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 |
|---|---|---|---|---|---|---|---|---|---|
| 1351 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6409 | 0.8444 | 0.759 | [X:[], M:[0.9489, 1.1534, 0.9489, 0.8466, 0.7372, 0.7372], q:[0.7372, 0.3139], qb:[0.4233, 0.4233], phi:[0.5256]] | [X:[], M:[[4], [-12], [4], [12], [1], [1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_5$, $ M_4M_6$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_1M_5$, $ M_3M_5$, $ M_1M_6$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4^2$, $ M_1M_4$, $ M_3M_4$, $ M_5\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$ | -5 | 4*t^2.21 + t^2.54 + 2*t^2.85 + t^3.46 + 2*t^3.48 + 3*t^4.12 + 10*t^4.42 + 4*t^4.75 + 8*t^5.06 + t^5.08 + 2*t^5.39 + 2*t^5.67 + 10*t^5.69 - 5*t^6. + 2*t^6.02 + 12*t^6.33 + 16*t^6.63 + 3*t^6.66 + t^6.92 - 2*t^6.94 + 16*t^6.96 - 2*t^7.25 + 15*t^7.27 + 4*t^7.29 - 5*t^7.58 + 12*t^7.6 + t^7.62 + 2*t^7.88 + 22*t^7.9 + 2*t^7.93 - 22*t^8.21 + 15*t^8.23 - 4*t^8.52 + 27*t^8.54 + 2*t^8.56 + 8*t^8.85 + 12*t^8.87 - t^4.58/y - (2*t^6.79)/y + (5*t^7.42)/y + t^7.73/y + (4*t^7.75)/y + (8*t^8.06)/y + (2*t^8.37)/y + (2*t^8.39)/y + (4*t^8.67)/y + (9*t^8.69)/y - t^4.58*y - 2*t^6.79*y + 5*t^7.42*y + t^7.73*y + 4*t^7.75*y + 8*t^8.06*y + 2*t^8.37*y + 2*t^8.39*y + 4*t^8.67*y + 9*t^8.69*y | 4*g1*t^2.21 + g1^12*t^2.54 + 2*g1^4*t^2.85 + t^3.46/g1^12 + 2*g1^7*t^3.48 + 3*g1^10*t^4.12 + 10*g1^2*t^4.42 + 4*g1^13*t^4.75 + 8*g1^5*t^5.06 + g1^24*t^5.08 + 2*g1^16*t^5.39 + (2*t^5.67)/g1^11 + 10*g1^8*t^5.69 - 5*t^6. + 2*g1^19*t^6.02 + 12*g1^11*t^6.33 + 16*g1^3*t^6.63 + 3*g1^22*t^6.66 + t^6.92/g1^24 - (2*t^6.94)/g1^5 + 16*g1^14*t^6.96 - (2*t^7.25)/g1^13 + 15*g1^6*t^7.27 + 4*g1^25*t^7.29 - (5*t^7.58)/g1^2 + 12*g1^17*t^7.6 + g1^36*t^7.62 + (2*t^7.88)/g1^10 + 22*g1^9*t^7.9 + 2*g1^28*t^7.93 - 22*g1*t^8.21 + 15*g1^20*t^8.23 - (4*t^8.52)/g1^7 + 27*g1^12*t^8.54 + 2*g1^31*t^8.56 + 8*g1^4*t^8.85 + 12*g1^23*t^8.87 - t^4.58/(g1^2*y) - (2*t^6.79)/(g1*y) + (5*g1^2*t^7.42)/y + t^7.73/(g1^6*y) + (4*g1^13*t^7.75)/y + (8*g1^5*t^8.06)/y + (2*t^8.37)/(g1^3*y) + (2*g1^16*t^8.39)/y + (4*t^8.67)/(g1^11*y) + (9*g1^8*t^8.69)/y - (t^4.58*y)/g1^2 - (2*t^6.79*y)/g1 + 5*g1^2*t^7.42*y + (t^7.73*y)/g1^6 + 4*g1^13*t^7.75*y + 8*g1^5*t^8.06*y + (2*t^8.37*y)/g1^3 + 2*g1^16*t^8.39*y + (4*t^8.67*y)/g1^11 + 9*g1^8*t^8.69*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 2406 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ | 0.5389 | 0.7023 | 0.7673 | [X:[], M:[1.0769, 0.7692, 1.0769, 1.2308, 0.7692, 0.7692], q:[0.7692, 0.1538], qb:[0.6154, 0.6154], phi:[0.4615]] | 5*t^2.31 + 2*t^3.23 + t^3.69 + 2*t^4.15 + 13*t^4.62 + 3*t^5.08 + 8*t^5.54 - 3*t^6. - t^4.38/y - t^4.38*y | detail | {a: 9471/17576, c: 1543/2197, M1: 14/13, M2: 10/13, M3: 14/13, M4: 16/13, M5: 10/13, M6: 10/13, q1: 10/13, q2: 2/13, qb1: 8/13, qb2: 8/13, phi1: 6/13} |
| 2407 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6554 | 0.8671 | 0.7559 | [X:[], M:[0.9578, 1.1265, 0.9578, 0.8735, 0.7395, 0.7395, 0.8238], q:[0.7395, 0.3027], qb:[0.4367, 0.4367], phi:[0.5211]] | 4*t^2.22 + t^2.47 + t^2.62 + 2*t^2.87 + t^3.38 + t^3.53 + 3*t^4.18 + 10*t^4.44 + 4*t^4.69 + 4*t^4.84 + t^4.94 + 9*t^5.09 + t^5.24 + 2*t^5.34 + 2*t^5.49 + 2*t^5.6 + 6*t^5.75 + t^5.85 - 4*t^6. - t^4.56/y - t^4.56*y | detail | |
| 2405 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ \phi_1q_2^3\tilde{q}_2$ | 0.6303 | 0.8462 | 0.7448 | [X:[], M:[0.9091, 1.2727, 0.9091, 0.7273, 0.7273, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | 5*t^2.18 + 2*t^2.73 + 2*t^3.27 + 4*t^3.82 + 15*t^4.36 + 10*t^4.91 + 12*t^5.45 + 12*t^6. - t^4.64/y - t^4.64*y | detail | {a: 6711/10648, c: 4505/5324, M1: 10/11, M2: 14/11, M3: 10/11, M4: 8/11, M5: 8/11, M6: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 855 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6214 | 0.8083 | 0.7688 | [X:[], M:[0.9495, 1.1514, 0.9495, 0.8486, 0.7374], q:[0.7374, 0.3131], qb:[0.4243, 0.4243], phi:[0.5252]] | 3*t^2.21 + t^2.55 + 2*t^2.85 + t^3.45 + 2*t^3.49 + t^3.79 + 3*t^4.12 + 6*t^4.42 + 3*t^4.76 + 6*t^5.06 + t^5.09 + 2*t^5.39 + t^5.67 + 8*t^5.7 - 2*t^6. - t^4.58/y - t^4.58*y | detail |