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 |
|---|---|---|---|---|---|---|---|---|---|
| 2772 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_2^2$ + $ M_3X_1$ + $ M_2M_5$ | 0.6453 | 0.804 | 0.8026 | [X:[1.4612], M:[0.8793, 1.2198, 0.5388, 0.7802, 0.7802], q:[0.3405, 0.7802], qb:[0.4397, 0.681], phi:[0.4397]] | [X:[[7]], M:[[-4], [-1], [-7], [1], [1]], q:[[3], [1]], qb:[[-2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_5$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4\phi_1q_1^2$, $ M_5\phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | $\phi_1^3q_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_1\tilde{q}_1\tilde{q}_2$ | 2 | 2*t^2.34 + 2*t^2.64 + t^3.06 + 2*t^3.36 + t^3.66 + t^3.96 + 2*t^4.38 + 4*t^4.68 + 3*t^4.98 + 2*t^5.28 + 3*t^5.4 + 5*t^5.7 + 2*t^6. + t^6.13 + 2*t^6.43 + t^6.6 + 4*t^6.72 + 6*t^7.02 + 3*t^7.32 + 2*t^7.45 + 2*t^7.62 + 7*t^7.75 + 4*t^7.91 + 7*t^8.04 + 3*t^8.47 - 2*t^8.64 + 7*t^8.77 - 2*t^8.94 - t^4.32/y - t^6.66/y - (2*t^6.96)/y + (3*t^7.68)/y + (5*t^7.98)/y + t^8.28/y + (2*t^8.4)/y + (6*t^8.7)/y - t^4.32*y - t^6.66*y - 2*t^6.96*y + 3*t^7.68*y + 5*t^7.98*y + t^8.28*y + 2*t^8.4*y + 6*t^8.7*y | 2*g1*t^2.34 + (2*t^2.64)/g1^4 + g1^9*t^3.06 + 2*g1^4*t^3.36 + t^3.66/g1 + t^3.96/g1^6 + 2*g1^7*t^4.38 + 4*g1^2*t^4.68 + (3*t^4.98)/g1^3 + (2*t^5.28)/g1^8 + 3*g1^10*t^5.4 + 5*g1^5*t^5.7 + 2*t^6. + g1^18*t^6.13 + 2*g1^13*t^6.43 + t^6.6/g1^10 + 4*g1^8*t^6.72 + 6*g1^3*t^7.02 + (3*t^7.32)/g1^2 + 2*g1^16*t^7.45 + (2*t^7.62)/g1^7 + 7*g1^11*t^7.75 + (4*t^7.91)/g1^12 + 7*g1^6*t^8.04 + 3*g1^19*t^8.47 - (2*t^8.64)/g1^4 + 7*g1^14*t^8.77 - (2*t^8.94)/g1^9 - t^4.32/(g1^2*y) - t^6.66/(g1*y) - (2*t^6.96)/(g1^6*y) + (3*g1^2*t^7.68)/y + (5*t^7.98)/(g1^3*y) + t^8.28/(g1^8*y) + (2*g1^10*t^8.4)/y + (6*g1^5*t^8.7)/y - (t^4.32*y)/g1^2 - (t^6.66*y)/g1 - (2*t^6.96*y)/g1^6 + 3*g1^2*t^7.68*y + (5*t^7.98*y)/g1^3 + (t^8.28*y)/g1^8 + 2*g1^10*t^8.4*y + 6*g1^5*t^8.7*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 |
|---|---|---|---|---|---|---|---|---|
| 3285 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_2^2$ + $ M_3X_1$ + $ M_2M_5$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6629 | 0.8357 | 0.7933 | [X:[1.4567], M:[0.8819, 1.2205, 0.5433, 0.7795, 0.7795, 0.7795], q:[0.3386, 0.7795], qb:[0.4409, 0.6772], phi:[0.4409]] | 3*t^2.34 + 2*t^2.65 + t^3.05 + 2*t^3.35 + t^3.97 + 2*t^4.37 + 7*t^4.68 + 5*t^4.98 + 2*t^5.29 + 4*t^5.39 + 7*t^5.69 - t^4.32/y - t^4.32*y | detail | |
| 3286 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_2^2$ + $ M_3X_1$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6661 | 0.8451 | 0.7882 | [X:[1.4579], M:[0.8812, 1.2203, 0.5421, 0.7797, 0.7797, 0.6782], q:[0.3391, 0.7797], qb:[0.4406, 0.6782], phi:[0.4406]] | t^2.03 + 2*t^2.34 + 2*t^2.64 + t^3.05 + 2*t^3.36 + t^3.66 + t^4.07 + 4*t^4.37 + 6*t^4.68 + 3*t^4.98 + t^5.09 + 2*t^5.29 + 5*t^5.39 + 6*t^5.7 + 2*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1772 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1q_2^2$ + $ M_3X_1$ | 0.6277 | 0.7724 | 0.8127 | [X:[1.4657], M:[0.8767, 1.2192, 0.5343, 0.7808], q:[0.3425, 0.7808], qb:[0.4384, 0.6849], phi:[0.4384]] | t^2.34 + 2*t^2.63 + t^3.08 + 2*t^3.37 + 2*t^3.66 + t^3.95 + 2*t^4.4 + 2*t^4.68 + t^4.97 + 2*t^5.26 + 2*t^5.42 + 3*t^5.71 + 2*t^6. - t^4.32/y - t^4.32*y | detail |