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 |
|---|---|---|---|---|---|---|---|---|---|
| 3624 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ + $ M_4M_6$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6067 | 0.7607 | 0.7976 | [X:[1.5894, 1.3576], M:[1.0, 0.6424, 0.4106, 1.2318, 0.7682, 0.7682, 0.8212], q:[0.6788, 0.3212], qb:[0.9106, 0.447], phi:[0.4106]] | [X:[[1], [4]], M:[[0], [-4], [-1], [-3], [3], [3], [-2]], q:[[2], [-2]], qb:[[-1], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_7$, $ \phi_1^2$, $ M_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ X_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_7$, $ M_6M_7$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ X_1$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ M_1M_6$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_7$, $ M_1\phi_1^2$, $ M_5\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$ | . | -2 | 2*t^2.3 + 2*t^2.46 + t^3. + t^3.16 + t^3.38 + t^3.91 + t^4.07 + 3*t^4.61 + 5*t^4.77 + 3*t^4.93 + 2*t^5.3 + 3*t^5.46 + t^5.62 + 2*t^5.68 + t^5.84 - 2*t^6. + 2*t^6.22 + t^6.32 + 4*t^6.38 + t^6.54 - 2*t^6.7 + t^6.75 - t^6.85 + 4*t^6.91 + 6*t^7.07 + 6*t^7.23 + t^7.29 + 3*t^7.39 + t^7.61 + 4*t^7.77 + t^7.83 + 3*t^7.93 + 4*t^7.99 + t^8.09 + 3*t^8.15 - 5*t^8.3 - 5*t^8.46 + 3*t^8.52 + 7*t^8.68 + t^8.78 + 3*t^8.84 - t^4.23/y - t^6.54/y - (2*t^6.7)/y + t^7.61/y + (6*t^7.77)/y + (2*t^7.93)/y + (2*t^8.3)/y + (4*t^8.46)/y + (2*t^8.62)/y + (2*t^8.68)/y + t^8.84/y - t^4.23*y - t^6.54*y - 2*t^6.7*y + t^7.61*y + 6*t^7.77*y + 2*t^7.93*y + 2*t^8.3*y + 4*t^8.46*y + 2*t^8.62*y + 2*t^8.68*y + t^8.84*y | 2*g1^3*t^2.3 + (2*t^2.46)/g1^2 + t^3. + t^3.16/g1^5 + g1^7*t^3.38 + g1^9*t^3.91 + g1^4*t^4.07 + 3*g1^6*t^4.61 + 5*g1*t^4.77 + (3*t^4.93)/g1^4 + 2*g1^3*t^5.3 + (3*t^5.46)/g1^2 + t^5.62/g1^7 + 2*g1^10*t^5.68 + g1^5*t^5.84 - 2*t^6. + 2*g1^12*t^6.22 + t^6.32/g1^10 + 4*g1^7*t^6.38 + g1^2*t^6.54 - (2*t^6.7)/g1^3 + g1^14*t^6.75 - t^6.85/g1^8 + 4*g1^9*t^6.91 + 6*g1^4*t^7.07 + (6*t^7.23)/g1 + g1^16*t^7.29 + (3*t^7.39)/g1^6 + g1^6*t^7.61 + 4*g1*t^7.77 + g1^18*t^7.83 + (3*t^7.93)/g1^4 + 4*g1^13*t^7.99 + t^8.09/g1^9 + 3*g1^8*t^8.15 - 5*g1^3*t^8.3 - (5*t^8.46)/g1^2 + 3*g1^15*t^8.52 + 7*g1^10*t^8.68 + t^8.78/g1^12 + 3*g1^5*t^8.84 - t^4.23/(g1*y) - (g1^2*t^6.54)/y - (2*t^6.7)/(g1^3*y) + (g1^6*t^7.61)/y + (6*g1*t^7.77)/y + (2*t^7.93)/(g1^4*y) + (2*g1^3*t^8.3)/y + (4*t^8.46)/(g1^2*y) + (2*t^8.62)/(g1^7*y) + (2*g1^10*t^8.68)/y + (g1^5*t^8.84)/y - (t^4.23*y)/g1 - g1^2*t^6.54*y - (2*t^6.7*y)/g1^3 + g1^6*t^7.61*y + 6*g1*t^7.77*y + (2*t^7.93*y)/g1^4 + 2*g1^3*t^8.3*y + (4*t^8.46*y)/g1^2 + (2*t^8.62*y)/g1^7 + 2*g1^10*t^8.68*y + g1^5*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 5331 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ + $ M_4M_6$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.6274 | 0.8007 | 0.7836 | [X:[1.5907, 1.3627], M:[1.0, 0.6373, 0.4093, 1.228, 0.772, 0.772, 0.8187, 0.684], q:[0.6813, 0.3187], qb:[0.9093, 0.4533], phi:[0.4093]] | t^2.05 + 2*t^2.32 + 2*t^2.46 + t^3. + t^3.14 + t^3.4 + t^4.09 + t^4.1 + 2*t^4.37 + 2*t^4.51 + 3*t^4.63 + 5*t^4.77 + 3*t^4.91 + t^5.05 + t^5.19 + 2*t^5.32 + 4*t^5.46 + t^5.6 + 2*t^5.72 + t^5.86 - 2*t^6. - t^4.23/y - t^4.23*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2998 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ + $ M_4M_6$ | 0.5917 | 0.7355 | 0.8045 | [X:[1.5874, 1.3497], M:[1.0, 0.6503, 0.4126, 1.2377, 0.7623, 0.7623], q:[0.6748, 0.3252], qb:[0.9126, 0.4371], phi:[0.4126]] | 2*t^2.29 + t^2.48 + t^3. + t^3.19 + t^3.34 + t^3.52 + t^3.86 + t^4.05 + 3*t^4.57 + 3*t^4.76 + t^4.95 + 2*t^5.29 + 2*t^5.48 + 2*t^5.62 + 2*t^5.81 - t^6. - t^4.24/y - t^4.24*y | detail |