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 |
|---|---|---|---|---|---|---|---|---|---|
| 2018 | 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_6q_1\tilde{q}_1$ | 0.6359 | 0.8312 | 0.7651 | [X:[], M:[0.9585, 1.1246, 0.9585, 0.8754, 0.7396, 0.8227], q:[0.7396, 0.3019], qb:[0.4377, 0.4377], phi:[0.5208]] | [X:[], M:[[4], [-12], [4], [12], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_6$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\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_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_6^2$, $ M_1M_5$, $ M_3M_5$, $ M_4M_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_6$, $ M_3M_6$, $ M_1M_4$, $ M_3M_4$, $ M_5\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}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_6\phi_1q_2^2$ | $M_4\phi_1q_2^2$, $ M_6q_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -1 | 3*t^2.22 + t^2.47 + t^2.63 + 2*t^2.88 + t^3.37 + t^3.53 + t^3.78 + 3*t^4.19 + 6*t^4.44 + 3*t^4.69 + 3*t^4.85 + t^4.94 + 7*t^5.09 + t^5.25 + 2*t^5.34 + 2*t^5.5 + t^5.59 + 5*t^5.75 + t^5.84 - t^6. + t^6.16 + t^6.25 + 8*t^6.41 + 11*t^6.66 + t^6.75 + 3*t^6.81 + 3*t^6.91 + 10*t^7.06 + 2*t^7.15 + 11*t^7.31 + t^7.4 + 3*t^7.47 + 3*t^7.56 + 8*t^7.72 + 2*t^7.81 + t^7.88 + 11*t^7.97 + t^8.06 + 2*t^8.13 - 6*t^8.22 + t^8.31 + 10*t^8.38 - 5*t^8.47 + 13*t^8.63 + t^8.72 + t^8.78 + 6*t^8.88 + t^8.97 - t^4.56/y - t^6.78/y - t^7.03/y + (2*t^7.44)/y + (4*t^7.69)/y + (3*t^7.85)/y + (8*t^8.09)/y + (3*t^8.34)/y + (2*t^8.5)/y + (3*t^8.59)/y + (4*t^8.75)/y + t^8.84/y - t^4.56*y - t^6.78*y - t^7.03*y + 2*t^7.44*y + 4*t^7.69*y + 3*t^7.85*y + 8*t^8.09*y + 3*t^8.34*y + 2*t^8.5*y + 3*t^8.59*y + 4*t^8.75*y + t^8.84*y | 3*g1*t^2.22 + t^2.47/g1^7 + g1^12*t^2.63 + 2*g1^4*t^2.88 + t^3.37/g1^12 + g1^7*t^3.53 + t^3.78/g1 + 3*g1^10*t^4.19 + 6*g1^2*t^4.44 + (3*t^4.69)/g1^6 + 3*g1^13*t^4.85 + t^4.94/g1^14 + 7*g1^5*t^5.09 + g1^24*t^5.25 + (2*t^5.34)/g1^3 + 2*g1^16*t^5.5 + t^5.59/g1^11 + 5*g1^8*t^5.75 + t^5.84/g1^19 - t^6. + g1^19*t^6.16 + t^6.25/g1^8 + 8*g1^11*t^6.41 + 11*g1^3*t^6.66 + t^6.75/g1^24 + 3*g1^22*t^6.81 + (3*t^6.91)/g1^5 + 10*g1^14*t^7.06 + (2*t^7.15)/g1^13 + 11*g1^6*t^7.31 + t^7.4/g1^21 + 3*g1^25*t^7.47 + (3*t^7.56)/g1^2 + 8*g1^17*t^7.72 + (2*t^7.81)/g1^10 + g1^36*t^7.88 + 11*g1^9*t^7.97 + t^8.06/g1^18 + 2*g1^28*t^8.13 - 6*g1*t^8.22 + t^8.31/g1^26 + 10*g1^20*t^8.38 - (5*t^8.47)/g1^7 + 13*g1^12*t^8.63 + t^8.72/g1^15 + g1^31*t^8.78 + 6*g1^4*t^8.88 + t^8.97/g1^23 - t^4.56/(g1^2*y) - t^6.78/(g1*y) - t^7.03/(g1^9*y) + (2*g1^2*t^7.44)/y + (4*t^7.69)/(g1^6*y) + (3*g1^13*t^7.85)/y + (8*g1^5*t^8.09)/y + (3*t^8.34)/(g1^3*y) + (2*g1^16*t^8.5)/y + (3*t^8.59)/(g1^11*y) + (4*g1^8*t^8.75)/y + t^8.84/(g1^19*y) - (t^4.56*y)/g1^2 - (t^6.78*y)/g1 - (t^7.03*y)/g1^9 + 2*g1^2*t^7.44*y + (4*t^7.69*y)/g1^6 + 3*g1^13*t^7.85*y + 8*g1^5*t^8.09*y + (3*t^8.34*y)/g1^3 + 2*g1^16*t^8.5*y + (3*t^8.59*y)/g1^11 + 4*g1^8*t^8.75*y + (t^8.84*y)/g1^19 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3072 | $M_1q_1q_2$ + $ 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_6q_1\tilde{q}_1$ + $ M_6\phi_1q_2^2$ | 0.6351 | 0.8324 | 0.7629 | [X:[], M:[0.9474, 1.1579, 0.9474, 0.8421, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 3*t^2.21 + 2*t^2.53 + 2*t^2.84 + 2*t^3.47 + t^3.79 + 3*t^4.11 + 6*t^4.42 + 6*t^4.74 + 9*t^5.05 + 4*t^5.37 + 6*t^5.68 + t^6. - t^4.58/y - t^4.58*y | detail | {a: 4356/6859, c: 22839/27436, M1: 18/19, M2: 22/19, M3: 18/19, M4: 16/19, M5: 14/19, M6: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
| 3073 | $M_1q_1q_2$ + $ 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_6q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.6515 | 0.8572 | 0.76 | [X:[], M:[0.9664, 1.1008, 0.9664, 0.8992, 0.7416, 0.8088, 0.8088], q:[0.7416, 0.292], qb:[0.4496, 0.4496], phi:[0.5168]] | 3*t^2.22 + 2*t^2.43 + t^2.7 + 2*t^2.9 + t^3.3 + t^3.78 + 3*t^4.25 + 6*t^4.45 + 6*t^4.65 + 3*t^4.85 + 3*t^4.92 + 8*t^5.12 + 4*t^5.33 + t^5.39 + t^5.53 + 2*t^5.6 + 2*t^5.73 + 2*t^5.8 - 2*t^6. - t^4.55/y - t^4.55*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |