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 |
|---|---|---|---|---|---|---|---|---|---|
| 904 | 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_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1^2q_1\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.6959 | 0.8526 | 0.8162 | [X:[], M:[0.9533, 1.0156, 1.0467, 0.9222, 1.0156], q:[0.4922, 0.5545], qb:[0.4611, 0.5233], phi:[0.4922]] | [X:[], M:[[-6], [2], [6], [-10], [2]], q:[[-1], [7]], qb:[[-5], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_2$, $ M_5$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_2M_4$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_1M_5$ | . | -3 | t^2.77 + t^2.86 + 4*t^3.05 + t^3.14 + t^4.24 + t^4.34 + 2*t^4.43 + 2*t^4.52 + 2*t^4.62 + t^4.71 + t^4.8 + t^5.53 + t^5.63 + 2*t^5.81 + 2*t^5.91 - 3*t^6. + 6*t^6.09 + 2*t^6.19 + t^7.01 + 2*t^7.1 + 2*t^7.2 + 4*t^7.29 + 3*t^7.38 + 4*t^7.48 + 4*t^7.57 + 4*t^7.66 + 2*t^7.76 + 3*t^7.85 + t^7.94 + t^8.3 + t^8.39 + t^8.49 + 3*t^8.58 + 3*t^8.67 - t^8.77 + t^8.86 + 2*t^8.95 - t^4.48/y - t^7.24/y + t^7.43/y - t^7.52/y + t^7.71/y + t^8.63/y + (4*t^8.81)/y + (5*t^8.91)/y - t^4.48*y - t^7.24*y + t^7.43*y - t^7.52*y + t^7.71*y + t^8.63*y + 4*t^8.81*y + 5*t^8.91*y | t^2.77/g1^10 + t^2.86/g1^6 + 4*g1^2*t^3.05 + g1^6*t^3.14 + t^4.24/g1^11 + t^4.34/g1^7 + (2*t^4.43)/g1^3 + 2*g1*t^4.52 + 2*g1^5*t^4.62 + g1^9*t^4.71 + g1^13*t^4.8 + t^5.53/g1^20 + t^5.63/g1^16 + (2*t^5.81)/g1^8 + (2*t^5.91)/g1^4 - 3*t^6. + 6*g1^4*t^6.09 + 2*g1^8*t^6.19 + t^7.01/g1^21 + (2*t^7.1)/g1^17 + (2*t^7.2)/g1^13 + (4*t^7.29)/g1^9 + (3*t^7.38)/g1^5 + (4*t^7.48)/g1 + 4*g1^3*t^7.57 + 4*g1^7*t^7.66 + 2*g1^11*t^7.76 + 3*g1^15*t^7.85 + g1^19*t^7.94 + t^8.3/g1^30 + t^8.39/g1^26 + t^8.49/g1^22 + (3*t^8.58)/g1^18 + (3*t^8.67)/g1^14 - t^8.77/g1^10 + t^8.86/g1^6 + (2*t^8.95)/g1^2 - t^4.48/(g1*y) - t^7.24/(g1^11*y) + t^7.43/(g1^3*y) - (g1*t^7.52)/y + (g1^9*t^7.71)/y + t^8.63/(g1^16*y) + (4*t^8.81)/(g1^8*y) + (5*t^8.91)/(g1^4*y) - (t^4.48*y)/g1 - (t^7.24*y)/g1^11 + (t^7.43*y)/g1^3 - g1*t^7.52*y + g1^9*t^7.71*y + (t^8.63*y)/g1^16 + (4*t^8.81*y)/g1^8 + (5*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 2080 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1^2q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_4X_1$ | 0.6008 | 0.7354 | 0.817 | [X:[1.3846], M:[0.7692, 1.0769, 1.2308, 0.6154, 1.0769], q:[0.4615, 0.7692], qb:[0.3077, 0.6154], phi:[0.4615]] | t^2.31 + 5*t^3.23 + 2*t^3.69 + 3*t^4.15 + 2*t^4.62 + 3*t^5.54 - 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 1320/2197, c: 6463/8788, X1: 18/13, M1: 10/13, M2: 14/13, M3: 16/13, M4: 8/13, M5: 14/13, q1: 6/13, q2: 10/13, qb1: 4/13, qb2: 8/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 581 | 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_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1^2q_1\tilde{q}_2$ | 0.6975 | 0.8554 | 0.8154 | [X:[], M:[0.9459, 1.018, 1.0541, 0.9098], q:[0.491, 0.5631], qb:[0.4549, 0.5271], phi:[0.491]] | t^2.73 + t^2.84 + t^2.95 + 3*t^3.05 + t^3.16 + t^4.2 + t^4.31 + 2*t^4.42 + 2*t^4.53 + 2*t^4.64 + t^4.74 + t^4.85 + t^5.46 + t^5.57 + t^5.68 + 2*t^5.78 + 2*t^5.89 - t^4.47/y - t^4.47*y | detail |