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 |
|---|---|---|---|---|---|---|---|---|---|
| 10 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1\tilde{q}_1$ | 0.4927 | 0.5714 | 0.8624 | [X:[1.5228], M:[0.6962, 0.7159], q:[0.5326], qb:[0.5129], phi:[0.2386]] | [X:[[0, 2]], M:[[2, -7], [0, -3]], q:[[-1, 4]], qb:[[1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ X_1$, $ M_1q_1\tilde{q}_1$, $ M_2q_1\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$ | . | -2 | t^2.09 + t^2.15 + t^3.14 + t^3.79 + t^4.18 + t^4.24 + t^4.3 + t^4.57 + t^5.23 + t^5.28 + t^5.88 - 2*t^6. - t^6.06 + 2*t^6.27 + t^6.32 + t^6.38 + t^6.44 - t^6.77 + t^6.93 + t^7.31 + t^7.37 + t^7.43 + t^7.59 + t^7.97 - 2*t^8.09 - 2*t^8.15 - t^8.21 + t^8.35 + t^8.36 + t^8.41 + t^8.47 - t^8.48 + t^8.53 + t^8.59 - 2*t^8.8 - 2*t^8.86 - t^8.8/y^2 - t^8.86/y^2 - t^3.72/y - t^5.8/y - t^5.86/y + t^7.24/y + t^7.57/y + t^7.63/y - t^7.89/y - t^7.95/y - t^8.01/y + t^8.23/y + t^8.28/y + t^8.88/y + t^8.94/y - t^3.72*y - t^5.8*y - t^5.86*y + t^7.24*y + t^7.57*y + t^7.63*y - t^7.89*y - t^7.95*y - t^8.01*y + t^8.23*y + t^8.28*y + t^8.88*y + t^8.94*y - t^8.8*y^2 - t^8.86*y^2 | (g1^2*t^2.09)/g2^7 + t^2.15/g2^3 + g2^4*t^3.14 + (g1^2*t^3.79)/g2 + (g1^4*t^4.18)/g2^14 + (g1^2*t^4.24)/g2^10 + t^4.3/g2^6 + g2^2*t^4.57 + (g1^2*t^5.23)/g2^3 + g2*t^5.28 + (g1^4*t^5.88)/g2^8 - 2*t^6. - (g2^4*t^6.06)/g1^2 + (g1^6*t^6.27)/g2^21 + g2^8*t^6.27 + (g1^4*t^6.32)/g2^17 + (g1^2*t^6.38)/g2^13 + t^6.44/g2^9 - (g2^3*t^6.77)/g1^2 + g1^2*g2^3*t^6.93 + (g1^4*t^7.31)/g2^10 + (g1^2*t^7.37)/g2^6 + t^7.43/g2^2 + (g1^4*t^7.59)/g2^2 + (g1^6*t^7.97)/g2^15 - (2*g1^2*t^8.09)/g2^7 - (2*t^8.15)/g2^3 - (g2*t^8.21)/g1^2 + (g1^8*t^8.35)/g2^28 + g1^2*g2*t^8.36 + (g1^6*t^8.41)/g2^24 + (g1^4*t^8.47)/g2^20 - (g2^9*t^8.48)/g1^2 + (g1^2*t^8.53)/g2^16 + t^8.59/g2^12 - (2*g1^2*t^8.8)/g2^8 - (2*t^8.86)/g2^4 - (g1^2*t^8.8)/(g2^8*y^2) - t^8.86/(g2^4*y^2) - t^3.72/(g2*y) - (g1^2*t^5.8)/(g2^8*y) - t^5.86/(g2^4*y) + (g1^2*t^7.24)/(g2^10*y) + (g2^2*t^7.57)/y + (g2^6*t^7.63)/(g1^2*y) - (g1^4*t^7.89)/(g2^15*y) - (g1^2*t^7.95)/(g2^11*y) - t^8.01/(g2^7*y) + (g1^2*t^8.23)/(g2^3*y) + (g2*t^8.28)/y + (g1^4*t^8.88)/(g2^8*y) + (g1^2*t^8.94)/(g2^4*y) - (t^3.72*y)/g2 - (g1^2*t^5.8*y)/g2^8 - (t^5.86*y)/g2^4 + (g1^2*t^7.24*y)/g2^10 + g2^2*t^7.57*y + (g2^6*t^7.63*y)/g1^2 - (g1^4*t^7.89*y)/g2^15 - (g1^2*t^7.95*y)/g2^11 - (t^8.01*y)/g2^7 + (g1^2*t^8.23*y)/g2^3 + g2*t^8.28*y + (g1^4*t^8.88*y)/g2^8 + (g1^2*t^8.94*y)/g2^4 - (g1^2*t^8.8*y^2)/g2^8 - (t^8.86*y^2)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 19 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1\tilde{q}_1$ + $ M_1M_2$ | 0.4135 | 0.4854 | 0.8518 | [X:[1.3853], M:[1.078, 0.922], q:[0.3073], qb:[0.4634], phi:[0.3073]] | t^2.31 + t^2.77 + t^3.23 + t^3.7 + t^4.16 + t^4.62 + t^5.08 + t^5.55 - t^6. - t^3.92/y - t^3.92*y | detail | |
| 18 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1\tilde{q}_1$ + $ M_1^2$ | 0.4487 | 0.5156 | 0.8702 | [X:[1.4646], M:[1.0, 0.8031], q:[0.3662], qb:[0.5631], phi:[0.2677]] | t^2.41 + t^2.79 + t^3. + t^4.18 + t^4.39 + t^4.82 + t^5.2 + t^5.58 + t^5.79 - t^6. - t^3.8/y - t^3.8*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 |
|---|---|---|---|---|---|---|---|---|---|
| 110 | SU2adj1nf2 | $\phi_1q_1^2$ + $ q_1q_2$ + $ \phi_1^2X_1$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ | 0.4927 | 0.5714 | 0.8624 | [X:[1.5228], M:[0.7159, 0.6962], q:[0.8807, 1.1193], qb:[0.5326, 0.5129], phi:[0.2386]] | t^2.09 + t^2.15 + t^3.14 + t^3.79 + t^4.18 + t^4.24 + t^4.3 + t^4.57 + t^5.23 + t^5.28 + t^5.88 - 2*t^6. - t^3.72/y - t^5.8/y - t^5.86/y - t^3.72*y - t^5.8*y - t^5.86*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ | 0.4727 | 0.5351 | 0.8834 | [X:[1.5133], M:[0.7051], q:[0.5258], qb:[0.5009], phi:[0.2433]] | t^2.12 + t^3.08 + t^3.74 + t^3.81 + t^4.23 + t^4.54 + t^5.2 + t^5.85 - 2*t^6. - t^3.73/y - t^5.85/y - t^3.73*y - t^5.85*y | detail |