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 |
|---|---|---|---|---|---|---|---|---|---|
| 640 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_3\phi_1q_2\tilde{q}_1$ | 0.6337 | 0.8024 | 0.7897 | [X:[], M:[1.2, 1.1, 0.7, 0.8], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 20277/32000, c: 25677/32000, M1: 6/5, M2: 11/10, M3: 7/10, M4: 4/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_1\tilde{q}_1$, $ M_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_2M_3$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_2M_4$, $ M_3q_1q_2$, $ M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $M_4q_1q_2$, $ M_4q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | 2 | t^2.1 + 2*t^2.4 + t^3. + 2*t^3.3 + 3*t^3.6 + t^3.9 + 4*t^4.2 + 2*t^4.5 + 3*t^4.8 + t^5.1 + 4*t^5.4 + 5*t^5.7 + 2*t^6. + 4*t^6.3 + 9*t^6.6 + 6*t^6.9 + 8*t^7.2 + 5*t^7.5 + 10*t^7.8 + 3*t^8.1 + 8*t^8.4 + 6*t^8.7 - t^4.5/y - t^6.6/y + t^7.2/y + (2*t^7.5)/y + t^8.1/y + (5*t^8.4)/y + (6*t^8.7)/y - t^4.5*y - t^6.6*y + t^7.2*y + 2*t^7.5*y + t^8.1*y + 5*t^8.4*y + 6*t^8.7*y | t^2.1 + 2*t^2.4 + t^3. + 2*t^3.3 + 3*t^3.6 + t^3.9 + 4*t^4.2 + 2*t^4.5 + 3*t^4.8 + t^5.1 + 4*t^5.4 + 5*t^5.7 + 2*t^6. + 4*t^6.3 + 9*t^6.6 + 6*t^6.9 + 8*t^7.2 + 5*t^7.5 + 10*t^7.8 + 3*t^8.1 + 8*t^8.4 + 6*t^8.7 - t^4.5/y - t^6.6/y + t^7.2/y + (2*t^7.5)/y + t^8.1/y + (5*t^8.4)/y + (6*t^8.7)/y - t^4.5*y - t^6.6*y + t^7.2*y + 2*t^7.5*y + t^8.1*y + 5*t^8.4*y + 6*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 |
|---|---|---|---|---|---|---|---|---|
| 1020 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_1M_5$ | 0.6502 | 0.8314 | 0.782 | [X:[], M:[1.2, 1.1, 0.7, 0.8, 0.8], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | t^2.1 + 3*t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + t^3.9 + 4*t^4.2 + 3*t^4.5 + 6*t^4.8 + t^5.1 + 5*t^5.4 + 6*t^5.7 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 4161/6400, c: 5321/6400, M1: 6/5, M2: 11/10, M3: 7/10, M4: 4/5, M5: 4/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| 1019 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_2M_5$ | 0.6428 | 0.8178 | 0.786 | [X:[], M:[1.2, 1.1, 0.7, 0.8, 0.9], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | t^2.1 + 2*t^2.4 + t^2.7 + t^3. + t^3.3 + 3*t^3.6 + t^3.9 + 4*t^4.2 + 2*t^4.5 + 4*t^4.8 + 3*t^5.1 + 4*t^5.4 + 4*t^5.7 + 3*t^6. - t^4.5/y - t^4.5*y | detail | {a: 2571/4000, c: 3271/4000, M1: 6/5, M2: 11/10, M3: 7/10, M4: 4/5, M5: 9/10, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| 1018 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ | 0.6131 | 0.7631 | 0.8034 | [X:[], M:[1.2, 1.1, 0.7, 0.8, 1.3], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 2*t^2.4 + t^3. + 2*t^3.3 + 3*t^3.6 + 2*t^3.9 + 3*t^4.2 + 3*t^4.8 + 2*t^5.4 + 2*t^5.7 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 981/1600, c: 1221/1600, M1: 6/5, M2: 11/10, M3: 7/10, M4: 4/5, M5: 13/10, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| 1022 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6542 | 0.8417 | 0.7772 | [X:[], M:[1.2, 1.1, 0.7, 0.8, 0.7], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 2*t^2.1 + 2*t^2.4 + t^3. + 2*t^3.3 + 3*t^3.6 + 6*t^4.2 + 4*t^4.5 + 3*t^4.8 + 2*t^5.1 + 6*t^5.4 + 8*t^5.7 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 10467/16000, c: 13467/16000, M1: 6/5, M2: 11/10, M3: 7/10, M4: 4/5, M5: 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 |
|---|---|---|---|---|---|---|---|---|---|
| 398 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ | 0.6341 | 0.8036 | 0.7891 | [X:[], M:[1.211, 1.1055, 0.6835, 0.789], q:[0.75, 0.4335], qb:[0.3555, 0.461], phi:[0.5]] | t^2.05 + t^2.37 + t^2.45 + t^3. + 2*t^3.32 + t^3.55 + 2*t^3.63 + t^3.87 + 2*t^4.1 + t^4.18 + t^4.27 + t^4.42 + t^4.5 + t^4.73 + t^4.82 + t^4.9 + t^5.05 + 3*t^5.37 + t^5.45 + t^5.6 + 3*t^5.68 + t^5.77 + t^5.92 - t^4.5/y - t^4.5*y | detail |