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 |
|---|---|---|---|---|---|---|---|---|---|
| 650 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1^2$ | 0.6814 | 0.8225 | 0.8284 | [X:[], M:[1.0, 1.1613, 0.9353, 1.0, 0.742], q:[0.7903, 0.5323], qb:[0.4677, 0.5323], phi:[0.4193]] | [X:[], M:[[0], [4], [-14], [0], [6]], q:[[1], [7]], qb:[[-7], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_1$, $ M_4$, $ M_2$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_1M_5$, $ M_4M_5$, $ M_3^2$, $ M_2M_5$ | $M_1M_4$ | -2 | t^2.23 + t^2.81 + 2*t^3. + t^3.48 + 2*t^3.97 + t^4.06 + 2*t^4.26 + 4*t^4.45 + t^5.03 + 2*t^5.23 + t^5.61 + t^5.71 - 2*t^6. + t^6.29 + 2*t^6.48 + 4*t^6.68 + t^6.87 + 3*t^6.97 + 2*t^7.06 + 3*t^7.26 + 6*t^7.45 + t^7.84 + 4*t^7.94 + t^8.13 - 2*t^8.23 + 2*t^8.32 + 5*t^8.42 + 3*t^8.52 + 4*t^8.71 - 3*t^8.81 + 9*t^8.9 - t^4.26/y - t^6.48/y - t^7.06/y + t^7.45/y + (2*t^8.03)/y + (2*t^8.23)/y + (2*t^8.81)/y - t^4.26*y - t^6.48*y - t^7.06*y + t^7.45*y + 2*t^8.03*y + 2*t^8.23*y + 2*t^8.81*y | g1^6*t^2.23 + t^2.81/g1^14 + 2*t^3. + g1^4*t^3.48 + 2*g1^8*t^3.97 + t^4.06/g1^16 + (2*t^4.26)/g1^2 + 4*g1^12*t^4.45 + t^5.03/g1^8 + 2*g1^6*t^5.23 + t^5.61/g1^28 + g1^10*t^5.71 - 2*t^6. + t^6.29/g1^10 + 2*g1^4*t^6.48 + 4*g1^18*t^6.68 + t^6.87/g1^30 + 3*g1^8*t^6.97 + (2*t^7.06)/g1^16 + (3*t^7.26)/g1^2 + 6*g1^12*t^7.45 + t^7.84/g1^22 + 4*g1^16*t^7.94 + t^8.13/g1^32 - 2*g1^6*t^8.23 + (2*t^8.32)/g1^18 + t^8.42/g1^42 + 4*g1^20*t^8.42 + (3*t^8.52)/g1^4 + 4*g1^10*t^8.71 - (3*t^8.81)/g1^14 + 9*g1^24*t^8.9 - t^4.26/(g1^2*y) - (g1^4*t^6.48)/y - t^7.06/(g1^16*y) + (g1^12*t^7.45)/y + (2*t^8.03)/(g1^8*y) + (2*g1^6*t^8.23)/y + (2*t^8.81)/(g1^14*y) - (t^4.26*y)/g1^2 - g1^4*t^6.48*y - (t^7.06*y)/g1^16 + g1^12*t^7.45*y + (2*t^8.03*y)/g1^8 + 2*g1^6*t^8.23*y + (2*t^8.81*y)/g1^14 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1034 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1^2$ + $ M_2M_5$ | 0.6675 | 0.805 | 0.8292 | [X:[], M:[1.0, 1.2, 0.8, 1.0, 0.8], q:[0.8, 0.6], qb:[0.4, 0.6], phi:[0.4]] | 2*t^2.4 + 2*t^3. + 2*t^3.6 + 4*t^4.2 + 6*t^4.8 + 2*t^5.4 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 267/400, c: 161/200, M1: 1, M2: 6/5, M3: 4/5, M4: 1, M5: 4/5, q1: 4/5, q2: 3/5, qb1: 2/5, qb2: 3/5, phi1: 2/5} |
| 1036 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1^2$ + $ M_3M_6$ | 0.6784 | 0.8213 | 0.826 | [X:[], M:[1.0, 1.1426, 1.0008, 1.0, 0.714, 0.9992], q:[0.7857, 0.4996], qb:[0.5004, 0.4996], phi:[0.4287]] | t^2.14 + 3*t^3. + t^3.43 + 2*t^3.86 + 4*t^4.28 + 3*t^4.29 + 3*t^5.14 + t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | |
| 1033 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1^2$ + $ M_3^2$ | 0.6784 | 0.8212 | 0.826 | [X:[], M:[1.0, 1.1429, 1.0, 1.0, 0.7143], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | t^2.14 + 3*t^3. + t^3.43 + 2*t^3.86 + 7*t^4.29 + 3*t^5.14 + t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 3723/5488, c: 4507/5488, M1: 1, M2: 8/7, M3: 1, M4: 1, M5: 5/7, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 403 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ | 0.6903 | 0.8344 | 0.8273 | [X:[], M:[0.8831, 1.2074, 0.891, 1.0, 0.6942], q:[0.8018, 0.6129], qb:[0.504, 0.496], phi:[0.3963]] | t^2.08 + t^2.65 + t^2.67 + t^3. + t^3.62 + t^3.89 + 2*t^4.17 + t^4.19 + t^4.21 + t^4.24 + t^4.52 + t^4.54 + t^4.73 + t^4.76 + t^4.87 + t^5.08 + t^5.3 + t^5.32 + t^5.35 + t^5.7 - 2*t^6. - t^4.19/y - t^4.19*y | detail |