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 |
|---|---|---|---|---|---|---|---|---|---|
| 5170 | 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_5M_8$ | 0.5751 | 0.7179 | 0.801 | [X:[], M:[0.8569, 1.1428, 0.8575, 0.7142, 1.0002, 1.2858, 0.9998, 0.9998], q:[0.8574, 0.2858], qb:[0.4284, 0.7141], phi:[0.4286]] | [X:[], M:[[12], [2], [-16], [3], [-7], [-3], [7], [7]], q:[[-9], [-3]], qb:[[6], [10]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_1$, $ M_7$, $ M_8$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_6$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_7$, $ M_4M_8$, $ M_1^2$, $ M_3^2$, $ M_3M_7$, $ M_3M_8$, $ M_2M_4$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_1M_7$, $ M_1M_8$, $ \phi_1\tilde{q}_2^2$ | $M_1M_2$, $ M_2M_3$, $ M_7^2$, $ M_7M_8$, $ M_8^2$, $ M_4\phi_1\tilde{q}_1^2$ | 4 | t^2.14 + 2*t^2.57 + 2*t^3. + 2*t^3.43 + 2*t^3.86 + t^4.29 + 2*t^4.71 + t^4.72 + 4*t^5.14 + t^5.15 + 4*t^5.57 + 4*t^6. + 5*t^6.43 + 3*t^6.86 + 4*t^7.28 + t^7.29 + 7*t^7.71 + 2*t^7.72 + 4*t^8.14 + 4*t^8.57 - t^4.29/y - (2*t^6.86)/y + (2*t^7.71)/y + (2*t^7.72)/y + (3*t^8.14)/y + (6*t^8.57)/y - t^4.29*y - 2*t^6.86*y + 2*t^7.71*y + 2*t^7.72*y + 3*t^8.14*y + 6*t^8.57*y | g1^3*t^2.14 + t^2.57/g1^16 + g1^12*t^2.57 + 2*g1^7*t^3. + 2*g1^2*t^3.43 + t^3.86/g1^3 + g1^11*t^3.86 + g1^6*t^4.29 + g1*t^4.71 + g1^15*t^4.71 + t^4.72/g1^13 + t^5.14/g1^4 + 2*g1^10*t^5.14 + g1^24*t^5.14 + t^5.15/g1^32 + t^5.57/g1^9 + g1^5*t^5.57 + 2*g1^19*t^5.57 - 2*t^6. + t^6./g1^14 + 5*g1^14*t^6. + t^6.43/g1^19 - t^6.43/g1^5 + 4*g1^9*t^6.43 + g1^23*t^6.43 - t^6.86/g1^10 + 2*g1^4*t^6.86 + 2*g1^18*t^6.86 + 3*g1^13*t^7.28 + g1^27*t^7.28 + t^7.29/g1^29 + 3*g1^8*t^7.71 + 3*g1^22*t^7.71 + g1^36*t^7.71 + t^7.72/g1^48 + t^7.72/g1^20 + t^8.14/g1^25 - t^8.14/g1^11 - g1^3*t^8.14 + 3*g1^17*t^8.14 + 2*g1^31*t^8.14 + t^8.57/g1^30 - (2*t^8.57)/g1^16 + t^8.57/g1^2 - g1^12*t^8.57 + 5*g1^26*t^8.57 - t^4.29/(g1*y) - t^6.86/(g1^17*y) - (g1^11*t^6.86)/y + t^7.29/(g1^8*y) - (g1^6*t^7.29)/y + (2*g1^15*t^7.71)/y + (2*t^7.72)/(g1^13*y) + t^8.14/(g1^4*y) + (2*g1^10*t^8.14)/y + (2*t^8.57)/(g1^9*y) + (2*g1^5*t^8.57)/y + (2*g1^19*t^8.57)/y - (t^4.29*y)/g1 - (t^6.86*y)/g1^17 - g1^11*t^6.86*y + (t^7.29*y)/g1^8 - g1^6*t^7.29*y + 2*g1^15*t^7.71*y + (2*t^7.72*y)/g1^13 + (t^8.14*y)/g1^4 + 2*g1^10*t^8.14*y + (2*t^8.57*y)/g1^9 + 2*g1^5*t^8.57*y + 2*g1^19*t^8.57*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 |
|---|---|---|---|---|---|---|---|---|
| 6717 | $M_1q_1q_2$ + $ 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_5M_8$ + $ M_3^2$ | 0.5624 | 0.7108 | 0.7912 | [X:[], M:[0.75, 1.125, 1.0, 0.6875, 1.0625, 1.3125, 0.9375, 0.9375], q:[0.9375, 0.3125], qb:[0.375, 0.625], phi:[0.4375]] | t^2.06 + t^2.25 + 2*t^2.81 + t^3. + 2*t^3.38 + t^3.56 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + t^4.69 + 2*t^4.88 + 3*t^5.06 + t^5.25 + t^5.44 + 5*t^5.62 + 2*t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 18429/32768, c: 23293/32768, M1: 3/4, M2: 9/8, M3: 1, M4: 11/16, M5: 17/16, M6: 21/16, M7: 15/16, M8: 15/16, q1: 15/16, q2: 5/16, qb1: 3/8, qb2: 5/8, phi1: 7/16} |
| 6719 | $M_1q_1q_2$ + $ 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_5M_8$ + $ M_6M_9$ | 0.5953 | 0.7562 | 0.7872 | [X:[], M:[0.8541, 1.1424, 0.8611, 0.7135, 1.0018, 1.2865, 0.9982, 0.9982, 0.7135], q:[0.8594, 0.2865], qb:[0.4271, 0.7118], phi:[0.4288]] | 2*t^2.14 + t^2.56 + t^2.58 + 2*t^2.99 + 2*t^3.43 + t^3.85 + 3*t^4.28 + 2*t^4.7 + t^4.71 + 2*t^4.72 + t^5.12 + 4*t^5.14 + t^5.15 + t^5.17 + 2*t^5.56 + 3*t^5.57 + t^5.58 + 6*t^5.99 - 3*t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |