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 |
|---|---|---|---|---|---|---|---|---|---|
| 55546 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4q_1\tilde{q}_1$ + $ M_1X_1$ + $ M_6q_1\tilde{q}_1$ | 0.6987 | 0.8726 | 0.8007 | [X:[1.3265], M:[0.6735, 1.1088, 0.9671, 0.7392, 0.8912, 0.7392], q:[0.7772, 0.5493], qb:[0.4836, 0.4076], phi:[0.4456]] | [X:[[36]], M:[[-36], [12], [-22], [8], [-12], [8]], q:[[3], [33]], qb:[[-11], [-1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ M_3$, $ q_1\tilde{q}_2$, $ X_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_4M_5$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_5q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_5$, $ M_3\phi_1^2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$ | . | -3 | 2*t^2.22 + 2*t^2.67 + t^2.87 + t^2.9 + t^3.55 + t^3.98 + t^4.01 + t^4.21 + t^4.24 + 4*t^4.44 + t^4.63 + 4*t^4.89 + 2*t^5.09 + 2*t^5.12 + 3*t^5.35 + 2*t^5.54 + t^5.57 + t^5.74 + 2*t^5.77 - 3*t^6. + t^6.2 + 2*t^6.23 + 2*t^6.43 + 2*t^6.46 + 6*t^6.65 + t^6.68 + 3*t^6.85 + 2*t^6.88 + 2*t^6.91 + t^7.08 + 7*t^7.11 + 5*t^7.31 + t^7.34 + t^7.5 + 4*t^7.56 + 2*t^7.76 + 2*t^7.79 + 2*t^7.96 + 3*t^7.99 + 4*t^8.02 + t^8.19 - 4*t^8.22 + 2*t^8.25 + 3*t^8.41 + 2*t^8.45 + 2*t^8.61 + 3*t^8.64 - 3*t^8.67 + t^8.7 + t^8.84 + 4*t^8.87 - t^8.9 - t^4.34/y - (2*t^6.55)/y - t^7.01/y - t^7.24/y + (2*t^7.44)/y + t^7.66/y + (4*t^7.89)/y + (2*t^8.09)/y + (4*t^8.12)/y + t^8.35/y + (2*t^8.54)/y + (2*t^8.57)/y - t^4.34*y - 2*t^6.55*y - t^7.01*y - t^7.24*y + 2*t^7.44*y + t^7.66*y + 4*t^7.89*y + 2*t^8.09*y + 4*t^8.12*y + t^8.35*y + 2*t^8.54*y + 2*t^8.57*y | 2*g1^8*t^2.22 + (2*t^2.67)/g1^12 + g1^32*t^2.87 + t^2.9/g1^22 + g1^2*t^3.55 + g1^36*t^3.98 + t^4.01/g1^18 + g1^26*t^4.21 + t^4.24/g1^28 + 4*g1^16*t^4.44 + g1^60*t^4.63 + (4*t^4.89)/g1^4 + 2*g1^40*t^5.09 + (2*t^5.12)/g1^14 + (3*t^5.35)/g1^24 + 2*g1^20*t^5.54 + t^5.57/g1^34 + g1^64*t^5.74 + 2*g1^10*t^5.77 - 3*t^6. + g1^44*t^6.2 + (2*t^6.23)/g1^10 + 2*g1^34*t^6.43 + (2*t^6.46)/g1^20 + 6*g1^24*t^6.65 + t^6.68/g1^30 + 3*g1^68*t^6.85 + 2*g1^14*t^6.88 + (2*t^6.91)/g1^40 + g1^58*t^7.08 + 7*g1^4*t^7.11 + 5*g1^48*t^7.31 + t^7.34/g1^6 + g1^92*t^7.5 + (4*t^7.56)/g1^16 + 2*g1^28*t^7.76 + (2*t^7.79)/g1^26 + 2*g1^72*t^7.96 + 3*g1^18*t^7.99 + (4*t^8.02)/g1^36 + g1^62*t^8.19 - 4*g1^8*t^8.22 + (2*t^8.25)/g1^46 + 3*g1^52*t^8.41 + (2*t^8.45)/g1^2 + 2*g1^96*t^8.61 + 3*g1^42*t^8.64 - (3*t^8.67)/g1^12 + t^8.7/g1^66 + g1^86*t^8.84 + 4*g1^32*t^8.87 - t^8.9/g1^22 - t^4.34/(g1^6*y) - (2*g1^2*t^6.55)/y - t^7.01/(g1^18*y) - t^7.24/(g1^28*y) + (2*g1^16*t^7.44)/y + (g1^6*t^7.66)/y + (4*t^7.89)/(g1^4*y) + (2*g1^40*t^8.09)/y + (4*t^8.12)/(g1^14*y) + t^8.35/(g1^24*y) + (2*g1^20*t^8.54)/y + (2*t^8.57)/(g1^34*y) - (t^4.34*y)/g1^6 - 2*g1^2*t^6.55*y - (t^7.01*y)/g1^18 - (t^7.24*y)/g1^28 + 2*g1^16*t^7.44*y + g1^6*t^7.66*y + (4*t^7.89*y)/g1^4 + 2*g1^40*t^8.09*y + (4*t^8.12*y)/g1^14 + (t^8.35*y)/g1^24 + 2*g1^20*t^8.54*y + (2*t^8.57*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57110 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4q_1\tilde{q}_1$ + $ M_1X_1$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.7142 | 0.8996 | 0.794 | [X:[1.3288], M:[0.6712, 1.1096, 0.9657, 0.7397, 0.8904, 0.7397, 0.8151], q:[0.7774, 0.5514], qb:[0.4829, 0.4075], phi:[0.4452]] | 2*t^2.22 + t^2.45 + 2*t^2.67 + t^2.88 + t^2.9 + t^3.99 + t^4.01 + t^4.21 + t^4.23 + 4*t^4.44 + t^4.64 + 2*t^4.66 + 5*t^4.89 + 2*t^5.1 + 4*t^5.12 + t^5.32 + 4*t^5.34 + 2*t^5.55 + t^5.57 + t^5.75 - 3*t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47089 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4q_1\tilde{q}_1$ + $ M_1X_1$ | 0.6792 | 0.8367 | 0.8118 | [X:[1.3317], M:[0.6683, 1.1106, 0.964, 0.7404, 0.8894], q:[0.7776, 0.554], qb:[0.482, 0.4075], phi:[0.4447]] | t^2.22 + 2*t^2.67 + t^2.88 + t^2.89 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.23 + 2*t^4.44 + t^4.66 + 2*t^4.89 + 2*t^5.11 + 3*t^5.34 + 2*t^5.55 + t^5.56 + t^5.77 + t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y | detail |