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 |
|---|---|---|---|---|---|---|---|---|---|
| 5168 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_5M_7$ + $ M_3^2$ | 0.5566 | 0.7011 | 0.7939 | [X:[], M:[0.75, 1.125, 1.0, 0.6875, 1.0625, 1.3125, 0.9375], q:[0.9375, 0.3125], qb:[0.375, 0.625], phi:[0.4375]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 72957/131072, c: 91901/131072, M1: 3/4, M2: 9/8, M3: 1, M4: 11/16, M5: 17/16, M6: 21/16, M7: 15/16, q1: 15/16, q2: 5/16, qb1: 3/8, qb2: 5/8, phi1: 7/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_7$, $ M_3$, $ M_5$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_6$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ q_1\tilde{q}_2$, $ M_4M_7$, $ M_3M_4$, $ M_1M_7$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ M_1M_5$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_7^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_3M_7$, $ M_1\phi_1\tilde{q}_1^2$ | . | 0 | t^2.06 + t^2.25 + t^2.81 + t^3. + t^3.19 + 2*t^3.38 + t^3.56 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + t^4.69 + t^4.88 + 2*t^5.06 + 2*t^5.25 + 2*t^5.44 + 3*t^5.62 + t^5.81 + 3*t^6.19 + 3*t^6.38 + 2*t^6.56 + 3*t^6.75 + 3*t^6.94 + 2*t^7.12 + 2*t^7.31 + 3*t^7.5 + 2*t^7.69 + 3*t^7.88 + t^8.06 + t^8.25 + 3*t^8.44 + 3*t^8.62 + t^8.81 - t^4.31/y - t^6.56/y + t^7.31/y + t^7.88/y + (3*t^8.06)/y + (2*t^8.25)/y + (3*t^8.44)/y + (3*t^8.62)/y + t^8.81/y - t^4.31*y - t^6.56*y + t^7.31*y + t^7.88*y + 3*t^8.06*y + 2*t^8.25*y + 3*t^8.44*y + 3*t^8.62*y + t^8.81*y | t^2.06 + t^2.25 + t^2.81 + t^3. + t^3.19 + 2*t^3.38 + t^3.56 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + t^4.69 + t^4.88 + 2*t^5.06 + 2*t^5.25 + 2*t^5.44 + 3*t^5.62 + t^5.81 + 3*t^6.19 + 3*t^6.38 + 2*t^6.56 + 3*t^6.75 + 3*t^6.94 + 2*t^7.12 + 2*t^7.31 + 3*t^7.5 + 2*t^7.69 + 3*t^7.88 + t^8.06 + t^8.25 + 3*t^8.44 + 3*t^8.62 + t^8.81 - t^4.31/y - t^6.56/y + t^7.31/y + t^7.88/y + (3*t^8.06)/y + (2*t^8.25)/y + (3*t^8.44)/y + (3*t^8.62)/y + t^8.81/y - t^4.31*y - t^6.56*y + t^7.31*y + t^7.88*y + 3*t^8.06*y + 2*t^8.25*y + 3*t^8.44*y + 3*t^8.62*y + 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 |
|---|---|---|---|---|---|---|---|---|
| 6739 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_5M_7$ + $ M_3^2$ + $ M_7M_8$ | 0.5508 | 0.6915 | 0.7966 | [X:[], M:[0.75, 1.125, 1.0, 0.6875, 1.0625, 1.3125, 0.9375, 1.0625], q:[0.9375, 0.3125], qb:[0.375, 0.625], phi:[0.4375]] | t^2.06 + t^2.25 + t^3. + 2*t^3.19 + 2*t^3.38 + t^3.56 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + t^4.69 + t^5.06 + 3*t^5.25 + 3*t^5.44 + 2*t^5.62 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 36099/65536, c: 45315/65536, M1: 3/4, M2: 9/8, M3: 1, M4: 11/16, M5: 17/16, M6: 21/16, M7: 15/16, M8: 17/16, q1: 15/16, q2: 5/16, qb1: 3/8, qb2: 5/8, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3478 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_5M_7$ | 0.5757 | 0.7182 | 0.8016 | [X:[], M:[0.8809, 1.1468, 0.8254, 0.7202, 0.9861, 1.2798, 1.0139], q:[0.8393, 0.2798], qb:[0.4405, 0.7341], phi:[0.4266]] | t^2.16 + t^2.48 + t^2.64 + t^2.96 + t^3.04 + 2*t^3.44 + t^3.84 + t^3.92 + t^4.32 + t^4.64 + t^4.72 + t^4.8 + t^4.95 + 2*t^5.12 + t^5.2 + t^5.29 + t^5.43 + 2*t^5.6 + t^5.68 + 2*t^5.92 - t^6. - t^4.28/y - t^4.28*y | detail |