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 |
|---|---|---|---|---|---|---|---|---|---|
| 1066 | 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6q_1q_2$ | 0.7056 | 0.8857 | 0.7967 | [X:[], M:[0.9833, 1.1185, 0.9833, 0.6778, 0.7796, 0.7796], q:[0.7796, 0.4407], qb:[0.576, 0.4407], phi:[0.4407]] | [X:[], M:[[9], [-4], [9], [-6], [-1], [-1]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_4M_5$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_3M_4$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_5$, $ M_3M_5$, $ M_1M_6$, $ M_3M_6$, $ \phi_1^4$, $ M_2M_4$, $ M_2M_5$, $ M_2M_6$, $ M_1^2$, $ M_1M_3$, $ M_3^2$ | $M_4\phi_1q_2^2$, $ M_4\phi_1\tilde{q}_2^2$ | -2 | t^2.03 + 2*t^2.34 + t^2.64 + 2*t^2.95 + t^3.36 + 2*t^3.97 + 2*t^4.07 + 4*t^4.37 + 4*t^4.68 + t^4.78 + 4*t^4.98 + 5*t^5.29 + t^5.39 + 2*t^5.69 + 3*t^5.9 - 2*t^6. + 2*t^6.1 + 4*t^6.31 + 4*t^6.41 + t^6.61 + 8*t^6.71 + t^6.81 + 2*t^6.92 + 8*t^7.02 + 2*t^7.12 + 7*t^7.32 + 2*t^7.42 + 6*t^7.63 + 2*t^7.73 + 6*t^7.93 - t^8.03 + 3*t^8.13 + 6*t^8.24 - 4*t^8.34 + 4*t^8.44 + 3*t^8.64 + 8*t^8.74 + 6*t^8.85 - 6*t^8.95 - t^4.32/y - t^6.36/y - (2*t^6.66)/y - (2*t^7.27)/y + (4*t^7.37)/y + (2*t^7.68)/y + (6*t^7.98)/y + (5*t^8.29)/y + (2*t^8.59)/y + t^8.9/y - t^4.32*y - t^6.36*y - 2*t^6.66*y - 2*t^7.27*y + 4*t^7.37*y + 2*t^7.68*y + 6*t^7.98*y + 5*t^8.29*y + 2*t^8.59*y + t^8.9*y | t^2.03/g1^6 + (2*t^2.34)/g1 + g1^4*t^2.64 + 2*g1^9*t^2.95 + t^3.36/g1^4 + 2*g1^6*t^3.97 + (2*t^4.07)/g1^12 + (4*t^4.37)/g1^7 + (4*t^4.68)/g1^2 + t^4.78/g1^20 + 4*g1^3*t^4.98 + 5*g1^8*t^5.29 + t^5.39/g1^10 + (2*t^5.69)/g1^5 + 3*g1^18*t^5.9 - 2*t^6. + (2*t^6.1)/g1^18 + 4*g1^5*t^6.31 + (4*t^6.41)/g1^13 + g1^10*t^6.61 + (8*t^6.71)/g1^8 + t^6.81/g1^26 + 2*g1^15*t^6.92 + (8*t^7.02)/g1^3 + (2*t^7.12)/g1^21 + 7*g1^2*t^7.32 + (2*t^7.42)/g1^16 + 6*g1^7*t^7.63 + (2*t^7.73)/g1^11 + 6*g1^12*t^7.93 - t^8.03/g1^6 + (3*t^8.13)/g1^24 + 6*g1^17*t^8.24 - (4*t^8.34)/g1 + (4*t^8.44)/g1^19 + 3*g1^4*t^8.64 + (8*t^8.74)/g1^14 + (2*t^8.85)/g1^32 + 4*g1^27*t^8.85 - 6*g1^9*t^8.95 - (g1^2*t^4.32)/y - t^6.36/(g1^4*y) - (2*g1*t^6.66)/y - (2*g1^11*t^7.27)/y + (4*t^7.37)/(g1^7*y) + (2*t^7.68)/(g1^2*y) + (6*g1^3*t^7.98)/y + (5*g1^8*t^8.29)/y + (2*g1^13*t^8.59)/y + (g1^18*t^8.9)/y - g1^2*t^4.32*y - (t^6.36*y)/g1^4 - 2*g1*t^6.66*y - 2*g1^11*t^7.27*y + (4*t^7.37*y)/g1^7 + (2*t^7.68*y)/g1^2 + 6*g1^3*t^7.98*y + 5*g1^8*t^8.29*y + 2*g1^13*t^8.59*y + g1^18*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 1659 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6q_1q_2$ + $ M_7\phi_1q_2^2$ | 0.7264 | 0.9268 | 0.7838 | [X:[], M:[0.9847, 1.1179, 0.9847, 0.6769, 0.7795, 0.7795, 0.6769], q:[0.7795, 0.441], qb:[0.5743, 0.441], phi:[0.441]] | 2*t^2.03 + 2*t^2.34 + t^2.65 + 2*t^2.95 + t^3.35 + t^3.97 + 4*t^4.06 + 6*t^4.37 + 5*t^4.68 + t^4.77 + 6*t^4.98 + 5*t^5.29 + 2*t^5.38 + 2*t^5.69 + 3*t^5.91 - 2*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 665 | 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_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5q_1q_2$ | 0.688 | 0.8543 | 0.8054 | [X:[], M:[0.9811, 1.1195, 0.9811, 0.6792, 0.7799], q:[0.7799, 0.4403], qb:[0.5786, 0.4403], phi:[0.4403]] | t^2.04 + t^2.34 + t^2.64 + 2*t^2.94 + t^3.36 + t^3.66 + 2*t^3.96 + 2*t^4.08 + 3*t^4.38 + 2*t^4.68 + t^4.79 + 3*t^4.98 + 3*t^5.28 + t^5.4 + 2*t^5.7 + 3*t^5.89 - t^6. - t^4.32/y - t^4.32*y | detail | {a: 30921/44944, c: 19197/22472, M1: 52/53, M2: 178/159, M3: 52/53, M4: 36/53, M5: 124/159, q1: 124/159, q2: 70/159, qb1: 92/159, qb2: 70/159, phi1: 70/159} |