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 |
|---|---|---|---|---|---|---|---|---|---|
| 732 | 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_5q_1q_2$ + $ M_1M_4$ | 0.651 | 0.8164 | 0.7974 | [X:[], M:[1.1768, 0.7458, 0.8232, 0.8232, 0.7458], q:[0.8039, 0.4503], qb:[0.3729, 0.8039], phi:[0.3923]] | [X:[], M:[[-6], [-14], [6], [6], [-14]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_3M_5$, $ M_4M_5$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_1M_5$, $ \phi_1^3\tilde{q}_1^2$, $ M_1\phi_1^2$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$ | 0 | 2*t^2.24 + t^2.35 + 2*t^2.47 + t^3.41 + t^3.53 + t^3.65 + t^3.88 + 3*t^4.47 + 2*t^4.59 + 5*t^4.71 + 3*t^4.82 + 3*t^4.94 + 2*t^5.65 + 2*t^5.77 + 3*t^5.88 + 2*t^6.12 + 2*t^6.35 + 4*t^6.71 + 4*t^6.83 + 8*t^6.94 + 6*t^7.06 + 6*t^7.18 + 2*t^7.29 + 2*t^7.41 + t^7.76 + 3*t^7.89 + 3*t^8.01 + 5*t^8.12 - t^8.24 + 2*t^8.35 - 4*t^8.47 + t^8.59 + 3*t^8.82 + 5*t^8.95 - t^4.18/y - (2*t^6.41)/y - t^6.53/y - t^6.65/y + t^7.47/y + (2*t^7.59)/y + (5*t^7.71)/y + (3*t^7.82)/y + (3*t^7.94)/y - t^8.65/y + t^8.77/y + (2*t^8.88)/y - t^4.18*y - 2*t^6.41*y - t^6.53*y - t^6.65*y + t^7.47*y + 2*t^7.59*y + 5*t^7.71*y + 3*t^7.82*y + 3*t^7.94*y - t^8.65*y + t^8.77*y + 2*t^8.88*y | (2*t^2.24)/g1^14 + t^2.35/g1^4 + 2*g1^6*t^2.47 + t^3.41/g1^16 + t^3.53/g1^6 + g1^4*t^3.65 + g1^24*t^3.88 + (3*t^4.47)/g1^28 + (2*t^4.59)/g1^18 + (5*t^4.71)/g1^8 + 3*g1^2*t^4.82 + 3*g1^12*t^4.94 + (2*t^5.65)/g1^30 + (2*t^5.77)/g1^20 + (3*t^5.88)/g1^10 + 2*g1^10*t^6.12 + 2*g1^30*t^6.35 + (4*t^6.71)/g1^42 + (4*t^6.83)/g1^32 + (8*t^6.94)/g1^22 + (6*t^7.06)/g1^12 + (6*t^7.18)/g1^2 + 2*g1^8*t^7.29 + 2*g1^18*t^7.41 + g1^48*t^7.76 + (3*t^7.89)/g1^44 + (3*t^8.01)/g1^34 + (5*t^8.12)/g1^24 - t^8.24/g1^14 + (2*t^8.35)/g1^4 - 4*g1^6*t^8.47 + g1^16*t^8.59 + 3*g1^36*t^8.82 + (5*t^8.95)/g1^56 - t^4.18/(g1^2*y) - (2*t^6.41)/(g1^16*y) - t^6.53/(g1^6*y) - (g1^4*t^6.65)/y + t^7.47/(g1^28*y) + (2*t^7.59)/(g1^18*y) + (5*t^7.71)/(g1^8*y) + (3*g1^2*t^7.82)/y + (3*g1^12*t^7.94)/y - t^8.65/(g1^30*y) + t^8.77/(g1^20*y) + (2*t^8.88)/(g1^10*y) - (t^4.18*y)/g1^2 - (2*t^6.41*y)/g1^16 - (t^6.53*y)/g1^6 - g1^4*t^6.65*y + (t^7.47*y)/g1^28 + (2*t^7.59*y)/g1^18 + (5*t^7.71*y)/g1^8 + 3*g1^2*t^7.82*y + 3*g1^12*t^7.94*y - (t^8.65*y)/g1^30 + (t^8.77*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 |
|---|---|---|---|---|---|---|---|---|
| 1203 | $\phi_1q_1^2$ + $ 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_5q_1q_2$ + $ M_1M_4$ + $ M_1M_6$ | 0.6662 | 0.8424 | 0.7908 | [X:[], M:[1.1807, 0.7549, 0.8193, 0.8193, 0.7549, 0.8193], q:[0.8032, 0.4418], qb:[0.3775, 0.8032], phi:[0.3936]] | 2*t^2.26 + t^2.36 + 3*t^2.46 + t^3.45 + t^3.64 + t^3.83 + 3*t^4.53 + 2*t^4.63 + 7*t^4.72 + 4*t^4.82 + 6*t^4.92 + 2*t^5.71 + 3*t^5.9 - 2*t^6. - t^4.18/y - t^4.18*y | detail | |
