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 |
|---|---|---|---|---|---|---|---|---|---|
| 1672 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ | 0.6229 | 0.7854 | 0.7931 | [X:[], M:[0.9, 1.2, 0.7, 0.8, 0.8, 1.0], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 4983/8000, c: 6283/8000, M1: 9/10, M2: 6/5, M3: 7/10, M4: 4/5, M5: 4/5, M6: 1, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_6$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_3M_5$, $ M_3\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_3$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ q_1\tilde{q}_1$, $ M_1M_4$, $ M_1M_5$, $ M_3M_6$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_4M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_3q_1q_2$, $ M_1M_6$, $ M_4q_1q_2$, $ M_5q_1q_2$ | $\phi_1\tilde{q}_1^2$, $ M_3q_1\tilde{q}_2$ | 0 | t^2.1 + 3*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.9 + 2*t^4.2 + 3*t^4.5 + 8*t^4.8 + 4*t^5.1 + 4*t^5.4 + 2*t^5.7 + 4*t^6.3 + 5*t^6.6 + 6*t^6.9 + 14*t^7.2 + 8*t^7.5 + 7*t^7.8 + 3*t^8.1 - t^8.4 + 3*t^8.7 - t^4.2/y - t^6.3/y - (2*t^6.6)/y - t^6.9/y + (4*t^7.5)/y + (6*t^7.8)/y + (5*t^8.1)/y + (3*t^8.4)/y + (2*t^8.7)/y - t^4.2*y - t^6.3*y - 2*t^6.6*y - t^6.9*y + 4*t^7.5*y + 6*t^7.8*y + 5*t^8.1*y + 3*t^8.4*y + 2*t^8.7*y | t^2.1 + 3*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.9 + 2*t^4.2 + 3*t^4.5 + 8*t^4.8 + 4*t^5.1 + 4*t^5.4 + 2*t^5.7 + 4*t^6.3 + 5*t^6.6 + 6*t^6.9 + 14*t^7.2 + 8*t^7.5 + 7*t^7.8 + 3*t^8.1 - t^8.4 + 3*t^8.7 - t^4.2/y - t^6.3/y - (2*t^6.6)/y - t^6.9/y + (4*t^7.5)/y + (6*t^7.8)/y + (5*t^8.1)/y + (3*t^8.4)/y + (2*t^8.7)/y - t^4.2*y - t^6.3*y - 2*t^6.6*y - t^6.9*y + 4*t^7.5*y + 6*t^7.8*y + 5*t^8.1*y + 3*t^8.4*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 4063 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_3M_7$ | 0.6023 | 0.7461 | 0.8073 | [X:[], M:[0.9, 1.2, 0.7, 0.8, 0.8, 1.0, 1.3], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]] | 3*t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.9 + t^4.2 + 7*t^4.8 + 3*t^5.1 + 3*t^5.4 + 2*t^5.7 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 771/1280, c: 191/256, M1: 9/10, M2: 6/5, M3: 7/10, M4: 4/5, M5: 4/5, M6: 1, M7: 13/10, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, phi1: 2/5} |
| 4064 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_7q_1q_2$ | 0.632 | 0.8007 | 0.7893 | [X:[], M:[0.9, 1.2, 0.7, 0.8, 0.8, 1.0, 0.9], q:[0.8, 0.3], qb:[0.8, 0.5], phi:[0.4]] | t^2.1 + 3*t^2.4 + 2*t^2.7 + t^3. + t^3.9 + 2*t^4.2 + 3*t^4.5 + 9*t^4.8 + 7*t^5.1 + 5*t^5.4 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 20223/32000, c: 25623/32000, M1: 9/10, M2: 6/5, M3: 7/10, M4: 4/5, M5: 4/5, M6: 1, M7: 9/10, q1: 4/5, q2: 3/10, qb1: 4/5, qb2: 1/2, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1077 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ | 0.6642 | 0.8416 | 0.7892 | [X:[], M:[0.7807, 1.2, 0.8193, 0.8, 0.8, 0.7613], q:[0.8, 0.4193], qb:[0.8, 0.3807], phi:[0.4]] | t^2.28 + t^2.34 + 3*t^2.4 + t^2.46 + t^3.48 + t^3.54 + t^3.66 + t^4.57 + t^4.63 + 4*t^4.68 + 4*t^4.74 + 8*t^4.8 + 3*t^4.86 + t^4.92 + t^5.77 + 2*t^5.83 + 3*t^5.88 + 3*t^5.94 - t^6. - t^4.2/y - t^4.2*y | detail |