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 |
|---|---|---|---|---|---|---|---|---|---|
| 45917 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ \phi_1^4$ | 0.6583 | 0.8368 | 0.7867 | [X:[], M:[0.8221, 0.8221], q:[0.75, 0.4279], qb:[0.4279, 0.3942], phi:[0.5]] | [X:[], M:[[1, 1], [-1, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ q_2\tilde{q}_2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ M_2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_2\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -4 | 4*t^2.47 + t^2.57 + t^3. + t^3.43 + t^3.87 + 2*t^3.97 + 3*t^4.07 + 10*t^4.93 + 4*t^5.03 + t^5.13 + 4*t^5.47 + t^5.57 + 2*t^5.9 - 4*t^6. - 2*t^6.1 + 4*t^6.33 + 8*t^6.43 + 10*t^6.53 + 3*t^6.63 + t^6.87 - 2*t^6.97 - t^7.07 + t^7.3 + 18*t^7.4 + 5*t^7.5 + t^7.7 + t^7.73 + 2*t^7.83 + 12*t^7.93 + 6*t^8.03 + 6*t^8.13 + 2*t^8.37 - 18*t^8.47 - 12*t^8.57 - 2*t^8.67 + 10*t^8.8 + 18*t^8.9 - t^4.5/y - (2*t^6.97)/y + (6*t^7.93)/y + (6*t^8.03)/y + (4*t^8.47)/y + t^8.57/y + (4*t^8.9)/y - t^4.5*y - 2*t^6.97*y + 6*t^7.93*y + 6*t^8.03*y + 4*t^8.47*y + t^8.57*y + 4*t^8.9*y | (2*t^2.47)/g1 + 2*g1*g2*t^2.47 + t^2.57/g2 + t^3. + g2*t^3.43 + g2^2*t^3.87 + t^3.97/g1 + g1*g2*t^3.97 + g1^2*t^4.07 + t^4.07/(g1^2*g2^2) + t^4.07/g2 + (3*t^4.93)/g1^2 + 4*g2*t^4.93 + 3*g1^2*g2^2*t^4.93 + 2*g1*t^5.03 + (2*t^5.03)/(g1*g2) + t^5.13/g2^2 + (2*t^5.47)/g1 + 2*g1*g2*t^5.47 + t^5.57/g2 + (g2*t^5.9)/g1 + g1*g2^2*t^5.9 - 2*t^6. - t^6./(g1^2*g2) - g1^2*g2*t^6. - t^6.1/(g1*g2^2) - (g1*t^6.1)/g2 + (2*g2^2*t^6.33)/g1 + 2*g1*g2^3*t^6.33 + (2*t^6.43)/g1^2 + 4*g2*t^6.43 + 2*g1^2*g2^2*t^6.43 + 3*g1*t^6.53 + (2*t^6.53)/(g1^3*g2^2) + (3*t^6.53)/(g1*g2) + 2*g1^3*g2*t^6.53 + t^6.63/(g1^2*g2^3) + t^6.63/g2^2 + (g1^2*t^6.63)/g2 + g2^2*t^6.87 - t^6.97/g1 - g1*g2*t^6.97 - t^7.07/g2 + g2^3*t^7.3 + (4*t^7.4)/g1^3 + (5*g2*t^7.4)/g1 + 5*g1*g2^2*t^7.4 + 4*g1^3*g2^3*t^7.4 + t^7.5 + (2*t^7.5)/(g1^2*g2) + 2*g1^2*g2*t^7.5 + t^7.7/g2^3 + g2^4*t^7.73 + (g2^2*t^7.83)/g1 + g1*g2^3*t^7.83 + (4*t^7.93)/g1^2 + 4*g2*t^7.93 + 4*g1^2*g2^2*t^7.93 + 2*g1*t^8.03 + t^8.03/(g1^3*g2^2) + (2*t^8.03)/(g1*g2) + g1^3*g2*t^8.03 + g1^4*t^8.13 + t^8.13/(g1^4*g2^4) + t^8.13/(g1^2*g2^3) + (2*t^8.13)/g2^2 + (g1^2*t^8.13)/g2 + (g2*t^8.37)/g1^2 + g1^2*g2^3*t^8.37 - (7*t^8.47)/g1 - (2*t^8.47)/(g1^3*g2) - 7*g1*g2*t^8.47 - 2*g1^3*g2^2*t^8.47 - 3*g1^2*t^8.57 - (3*t^8.57)/(g1^2*g2^2) - (6*t^8.57)/g2 - t^8.67/(g1*g2^3) - (g1*t^8.67)/g2^2 + (3*g2^2*t^8.8)/g1^2 + 4*g2^3*t^8.8 + 3*g1^2*g2^4*t^8.8 + (3*t^8.9)/g1^3 + (6*g2*t^8.9)/g1 + 6*g1*g2^2*t^8.9 + 3*g1^3*g2^3*t^8.9 - t^4.5/y - t^6.97/(g1*y) - (g1*g2*t^6.97)/y + t^7.93/(g1^2*y) + (4*g2*t^7.93)/y + (g1^2*g2^2*t^7.93)/y + (3*g1*t^8.03)/y + (3*t^8.03)/(g1*g2*y) + (2*t^8.47)/(g1*y) + (2*g1*g2*t^8.47)/y + t^8.57/(g2*y) + (2*g2*t^8.9)/(g1*y) + (2*g1*g2^2*t^8.9)/y - t^4.5*y - (t^6.97*y)/g1 - g1*g2*t^6.97*y + (t^7.93*y)/g1^2 + 4*g2*t^7.93*y + g1^2*g2^2*t^7.93*y + 3*g1*t^8.03*y + (3*t^8.03*y)/(g1*g2) + (2*t^8.47*y)/g1 + 2*g1*g2*t^8.47*y + (t^8.57*y)/g2 + (2*g2*t^8.9*y)/g1 + 2*g1*g2^2*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 45977 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_3\phi_1q_2\tilde{q}_2$ | 0.6791 | 0.8778 | 0.7737 | [X:[], M:[0.8213, 0.8237, 0.6763], q:[0.75, 0.4287], qb:[0.4263, 0.395], phi:[0.5]] | t^2.03 + 2*t^2.46 + 2*t^2.47 + t^2.56 + t^3. + t^3.44 + t^3.87 + t^3.96 + 3*t^4.06 + t^4.07 + 2*t^4.49 + 2*t^4.5 + t^4.59 + 3*t^4.93 + 7*t^4.94 + 3*t^5.03 + 2*t^5.04 + t^5.13 + 3*t^5.46 + 2*t^5.47 + t^5.56 + 2*t^5.9 + t^5.91 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 46003 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.6789 | 0.8759 | 0.775 | [X:[], M:[0.8267, 0.8267, 0.6933], q:[0.75, 0.4233], qb:[0.4233, 0.4033], phi:[0.5]] | t^2.08 + 4*t^2.48 + t^2.54 + t^3. + t^3.46 + 2*t^3.98 + 3*t^4.04 + t^4.16 + 4*t^4.56 + t^4.62 + 10*t^4.96 + 4*t^5.02 + 2*t^5.08 + 4*t^5.48 + 2*t^5.54 + 2*t^5.94 - 4*t^6. - t^4.5/y - t^4.5*y | detail | {a: 325849/480000, c: 420449/480000, M1: 62/75, M2: 62/75, M3: 52/75, q1: 3/4, q2: 127/300, qb1: 127/300, qb2: 121/300, phi1: 1/2} |
| 45974 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_3q_1\tilde{q}_2$ | 0.6719 | 0.8594 | 0.7818 | [X:[], M:[0.8333, 0.8333, 0.8333], q:[0.75, 0.4167], qb:[0.4167, 0.4167], phi:[0.5]] | 6*t^2.5 + t^3. + 6*t^4. + 21*t^5. + 6*t^5.5 - 9*t^6. - t^4.5/y - t^4.5*y | detail | {a: 43/64, c: 55/64, M1: 5/6, M2: 5/6, M3: 5/6, q1: 3/4, q2: 5/12, qb1: 5/12, qb2: 5/12, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 45868 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ | 0.7148 | 0.8821 | 0.8104 | [X:[], M:[0.6739, 0.6739], q:[0.7976, 0.5285], qb:[0.5285, 0.526], phi:[0.4048]] | 2*t^2.02 + t^2.43 + 2*t^3.16 + t^3.17 + t^3.97 + 3*t^4.04 + t^4.37 + 2*t^4.38 + 3*t^4.39 + 2*t^4.45 + t^4.86 + 6*t^5.19 + 2*t^5.59 + t^5.6 - 5*t^6. - t^4.21/y - t^4.21*y | detail |