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 |
|---|---|---|---|---|---|---|---|---|---|
| 46469 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6717 | 0.8683 | 0.7736 | [X:[], M:[0.8229, 0.7086, 1.1457, 0.6771], q:[0.75, 0.4271], qb:[0.3957, 0.4271], phi:[0.5]] | [X:[], M:[[-1], [4], [-2], [1]], q:[[0], [1]], qb:[[-2], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_1$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_3$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_2^2$, $ M_1M_4$, $ M_4q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2q_2\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_1\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_3M_4$, $ M_1\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_1M_3$, $ M_3q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$ | $M_4\phi_1\tilde{q}_1\tilde{q}_2$ | -1 | t^2.03 + t^2.13 + 3*t^2.47 + t^3. + 2*t^3.44 + t^3.53 + t^3.97 + 4*t^4.06 + t^4.16 + t^4.25 + 3*t^4.5 + 3*t^4.59 + 6*t^4.94 + t^5.03 + t^5.13 + 5*t^5.47 + 3*t^5.56 + t^5.66 + 4*t^5.91 - t^6. + 3*t^6.09 + 4*t^6.19 + t^6.28 + t^6.38 + 3*t^6.44 + 9*t^6.53 + 3*t^6.63 + 3*t^6.72 + 2*t^6.87 + 5*t^6.97 + 7*t^7.06 + t^7.16 + t^7.25 + 8*t^7.41 + 4*t^7.5 + 5*t^7.59 + 3*t^7.69 + t^7.78 + 7*t^7.94 + 2*t^8.03 + 6*t^8.13 + 3*t^8.22 + 4*t^8.31 + 6*t^8.37 + t^8.41 - 6*t^8.47 + t^8.5 + 6*t^8.56 + 9*t^8.66 + 3*t^8.75 + 3*t^8.85 + 6*t^8.91 - t^4.5/y - t^6.53/y - t^6.63/y - t^6.97/y + t^7.06/y + t^7.16/y + (3*t^7.5)/y + (3*t^7.59)/y + (2*t^7.94)/y + (2*t^8.03)/y + t^8.13/y + t^8.37/y + (6*t^8.47)/y + (2*t^8.56)/y - t^8.75/y + (6*t^8.91)/y - t^4.5*y - t^6.53*y - t^6.63*y - t^6.97*y + t^7.06*y + t^7.16*y + 3*t^7.5*y + 3*t^7.59*y + 2*t^7.94*y + 2*t^8.03*y + t^8.13*y + t^8.37*y + 6*t^8.47*y + 2*t^8.56*y - t^8.75*y + 6*t^8.91*y | g1*t^2.03 + g1^4*t^2.13 + (3*t^2.47)/g1 + t^3. + (2*t^3.44)/g1^2 + g1*t^3.53 + t^3.97/g1 + 4*g1^2*t^4.06 + g1^5*t^4.16 + g1^8*t^4.25 + 3*t^4.5 + 3*g1^3*t^4.59 + (6*t^4.94)/g1^2 + g1*t^5.03 + g1^4*t^5.13 + (5*t^5.47)/g1 + 3*g1^2*t^5.56 + g1^5*t^5.66 + (4*t^5.91)/g1^3 - t^6. + 3*g1^3*t^6.09 + 4*g1^6*t^6.19 + g1^9*t^6.28 + g1^12*t^6.38 + (3*t^6.44)/g1^2 + 9*g1*t^6.53 + 3*g1^4*t^6.63 + 3*g1^7*t^6.72 + (2*t^6.87)/g1^4 + (5*t^6.97)/g1 + 7*g1^2*t^7.06 + g1^5*t^7.16 + g1^8*t^7.25 + (8*t^7.41)/g1^3 + 4*t^7.5 + 5*g1^3*t^7.59 + 3*g1^6*t^7.69 + g1^9*t^7.78 + (7*t^7.94)/g1^2 + 2*g1*t^8.03 + 6*g1^4*t^8.13 + 3*g1^7*t^8.22 + 4*g1^10*t^8.31 + (6*t^8.37)/g1^4 + g1^13*t^8.41 - (6*t^8.47)/g1 + g1^16*t^8.5 + 6*g1^2*t^8.56 + 9*g1^5*t^8.66 + 3*g1^8*t^8.75 + 3*g1^11*t^8.85 + (6*t^8.91)/g1^3 - t^4.5/y - (g1*t^6.53)/y - (g1^4*t^6.63)/y - t^6.97/(g1*y) + (g1^2*t^7.06)/y + (g1^5*t^7.16)/y + (3*t^7.5)/y + (3*g1^3*t^7.59)/y + (2*t^7.94)/(g1^2*y) + (2*g1*t^8.03)/y + (g1^4*t^8.13)/y + t^8.37/(g1^4*y) + (6*t^8.47)/(g1*y) + (2*g1^2*t^8.56)/y - (g1^8*t^8.75)/y + (6*t^8.91)/(g1^3*y) - t^4.5*y - g1*t^6.53*y - g1^4*t^6.63*y - (t^6.97*y)/g1 + g1^2*t^7.06*y + g1^5*t^7.16*y + 3*t^7.5*y + 3*g1^3*t^7.59*y + (2*t^7.94*y)/g1^2 + 2*g1*t^8.03*y + g1^4*t^8.13*y + (t^8.37*y)/g1^4 + (6*t^8.47*y)/g1 + 2*g1^2*t^8.56*y - g1^8*t^8.75*y + (6*t^8.91*y)/g1^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46867 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2M_4$ | 0.5455 | 0.7268 | 0.7506 | [X:[], M:[0.7, 1.2, 0.9, 0.8], q:[0.75, 0.55], qb:[0.15, 0.55], phi:[0.5]] | 3*t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + t^3.9 + 6*t^4.2 + 3*t^4.5 + 8*t^4.8 + 5*t^5.1 + 3*t^5.4 + 6*t^5.7 - t^4.5/y - t^4.5*y | detail | {a: 17457/32000, c: 23257/32000, M1: 7/10, M2: 6/5, M3: 9/10, M4: 4/5, q1: 3/4, q2: 11/20, qb1: 3/20, qb2: 11/20, phi1: 1/2} |
| 46940 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ | 0.6667 | 0.8604 | 0.7748 | [X:[], M:[0.8, 0.8, 1.1, 0.7], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | t^2.1 + 4*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + t^3.9 + 4*t^4.2 + 4*t^4.5 + 10*t^4.8 + t^5.1 + 6*t^5.4 + 7*t^5.7 - t^4.5/y - t^4.5*y | detail | {a: 21333/32000, c: 27533/32000, M1: 4/5, M2: 4/5, M3: 11/10, M4: 7/10, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46210 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_1^2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_2$ | 0.6509 | 0.8273 | 0.7868 | [X:[], M:[0.8226, 0.7098, 1.1451], q:[0.75, 0.4274], qb:[0.3951, 0.4274], phi:[0.5]] | t^2.13 + 3*t^2.47 + t^3. + 2*t^3.44 + t^3.53 + 2*t^3.97 + 3*t^4.06 + t^4.26 + 3*t^4.6 + 6*t^4.94 + t^5.13 + 3*t^5.47 + 2*t^5.56 + t^5.66 + 4*t^5.9 - 2*t^6. - t^4.5/y - t^4.5*y | detail |