| 1201 | $\phi_1q_1^2$ + $ 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_5q_1q_2$ + $ M_1M_4$ + $ M_3M_6$ | 0.6362 | 0.7913 | 0.804 | [X:[], M:[1.1727, 0.7364, 0.8273, 0.8273, 0.7364, 1.1727], q:[0.8045, 0.4591], qb:[0.3682, 0.8045], phi:[0.3909]] | 2*t^2.21 + t^2.35 + t^2.48 + t^3.38 + 2*t^3.52 + t^3.65 + t^3.93 + 3*t^4.42 + 2*t^4.55 + 3*t^4.69 + 2*t^4.83 + t^4.96 + 2*t^5.59 + 4*t^5.73 + 3*t^5.86 - t^4.17/y - t^4.17*y | detail | |
| 1204 | $\phi_1q_1^2$ + $ 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_5q_1q_2$ + $ M_1M_4$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6685 | 0.8477 | 0.7886 | [X:[], M:[1.1747, 0.7409, 0.8253, 0.8253, 0.7409, 0.7831], q:[0.8042, 0.4549], qb:[0.3704, 0.8042], phi:[0.3916]] | 2*t^2.22 + 2*t^2.35 + 2*t^2.48 + t^3.4 + t^3.52 + t^3.9 + 3*t^4.45 + 4*t^4.57 + 7*t^4.7 + 5*t^4.83 + 3*t^4.95 + 2*t^5.62 + 3*t^5.75 + 2*t^5.87 - t^6. - t^4.17/y - t^4.17*y | detail | |
| 1984 | $\phi_1q_1^2$ + $ 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_5q_1q_2$ + $ M_1M_4$ + $ M_6\phi_1q_2^2$ | 0.6716 | 0.8566 | 0.784 | [X:[], M:[1.1734, 0.7379, 0.8266, 0.8266, 0.7379, 0.6935], q:[0.8044, 0.4577], qb:[0.3689, 0.8044], phi:[0.3911]] | t^2.08 + 2*t^2.21 + t^2.35 + 2*t^2.48 + t^3.39 + t^3.52 + t^3.65 + t^4.16 + 2*t^4.29 + 4*t^4.43 + 4*t^4.56 + 5*t^4.69 + 3*t^4.83 + 3*t^4.96 + t^5.47 + 3*t^5.6 + 3*t^5.73 + 3*t^5.87 - t^4.17/y - t^4.17*y | detail | |
| 1202 | $\phi_1q_1^2$ + $ 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_5q_1q_2$ + $ M_1M_4$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6644 | 0.8389 | 0.792 | [X:[], M:[1.1879, 0.7717, 0.8121, 0.8121, 0.7717, 0.8324], q:[0.802, 0.4263], qb:[0.3858, 0.802], phi:[0.396]] | 2*t^2.31 + t^2.38 + 2*t^2.44 + t^2.5 + t^3.56 + t^3.62 + t^3.75 + 3*t^4.63 + 2*t^4.69 + 5*t^4.75 + 5*t^4.81 + 4*t^4.87 + 2*t^4.93 + t^4.99 + t^5.88 + t^5.94 - t^4.19/y - t^4.19*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 |
|---|---|---|---|---|---|---|---|---|---|
| 438 | 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_5q_1q_2$ | 0.7163 | 0.8881 | 0.8066 | [X:[], M:[0.9996, 0.9212, 1.0004, 0.7481, 0.6689], q:[0.7913, 0.5398], qb:[0.4606, 0.539], phi:[0.4173]] | t^2.01 + t^2.24 + t^2.5 + t^2.76 + 2*t^3. + t^3.99 + t^4.01 + t^4.02 + 3*t^4.25 + 4*t^4.49 + t^4.51 + t^4.75 + t^4.77 + 4*t^5.01 + t^5.24 + t^5.25 + t^5.27 + t^5.5 + t^5.51 + t^5.53 - t^6. - t^4.25/y - t^4.25*y | detail |