36*t^8.83 + t^8.93/g1^56 - t^4.18/(g1^2*y) - t^6.41/(g1^16*y) - (2*t^6.53)/(g1^6*y) + (2*t^7.58)/(g1^18*y) + (2*t^7.7)/(g1^8*y) + (4*g1^2*t^7.82)/y + (g1^12*t^7.94)/y + (2*t^8.76)/(g1^20*y) + (2*t^8.88)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.41*y)/g1^16 - (2*t^6.53*y)/g1^6 + (2*t^7.58*y)/g1^18 + (2*t^7.7*y)/g1^8 + 4*g1^2*t^7.82*y + g1^12*t^7.94*y + (2*t^8.76*y)/g1^20 + (2*t^8.88*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2259 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_4M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_2M_7$ | 0.6152 | 0.7517 | 0.8185 | [X:[], M:[1.1833, 0.761, 0.8167, 0.8167, 1.1833, 0.7888, 1.239], q:[0.8028, 0.4363], qb:[0.3805, 0.8028], phi:[0.3944]] | 2*t^2.37 + t^2.45 + t^3.47 + 2*t^3.55 + 2*t^3.72 + t^3.8 + 3*t^4.73 + 3*t^4.82 + t^4.9 + t^5.83 + 3*t^5.92 - t^6. - t^4.18/y - t^4.18*y | detail | |
| 2256 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_4M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6548 | 0.8265 | 0.7923 | [X:[], M:[1.1725, 0.7357, 0.8275, 0.8275, 1.1725, 0.7816, 0.6898], q:[0.8046, 0.4597], qb:[0.3679, 0.8046], phi:[0.3908]] | t^2.07 + t^2.21 + 2*t^2.34 + t^2.48 + t^3.38 + 2*t^3.52 + t^3.79 + t^4.14 + t^4.28 + 3*t^4.41 + 3*t^4.55 + 4*t^4.69 + 3*t^4.83 + t^4.97 + t^5.45 + 3*t^5.59 + 3*t^5.72 + 4*t^5.86 - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 736 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_4M_5$ | 0.6168 | 0.7552 | 0.8167 | [X:[], M:[1.1785, 0.7498, 0.8215, 0.8215, 1.1785], q:[0.8036, 0.4467], qb:[0.3749, 0.8036], phi:[0.3928]] | t^2.25 + t^2.36 + t^2.46 + t^3.43 + 2*t^3.54 + t^3.64 + t^3.75 + t^3.86 + t^4.5 + t^4.61 + 2*t^4.71 + 2*t^4.82 + t^4.93 + t^5.68 + 2*t^5.78 + 2*t^5.89 + t^6. - t^4.18/y - t^4.18*y | detail |