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 |
|---|---|---|---|---|---|---|---|---|---|
| 5470 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_7$ + $ M_1^2$ | 0.5885 | 0.7604 | 0.774 | [X:[], M:[1.0, 0.75, 1.0625, 0.6875, 1.3125, 0.6875, 0.9375], q:[0.625, 0.375], qb:[0.3125, 0.9375], phi:[0.4375]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 4821/8192, c: 6229/8192, M1: 1, M2: 3/4, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 15/16, q1: 5/8, q2: 3/8, qb1: 5/16, qb2: 15/16, phi1: 7/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_2$, $ \phi_1^2$, $ M_7$, $ M_1$, $ M_3$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_2^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_4M_7$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_1M_6$, $ M_2M_7$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_7\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_7^2$, $ M_1\phi_1^2$, $ M_4\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ M_1M_7$, $ M_3\phi_1^2$, $ M_2\phi_1q_2^2$ | $\phi_1^3q_2\tilde{q}_1$ | 0 | 2*t^2.06 + t^2.25 + t^2.62 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.56 + 3*t^4.12 + 2*t^4.31 + t^4.5 + 3*t^4.69 + 3*t^4.88 + 3*t^5.06 + 4*t^5.25 + 3*t^5.44 + 4*t^5.62 + 2*t^5.81 + 5*t^6.19 + 4*t^6.38 + 2*t^6.56 + 4*t^6.75 + 5*t^6.94 + 5*t^7.12 + 6*t^7.31 + 6*t^7.5 + 7*t^7.69 + 6*t^7.88 + t^8.06 + 7*t^8.25 + 6*t^8.44 + 2*t^8.62 + 4*t^8.81 - t^4.31/y - t^6.38/y - t^6.56/y - t^6.94/y + t^7.12/y + (2*t^7.31)/y + (3*t^7.69)/y + (3*t^7.88)/y + (4*t^8.06)/y + (4*t^8.25)/y + (3*t^8.44)/y + (3*t^8.62)/y + (2*t^8.81)/y - t^4.31*y - t^6.38*y - t^6.56*y - t^6.94*y + t^7.12*y + 2*t^7.31*y + 3*t^7.69*y + 3*t^7.88*y + 4*t^8.06*y + 4*t^8.25*y + 3*t^8.44*y + 3*t^8.62*y + 2*t^8.81*y | 2*t^2.06 + t^2.25 + t^2.62 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.56 + 3*t^4.12 + 2*t^4.31 + t^4.5 + 3*t^4.69 + 3*t^4.88 + 3*t^5.06 + 4*t^5.25 + 3*t^5.44 + 4*t^5.62 + 2*t^5.81 + 5*t^6.19 + 4*t^6.38 + 2*t^6.56 + 4*t^6.75 + 5*t^6.94 + 5*t^7.12 + 6*t^7.31 + 6*t^7.5 + 7*t^7.69 + 6*t^7.88 + t^8.06 + 7*t^8.25 + 6*t^8.44 + 2*t^8.62 + 4*t^8.81 - t^4.31/y - t^6.38/y - t^6.56/y - t^6.94/y + t^7.12/y + (2*t^7.31)/y + (3*t^7.69)/y + (3*t^7.88)/y + (4*t^8.06)/y + (4*t^8.25)/y + (3*t^8.44)/y + (3*t^8.62)/y + (2*t^8.81)/y - t^4.31*y - t^6.38*y - t^6.56*y - t^6.94*y + t^7.12*y + 2*t^7.31*y + 3*t^7.69*y + 3*t^7.88*y + 4*t^8.06*y + 4*t^8.25*y + 3*t^8.44*y + 3*t^8.62*y + 2*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 6920 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_7$ + $ M_1^2$ + $ M_3M_8$ | 0.5943 | 0.7701 | 0.7717 | [X:[], M:[1.0, 0.75, 1.0625, 0.6875, 1.3125, 0.6875, 0.9375, 0.9375], q:[0.625, 0.375], qb:[0.3125, 0.9375], phi:[0.4375]] | 2*t^2.06 + t^2.25 + t^2.62 + 2*t^2.81 + t^3. + t^3.38 + t^3.56 + 3*t^4.12 + 2*t^4.31 + t^4.5 + 3*t^4.69 + 5*t^4.88 + 4*t^5.06 + 2*t^5.25 + 3*t^5.44 + 6*t^5.62 + 2*t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 77895/131072, c: 100935/131072, M1: 1, M2: 3/4, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 15/16, M8: 15/16, q1: 5/8, q2: 3/8, qb1: 5/16, qb2: 15/16, phi1: 7/16} |
| 6919 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_7$ + $ M_1^2$ + $ M_7M_8$ | 0.5827 | 0.7507 | 0.7762 | [X:[], M:[1.0, 0.75, 1.0625, 0.6875, 1.3125, 0.6875, 0.9375, 1.0625], q:[0.625, 0.375], qb:[0.3125, 0.9375], phi:[0.4375]] | 2*t^2.06 + t^2.25 + t^2.62 + t^3. + 2*t^3.19 + t^3.38 + t^3.56 + 3*t^4.12 + 2*t^4.31 + t^4.5 + 3*t^4.69 + t^4.88 + 2*t^5.06 + 6*t^5.25 + 3*t^5.44 + 3*t^5.62 + 2*t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 76377/131072, c: 98393/131072, M1: 1, M2: 3/4, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 15/16, M8: 17/16, q1: 5/8, q2: 3/8, qb1: 5/16, qb2: 15/16, phi1: 7/16} |
| 6921 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_7$ + $ M_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.5997 | 0.7794 | 0.7694 | [X:[], M:[1.0, 0.75, 1.0625, 0.6875, 1.3125, 0.6875, 0.9375, 0.875], q:[0.625, 0.375], qb:[0.3125, 0.9375], phi:[0.4375]] | 2*t^2.06 + t^2.25 + 2*t^2.62 + t^2.81 + t^3. + t^3.19 + t^3.56 + 3*t^4.12 + 2*t^4.31 + t^4.5 + 5*t^4.69 + 4*t^4.88 + 3*t^5.06 + 6*t^5.25 + 2*t^5.44 + 4*t^5.62 + 3*t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 9825/16384, c: 12769/16384, M1: 1, M2: 3/4, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 15/16, M8: 7/8, q1: 5/8, q2: 3/8, qb1: 5/16, qb2: 15/16, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3882 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_3M_7$ | 0.6087 | 0.7778 | 0.7826 | [X:[], M:[0.8222, 0.8834, 0.9847, 0.7208, 1.2792, 0.7208, 1.0153], q:[0.7361, 0.4417], qb:[0.2792, 0.8375], phi:[0.4264]] | 2*t^2.16 + t^2.47 + t^2.56 + t^2.65 + t^2.95 + t^3.05 + t^3.44 + t^3.93 + 3*t^4.33 + 2*t^4.63 + 3*t^4.72 + 2*t^4.81 + t^4.93 + t^5.02 + 4*t^5.12 + 3*t^5.21 + t^5.3 + t^5.42 + t^5.51 + 3*t^5.6 + t^5.7 + t^5.91 - t^6. - t^4.28/y - t^4.28*y | detail |