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 |
|---|---|---|---|---|---|---|---|---|---|
| 1838 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_1q_2$ | 0.6925 | 0.9093 | 0.7615 | [X:[], M:[1.1463, 0.7074, 0.6769, 0.6769, 0.8231], q:[0.75, 0.4269], qb:[0.4269, 0.3963], phi:[0.5]] | [X:[], M:[[2], [-4], [-1], [-1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_2$, $ M_5$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_2^2$, $ M_3M_5$, $ M_4M_5$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_2q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_2\phi_1^2$, $ M_1M_3$, $ M_1M_4$, $ M_5\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_2q_1\tilde{q}_2$, $ M_2q_1\tilde{q}_1$, $ M_1M_5$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_5q_1\tilde{q}_1$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | -2 | 2*t^2.03 + t^2.12 + 3*t^2.47 + t^3. + 2*t^3.44 + t^3.53 + 6*t^4.06 + 2*t^4.15 + t^4.24 + 6*t^4.5 + 3*t^4.59 + 6*t^4.94 + 2*t^5.03 + t^5.12 + 7*t^5.47 + 4*t^5.56 + t^5.65 + 4*t^5.91 - 2*t^6. + 8*t^6.09 + 6*t^6.18 + 2*t^6.28 + t^6.37 + 15*t^6.53 + 6*t^6.62 + 3*t^6.71 + 2*t^6.88 + 10*t^6.97 + 9*t^7.06 + 2*t^7.15 + t^7.24 + 6*t^7.41 + 10*t^7.5 + 9*t^7.59 + 4*t^7.68 + t^7.78 + 10*t^7.94 - 4*t^8.03 + 13*t^8.12 + 8*t^8.21 + 6*t^8.31 + 6*t^8.38 + 2*t^8.4 - 9*t^8.47 + t^8.49 + 18*t^8.56 + 15*t^8.65 + 6*t^8.74 + 3*t^8.84 + 2*t^8.91 - t^4.5/y - (2*t^6.53)/y - t^6.62/y - t^6.97/y + (2*t^7.06)/y + (2*t^7.15)/y + (6*t^7.5)/y + (3*t^7.59)/y + (2*t^7.94)/y + (3*t^8.03)/y + t^8.12/y + t^8.38/y + (9*t^8.47)/y + t^8.56/y - t^8.65/y - t^8.74/y + (6*t^8.91)/y - t^4.5*y - 2*t^6.53*y - t^6.62*y - t^6.97*y + 2*t^7.06*y + 2*t^7.15*y + 6*t^7.5*y + 3*t^7.59*y + 2*t^7.94*y + 3*t^8.03*y + t^8.12*y + t^8.38*y + 9*t^8.47*y + t^8.56*y - t^8.65*y - t^8.74*y + 6*t^8.91*y | (2*t^2.03)/g1 + t^2.12/g1^4 + 3*g1*t^2.47 + t^3. + 2*g1^2*t^3.44 + t^3.53/g1 + (6*t^4.06)/g1^2 + (2*t^4.15)/g1^5 + t^4.24/g1^8 + 6*t^4.5 + (3*t^4.59)/g1^3 + 6*g1^2*t^4.94 + (2*t^5.03)/g1 + t^5.12/g1^4 + 7*g1*t^5.47 + (4*t^5.56)/g1^2 + t^5.65/g1^5 + 4*g1^3*t^5.91 - 2*t^6. + (8*t^6.09)/g1^3 + (6*t^6.18)/g1^6 + (2*t^6.28)/g1^9 + t^6.37/g1^12 + (15*t^6.53)/g1 + (6*t^6.62)/g1^4 + (3*t^6.71)/g1^7 + 2*g1^4*t^6.88 + 10*g1*t^6.97 + (9*t^7.06)/g1^2 + (2*t^7.15)/g1^5 + t^7.24/g1^8 + 6*g1^3*t^7.41 + 10*t^7.5 + (9*t^7.59)/g1^3 + (4*t^7.68)/g1^6 + t^7.78/g1^9 + 10*g1^2*t^7.94 - (4*t^8.03)/g1 + (13*t^8.12)/g1^4 + (8*t^8.21)/g1^7 + (6*t^8.31)/g1^10 + 6*g1^4*t^8.38 + (2*t^8.4)/g1^13 - 9*g1*t^8.47 + t^8.49/g1^16 + (18*t^8.56)/g1^2 + (15*t^8.65)/g1^5 + (6*t^8.74)/g1^8 + (3*t^8.84)/g1^11 + 2*g1^3*t^8.91 - t^4.5/y - (2*t^6.53)/(g1*y) - t^6.62/(g1^4*y) - (g1*t^6.97)/y + (2*t^7.06)/(g1^2*y) + (2*t^7.15)/(g1^5*y) + (6*t^7.5)/y + (3*t^7.59)/(g1^3*y) + (2*g1^2*t^7.94)/y + (3*t^8.03)/(g1*y) + t^8.12/(g1^4*y) + (g1^4*t^8.38)/y + (9*g1*t^8.47)/y + t^8.56/(g1^2*y) - t^8.65/(g1^5*y) - t^8.74/(g1^8*y) + (6*g1^3*t^8.91)/y - t^4.5*y - (2*t^6.53*y)/g1 - (t^6.62*y)/g1^4 - g1*t^6.97*y + (2*t^7.06*y)/g1^2 + (2*t^7.15*y)/g1^5 + 6*t^7.5*y + (3*t^7.59*y)/g1^3 + 2*g1^2*t^7.94*y + (3*t^8.03*y)/g1 + (t^8.12*y)/g1^4 + g1^4*t^8.38*y + 9*g1*t^8.47*y + (t^8.56*y)/g1^2 - (t^8.65*y)/g1^5 - (t^8.74*y)/g1^8 + 6*g1^3*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 2863 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_1M_6$ | 0.7058 | 0.934 | 0.7557 | [X:[], M:[1.1603, 0.6794, 0.6699, 0.6699, 0.8301, 0.8397], q:[0.75, 0.4199], qb:[0.4199, 0.4103], phi:[0.5]] | 2*t^2.01 + t^2.04 + 3*t^2.49 + t^2.52 + t^3. + t^3.48 + t^3.51 + 6*t^4.02 + 2*t^4.05 + t^4.08 + 6*t^4.5 + 5*t^4.53 + t^4.56 + 6*t^4.98 + 5*t^5.01 + 2*t^5.04 + 5*t^5.49 + 4*t^5.52 + t^5.55 + t^5.97 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 2861 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_2q_1\tilde{q}_1$ | 0.6872 | 0.8997 | 0.7638 | [X:[], M:[1.1, 0.8, 0.7, 0.7, 0.8], q:[0.75, 0.45], qb:[0.45, 0.35], phi:[0.5]] | 2*t^2.1 + 4*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + 6*t^4.2 + 8*t^4.5 + 10*t^4.8 + 2*t^5.1 + 8*t^5.4 + 8*t^5.7 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 2199/3200, c: 2879/3200, M1: 11/10, M2: 4/5, M3: 7/10, M4: 7/10, M5: 4/5, q1: 3/4, q2: 9/20, qb1: 9/20, qb2: 7/20, phi1: 1/2} |
| 2858 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6q_1\tilde{q}_1$ | 0.7076 | 0.9351 | 0.7567 | [X:[], M:[1.1397, 0.7206, 0.6801, 0.6801, 0.8199, 0.8199], q:[0.75, 0.4301], qb:[0.4301, 0.3897], phi:[0.5]] | 2*t^2.04 + t^2.16 + 4*t^2.46 + t^3. + 2*t^3.42 + 6*t^4.08 + 2*t^4.2 + t^4.32 + 8*t^4.5 + 4*t^4.62 + 10*t^4.92 + 2*t^5.04 + t^5.16 + 8*t^5.46 + 2*t^5.58 + 6*t^5.88 - 5*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 406 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6776 | 0.8842 | 0.7663 | [X:[], M:[1.153, 0.694, 0.6735, 0.6735], q:[0.75, 0.4235], qb:[0.4235, 0.403], phi:[0.5]] | 2*t^2.02 + t^2.08 + 2*t^2.48 + t^3. + 2*t^3.46 + 2*t^3.52 + 6*t^4.04 + 2*t^4.1 + t^4.16 + 4*t^4.5 + 2*t^4.56 + 3*t^4.96 + 2*t^5.02 + t^5.08 + 6*t^5.48 + 6*t^5.54 + 2*t^5.6 + 2*t^5.94 - t^6. - t^4.5/y - t^4.5*y | detail |