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 |
|---|---|---|---|---|---|---|---|---|---|
| 656 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ M_1M_4$ | 0.5159 | 0.6722 | 0.7675 | [X:[], M:[0.9, 1.2, 0.8, 1.1], q:[0.75, 0.55], qb:[0.55, 0.15], phi:[0.5]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 16509/32000, c: 21509/32000, M1: 9/10, M2: 6/5, M3: 4/5, M4: 11/10, q1: 3/4, q2: 11/20, qb1: 11/20, qb2: 3/20, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_4$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1q_2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_2q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | $M_4q_1\tilde{q}_2$, $ q_1q_2^2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | 2 | 2*t^2.1 + t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 2*t^4.5 + 4*t^4.8 + 3*t^5.1 + 3*t^5.4 + 4*t^5.7 + 2*t^6. + 5*t^6.3 + 4*t^6.6 + 7*t^6.9 + 6*t^7.2 + 3*t^7.5 + 7*t^7.8 + 3*t^8.1 + 6*t^8.4 + 6*t^8.7 - t^4.5/y + t^7.2/y + (2*t^7.5)/y + (2*t^7.8)/y + (3*t^8.1)/y + (3*t^8.4)/y + (6*t^8.7)/y - t^4.5*y + t^7.2*y + 2*t^7.5*y + 2*t^7.8*y + 3*t^8.1*y + 3*t^8.4*y + 6*t^8.7*y | 2*t^2.1 + t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 2*t^4.5 + 4*t^4.8 + 3*t^5.1 + 3*t^5.4 + 4*t^5.7 + 2*t^6. + 5*t^6.3 + 4*t^6.6 + 7*t^6.9 + 6*t^7.2 + 3*t^7.5 + 7*t^7.8 + 3*t^8.1 + 6*t^8.4 + 6*t^8.7 - t^4.5/y + t^7.2/y + (2*t^7.5)/y + (2*t^7.8)/y + (3*t^8.1)/y + (3*t^8.4)/y + (6*t^8.7)/y - t^4.5*y + t^7.2*y + 2*t^7.5*y + 2*t^7.8*y + 3*t^8.1*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 1044 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ M_1M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5324 | 0.7012 | 0.7593 | [X:[], M:[0.9, 1.2, 0.8, 1.1, 0.8], q:[0.75, 0.55], qb:[0.55, 0.15], phi:[0.5]] | 2*t^2.1 + 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 2*t^3.9 + 3*t^4.2 + 4*t^4.5 + 6*t^4.8 + 4*t^5.1 + 4*t^5.4 + 3*t^5.7 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 17037/32000, c: 22437/32000, M1: 9/10, M2: 6/5, M3: 4/5, M4: 11/10, M5: 4/5, q1: 3/4, q2: 11/20, qb1: 11/20, qb2: 3/20, phi1: 1/2} |
| 1967 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ M_1M_4$ + $ M_5q_1q_2$ | 0.5364 | 0.7114 | 0.754 | [X:[], M:[0.9, 1.2, 0.8, 1.1, 0.7], q:[0.75, 0.55], qb:[0.55, 0.15], phi:[0.5]] | 3*t^2.1 + t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + t^3.9 + 6*t^4.2 + 3*t^4.5 + 5*t^4.8 + 4*t^5.1 + 4*t^5.4 + 6*t^5.7 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 8583/16000, c: 11383/16000, M1: 9/10, M2: 6/5, M3: 4/5, M4: 11/10, M5: 7/10, q1: 3/4, q2: 11/20, qb1: 11/20, qb2: 3/20, phi1: 1/2} |
| 1966 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_2$ | 0.5068 | 0.6568 | 0.7716 | [X:[], M:[0.9, 1.2, 0.8, 1.1, 1.1], q:[0.75, 0.55], qb:[0.55, 0.15], phi:[0.5]] | 2*t^2.1 + t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 2*t^4.5 + 2*t^4.8 + 2*t^5.1 + 4*t^5.4 + 4*t^5.7 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 8109/16000, c: 10509/16000, M1: 9/10, M2: 6/5, M3: 4/5, M4: 11/10, M5: 11/10, q1: 3/4, q2: 11/20, qb1: 11/20, qb2: 3/20, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 404 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ | 0.525 | 0.6875 | 0.7636 | [X:[], M:[0.9, 1.2, 0.8], q:[0.75, 0.55], qb:[0.55, 0.15], phi:[0.5]] | 2*t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 2*t^4.5 + 6*t^4.8 + 4*t^5.1 + 3*t^5.4 + 4*t^5.7 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 21/40, c: 11/16, M1: 9/10, M2: 6/5, M3: 4/5, q1: 3/4, q2: 11/20, qb1: 11/20, qb2: 3/20, phi1: 1/2} |