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 |
|---|---|---|---|---|---|---|---|---|---|
| 1483 | 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$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_5M_6$ | 0.6937 | 0.8506 | 0.8156 | [X:[], M:[0.9796, 1.0068, 1.0204, 0.966, 1.034, 0.966], q:[0.517, 0.5034], qb:[0.4626, 0.5306], phi:[0.4966]] | [X:[], M:[[-6], [2], [6], [-10], [10], [-10]], q:[[5], [1]], qb:[[-11], [9]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_1M_4$, $ M_1M_6$, $ M_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_4$, $ M_2M_6$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$ | . | -2 | 2*t^2.9 + t^2.94 + t^2.98 + t^3.02 + t^3.06 + t^3.14 + t^4.27 + t^4.39 + t^4.43 + t^4.47 + t^4.51 + t^4.55 + 2*t^4.59 + t^4.63 + t^4.67 + 2*t^5.8 + t^5.84 + 2*t^5.88 + 2*t^5.92 + 2*t^5.96 - 2*t^6. + t^6.04 + t^6.08 + t^6.12 + t^6.29 + 2*t^7.16 + t^7.2 + t^7.24 + t^7.29 + 2*t^7.33 + 2*t^7.37 + 3*t^7.41 + 2*t^7.45 + 2*t^7.49 + 2*t^7.53 + 4*t^7.57 + 2*t^7.61 + 2*t^7.65 + 2*t^7.73 + t^7.78 + t^7.82 + t^8.53 + t^8.65 + 3*t^8.69 + t^8.73 + 2*t^8.78 + 3*t^8.82 + 4*t^8.86 - 2*t^8.9 - 2*t^8.98 - t^4.49/y - t^7.39/y + t^7.59/y + t^8.8/y + (2*t^8.84)/y + (2*t^8.88)/y + (3*t^8.92)/y + (3*t^8.96)/y - t^4.49*y - t^7.39*y + t^7.59*y + t^8.8*y + 2*t^8.84*y + 2*t^8.88*y + 3*t^8.92*y + 3*t^8.96*y | (2*t^2.9)/g1^10 + t^2.94/g1^6 + t^2.98/g1^2 + g1^2*t^3.02 + g1^6*t^3.06 + g1^14*t^3.14 + t^4.27/g1^23 + t^4.39/g1^11 + t^4.43/g1^7 + t^4.47/g1^3 + g1*t^4.51 + g1^5*t^4.55 + 2*g1^9*t^4.59 + g1^13*t^4.63 + g1^17*t^4.67 + (2*t^5.8)/g1^20 + t^5.84/g1^16 + (2*t^5.88)/g1^12 + (2*t^5.92)/g1^8 + (2*t^5.96)/g1^4 - 2*t^6. + g1^4*t^6.04 + g1^8*t^6.08 + g1^12*t^6.12 + g1^28*t^6.29 + (2*t^7.16)/g1^33 + t^7.2/g1^29 + t^7.24/g1^25 + t^7.29/g1^21 + (2*t^7.33)/g1^17 + (2*t^7.37)/g1^13 + (3*t^7.41)/g1^9 + (2*t^7.45)/g1^5 + (2*t^7.49)/g1 + 2*g1^3*t^7.53 + 4*g1^7*t^7.57 + 2*g1^11*t^7.61 + 2*g1^15*t^7.65 + 2*g1^23*t^7.73 + g1^27*t^7.78 + g1^31*t^7.82 + t^8.53/g1^46 + t^8.65/g1^34 + (3*t^8.69)/g1^30 + t^8.73/g1^26 + (2*t^8.78)/g1^22 + (3*t^8.82)/g1^18 + (4*t^8.86)/g1^14 - (2*t^8.9)/g1^10 - (2*t^8.98)/g1^2 - t^4.49/(g1*y) - t^7.39/(g1^11*y) + (g1^9*t^7.59)/y + t^8.8/(g1^20*y) + (2*t^8.84)/(g1^16*y) + (2*t^8.88)/(g1^12*y) + (3*t^8.92)/(g1^8*y) + (3*t^8.96)/(g1^4*y) - (t^4.49*y)/g1 - (t^7.39*y)/g1^11 + g1^9*t^7.59*y + (t^8.8*y)/g1^20 + (2*t^8.84*y)/g1^16 + (2*t^8.88*y)/g1^12 + (3*t^8.92*y)/g1^8 + (3*t^8.96*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2591 | $M_1q_1q_2$ + $ 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$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1\tilde{q}_2^2$ | 0.5493 | 0.711 | 0.7725 | [X:[], M:[0.8235, 1.0588, 1.1765, 0.7059, 1.2941, 0.7059], q:[0.6471, 0.5294], qb:[0.1765, 0.7647], phi:[0.4706]] | 2*t^2.12 + 2*t^2.47 + t^2.82 + t^3.18 + 2*t^3.53 + t^3.88 + 4*t^4.24 + 4*t^4.59 + 5*t^4.94 + 5*t^5.29 + 4*t^5.65 + 2*t^6. - t^4.41/y - t^4.41*y | detail | {a: 5397/9826, c: 13973/19652, M1: 14/17, M2: 18/17, M3: 20/17, M4: 12/17, M5: 22/17, M6: 12/17, q1: 11/17, q2: 9/17, qb1: 3/17, qb2: 13/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 958 | 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$ + $ M_2\phi_1^2$ + $ M_1M_3$ | 0.6916 | 0.8474 | 0.8161 | [X:[], M:[0.9938, 1.0021, 1.0062, 0.9897, 1.0103], q:[0.5051, 0.501], qb:[0.4887, 0.5092], phi:[0.499]] | t^2.97 + t^2.98 + t^2.99 + t^3.01 + t^3.02 + t^3.03 + t^3.04 + t^4.43 + t^4.47 + t^4.48 + t^4.49 + t^4.5 + t^4.52 + 2*t^4.53 + t^4.54 + t^4.55 + t^5.96 + t^5.98 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail |