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 |
|---|---|---|---|---|---|---|---|---|---|
| 192 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1^2$ | 0.6107 | 0.7595 | 0.8041 | [X:[], M:[1.0, 0.6889, 0.8353], q:[0.6082, 1.0108], qb:[0.3918, 0.465], phi:[0.381]] | [X:[], M:[[0, 0], [1, -5], [-5, 1]], q:[[-3, 0], [4, 1]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ q_2\tilde{q}_2$, $ M_2M_3$, $ \phi_1^4$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_1M_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_2q_1\tilde{q}_2$, $ M_1M_3$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.07 + t^2.29 + t^2.51 + t^2.57 + t^3. + t^3.22 + t^3.71 + t^4.13 + t^4.21 + t^4.35 + t^4.43 + 2*t^4.57 + t^4.64 + t^4.79 + 2*t^4.86 + t^5.01 + t^5.07 + t^5.08 + t^5.14 + t^5.29 + t^5.51 + t^5.57 + t^5.73 + t^5.79 - t^6. + t^6.2 + t^6.22 + t^6.27 + t^6.28 + t^6.42 - t^6.43 + t^6.44 + t^6.49 + 2*t^6.64 - t^6.65 + t^6.7 + t^6.71 + t^6.78 + 2*t^6.86 + t^6.92 + t^6.93 + t^7. + 2*t^7.08 + t^7.13 + t^7.14 + t^7.21 + t^7.3 + t^7.35 + t^7.36 + 2*t^7.43 + t^7.52 + t^7.57 + t^7.58 + t^7.65 + t^7.71 + t^7.79 + t^8.01 - 2*t^8.07 + t^8.08 + t^8.14 + t^8.23 + t^8.27 - t^8.29 + t^8.3 + t^8.34 - t^8.35 + t^8.36 + t^8.42 + t^8.49 - t^8.5 - 2*t^8.51 + t^8.56 - 2*t^8.57 + t^8.64 + 2*t^8.71 - t^8.72 + t^8.73 + t^8.77 + t^8.84 + 2*t^8.85 + 2*t^8.93 - t^8.94 + t^8.95 + t^8.99 - t^4.14/y - t^6.21/y - t^6.43/y - t^6.65/y + t^7.35/y + t^7.57/y + (2*t^7.64)/y + t^7.79/y + (2*t^7.86)/y + t^8.07/y + (2*t^8.08)/y - t^8.28/y + (2*t^8.29)/y - t^8.5/y + (2*t^8.51)/y + t^8.57/y - (2*t^8.72)/y + t^8.73/y + t^8.78/y + t^8.79/y - t^8.94/y - t^4.14*y - t^6.21*y - t^6.43*y - t^6.65*y + t^7.35*y + t^7.57*y + 2*t^7.64*y + t^7.79*y + 2*t^7.86*y + t^8.07*y + 2*t^8.08*y - t^8.28*y + 2*t^8.29*y - t^8.5*y + 2*t^8.51*y + t^8.57*y - 2*t^8.72*y + t^8.73*y + t^8.78*y + t^8.79*y - t^8.94*y | (g1*t^2.07)/g2^5 + t^2.29/(g1^2*g2^2) + (g2*t^2.51)/g1^5 + g1^3*g2^3*t^2.57 + t^3. + (g2^3*t^3.22)/g1^3 + g1^2*g2^2*t^3.71 + (g1^2*t^4.13)/g2^10 + g1^7*g2*t^4.21 + t^4.35/(g1*g2^7) + g1^4*g2^4*t^4.43 + (2*t^4.57)/(g1^4*g2^4) + (g1^4*t^4.64)/g2^2 + t^4.79/(g1^7*g2) + 2*g1*g2*t^4.86 + (g2^2*t^5.01)/g1^10 + (g1*t^5.07)/g2^5 + (g2^4*t^5.08)/g1^2 + g1^6*g2^6*t^5.14 + t^5.29/(g1^2*g2^2) + (g2*t^5.51)/g1^5 + g1^3*g2^3*t^5.57 + (g2^4*t^5.73)/g1^8 + g2^6*t^5.79 - t^6. + (g1^3*t^6.2)/g2^15 + (g2^3*t^6.22)/g1^3 + (g1^8*t^6.27)/g2^4 + g1^5*g2^5*t^6.28 + t^6.42/g2^12 - t^6.43/(g1^3*g2^3) + (g2^6*t^6.44)/g1^6 + (g1^5*t^6.49)/g2 + (2*t^6.64)/(g1^3*g2^9) - t^6.65/g1^6 + (g1^5*t^6.7)/g2^7 + g1^2*g2^2*t^6.71 + g1^10*g2^4*t^6.78 + (2*t^6.86)/(g1^6*g2^6) + (g1^2*t^6.92)/g2^4 + (g2^5*t^6.93)/g1 + g1^7*g2^7*t^7. + (2*t^7.08)/(g1^9*g2^3) + (g1^2*t^7.13)/g2^10 + t^7.14/(g1*g2) + g1^7*g2*t^7.21 + t^7.3/g1^12 + t^7.35/(g1*g2^7) + (g2^2*t^7.36)/g1^4 + 2*g1^4*g2^4*t^7.43 + (g2^3*t^7.52)/g1^15 + t^7.57/(g1^4*g2^4) + (g2^5*t^7.58)/g1^7 + g1*g2^7*t^7.65 + g1^9*g2^9*t^7.71 + t^7.79/(g1^7*g2) + (g2^2*t^8.01)/g1^10 - (2*g1*t^8.07)/g2^5 + (g2^4*t^8.08)/g1^2 + g1^6*g2^6*t^8.14 + (g2^5*t^8.23)/g1^13 + (g1^4*t^8.27)/g2^20 - t^8.29/(g1^2*g2^2) + (g2^7*t^8.3)/g1^5 + (g1^9*t^8.34)/g2^9 - g1^6*t^8.35 + g1^3*g2^9*t^8.36 + g1^14*g2^2*t^8.42 + (g1*t^8.49)/g2^17 - t^8.5/(g1^2*g2^8) - (2*g2*t^8.51)/g1^5 + (g1^6*t^8.56)/g2^6 - 2*g1^3*g2^3*t^8.57 + g1^11*g2^5*t^8.64 + (2*t^8.71)/(g1^2*g2^14) - t^8.72/(g1^5*g2^5) + (g2^4*t^8.73)/g1^8 + (g1^6*t^8.77)/g2^12 + (g1^11*t^8.84)/g2 + 2*g1^8*g2^8*t^8.85 + (2*t^8.93)/(g1^5*g2^11) - t^8.94/(g1^8*g2^2) + (g2^7*t^8.95)/g1^11 + (g1^3*t^8.99)/g2^9 - t^4.14/(g1*g2*y) - t^6.21/(g2^6*y) - t^6.43/(g1^3*g2^3*y) - t^6.65/(g1^6*y) + t^7.35/(g1*g2^7*y) + t^7.57/(g1^4*g2^4*y) + (2*g1^4*t^7.64)/(g2^2*y) + t^7.79/(g1^7*g2*y) + (2*g1*g2*t^7.86)/y + (g1*t^8.07)/(g2^5*y) + (2*g2^4*t^8.08)/(g1^2*y) - (g1*t^8.28)/(g2^11*y) + (2*t^8.29)/(g1^2*g2^2*y) - t^8.5/(g1^2*g2^8*y) + (2*g2*t^8.51)/(g1^5*y) + (g1^3*g2^3*t^8.57)/y - (2*t^8.72)/(g1^5*g2^5*y) + (g2^4*t^8.73)/(g1^8*y) + (g1^3*t^8.78)/(g2^3*y) + (g2^6*t^8.79)/y - t^8.94/(g1^8*g2^2*y) - (t^4.14*y)/(g1*g2) - (t^6.21*y)/g2^6 - (t^6.43*y)/(g1^3*g2^3) - (t^6.65*y)/g1^6 + (t^7.35*y)/(g1*g2^7) + (t^7.57*y)/(g1^4*g2^4) + (2*g1^4*t^7.64*y)/g2^2 + (t^7.79*y)/(g1^7*g2) + 2*g1*g2*t^7.86*y + (g1*t^8.07*y)/g2^5 + (2*g2^4*t^8.08*y)/g1^2 - (g1*t^8.28*y)/g2^11 + (2*t^8.29*y)/(g1^2*g2^2) - (t^8.5*y)/(g1^2*g2^8) + (2*g2*t^8.51*y)/g1^5 + g1^3*g2^3*t^8.57*y - (2*t^8.72*y)/(g1^5*g2^5) + (g2^4*t^8.73*y)/g1^8 + (g1^3*t^8.78*y)/g2^3 + g2^6*t^8.79*y - (t^8.94*y)/(g1^8*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 303 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_2X_1$ | 0.588 | 0.713 | 0.8247 | [X:[1.3696], M:[1.0, 0.6304, 0.8478], q:[0.6087, 1.0217], qb:[0.3913, 0.5], phi:[0.3696]] | t^2.22 + t^2.54 + t^2.67 + t^3. + t^3.33 + t^3.78 + t^4.11 + t^4.24 + t^4.43 + t^4.57 + t^4.76 + 2*t^4.89 + t^5.09 + t^5.22 + t^5.35 + t^5.54 + t^5.87 - t^4.11/y - t^4.11*y | detail | {a: 1731/2944, c: 2099/2944, X1: 63/46, M1: 1, M2: 29/46, M3: 39/46, q1: 14/23, q2: 47/46, qb1: 9/23, qb2: 1/2, phi1: 17/46} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 120 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.669 | 0.8353 | 0.8009 | [X:[], M:[0.6881, 0.7026, 0.6965], q:[0.835, 0.8152], qb:[0.4769, 0.4738], phi:[0.3498]] | t^2.06 + t^2.09 + t^2.1 + t^2.11 + t^2.85 + t^3.87 + t^3.88 + t^3.9 + t^3.93 + t^4.13 + t^4.15 + t^4.16 + t^4.17 + t^4.18 + t^4.19 + 2*t^4.2 + t^4.21 + t^4.22 + t^4.92 + t^4.94 + 2*t^4.95 + t^4.96 + t^5.7 + t^5.93 + t^5.94 + t^5.96 + 3*t^5.97 + t^5.98 + t^5.99 - 2*t^6. - t^4.05/y - t^4.05*y | detail |