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 |
---|---|---|---|---|---|---|---|---|---|
50936 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_1^2$ | 0.6467 | 0.8008 | 0.8075 | [X:[], M:[1.0, 1.2, 1.0667, 0.8, 0.8], q:[0.4333, 0.5667], qb:[0.3667, 0.7667], phi:[0.4667]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 97/150, c: 961/1200, M1: 1, M2: 6/5, M3: 16/15, M4: 4/5, M5: 4/5, q1: 13/30, q2: 17/30, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_1M_5$, $ M_3M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | $M_2M_5$ | 1 | 2*t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + 2*t^5.2 + t^5.4 + 2*t^5.6 + 2*t^5.8 + t^6. + 2*t^6.2 + 4*t^6.4 + 2*t^6.6 + 3*t^6.8 + 2*t^7. + 7*t^7.2 + t^7.4 + 5*t^7.6 + 3*t^7.8 + 4*t^8. + 3*t^8.2 + 2*t^8.4 + 2*t^8.6 + 4*t^8.8 - t^4.4/y - t^6.8/y + t^7.8/y + t^8./y + (2*t^8.2)/y + (2*t^8.4)/y + (2*t^8.6)/y + (3*t^8.8)/y - t^4.4*y - t^6.8*y + t^7.8*y + t^8.*y + 2*t^8.2*y + 2*t^8.4*y + 2*t^8.6*y + 3*t^8.8*y | 2*t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + 2*t^5.2 + t^5.4 + 2*t^5.6 + 2*t^5.8 + t^6. + 2*t^6.2 + 4*t^6.4 + 2*t^6.6 + 3*t^6.8 + 2*t^7. + 7*t^7.2 + t^7.4 + 5*t^7.6 + 3*t^7.8 + 4*t^8. + 3*t^8.2 + 2*t^8.4 + 2*t^8.6 + 4*t^8.8 - t^4.4/y - t^6.8/y + t^7.8/y + t^8./y + (2*t^8.2)/y + (2*t^8.4)/y + (2*t^8.6)/y + (3*t^8.8)/y - t^4.4*y - t^6.8*y + t^7.8*y + t^8.*y + 2*t^8.2*y + 2*t^8.4*y + 2*t^8.6*y + 3*t^8.8*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 |
---|---|---|---|---|---|---|---|---|
56196 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_1^2$ + $ M_2M_6$ | 0.6632 | 0.8298 | 0.7992 | [X:[], M:[1.0, 1.2, 1.0667, 0.8, 0.8, 0.8], q:[0.4333, 0.5667], qb:[0.3667, 0.7667], phi:[0.4667]] | 3*t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 7*t^4.8 + 3*t^5.2 + 2*t^5.4 + 3*t^5.6 + 3*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 3979/6000, c: 4979/6000, M1: 1, M2: 6/5, M3: 16/15, M4: 4/5, M5: 4/5, M6: 4/5, q1: 13/30, q2: 17/30, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
56194 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_1^2$ + $ M_3M_6$ | 0.6528 | 0.8112 | 0.8048 | [X:[], M:[1.0, 1.2, 1.0667, 0.8, 0.8, 0.9333], q:[0.4333, 0.5667], qb:[0.3667, 0.7667], phi:[0.4667]] | 2*t^2.4 + 2*t^2.8 + t^3. + t^3.4 + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + 4*t^5.2 + t^5.4 + 2*t^5.6 + 3*t^5.8 - t^4.4/y - t^4.4*y | detail | {a: 3917/6000, c: 4867/6000, M1: 1, M2: 6/5, M3: 16/15, M4: 4/5, M5: 4/5, M6: 14/15, q1: 13/30, q2: 17/30, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
56197 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_1^2$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6663 | 0.8372 | 0.7959 | [X:[], M:[1.0, 1.2, 1.0667, 0.8, 0.8, 0.7333], q:[0.4333, 0.5667], qb:[0.3667, 0.7667], phi:[0.4667]] | t^2.2 + 2*t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + 2*t^4. + t^4.2 + 2*t^4.4 + 2*t^4.6 + 4*t^4.8 + t^5. + 3*t^5.2 + 2*t^5.4 + 3*t^5.6 + 3*t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 1999/3000, c: 5023/6000, M1: 1, M2: 6/5, M3: 16/15, M4: 4/5, M5: 4/5, M6: 11/15, q1: 13/30, q2: 17/30, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
56192 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_1^2$ + $ M_6\phi_1^2$ | 0.6405 | 0.7905 | 0.8102 | [X:[], M:[1.0, 1.2, 1.0667, 0.8, 0.8, 1.0667], q:[0.4333, 0.5667], qb:[0.3667, 0.7667], phi:[0.4667]] | 2*t^2.4 + t^3. + 2*t^3.2 + t^3.4 + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + t^5.4 + 3*t^5.6 + t^5.8 - t^4.4/y - t^4.4*y | detail | {a: 1281/2000, c: 1581/2000, M1: 1, M2: 6/5, M3: 16/15, M4: 4/5, M5: 4/5, M6: 16/15, q1: 13/30, q2: 17/30, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
56195 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_1^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6585 | 0.821 | 0.8021 | [X:[], M:[1.0, 1.2, 1.0667, 0.8, 0.8, 0.8667], q:[0.4333, 0.5667], qb:[0.3667, 0.7667], phi:[0.4667]] | 2*t^2.4 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.6 + t^3.8 + 2*t^4. + t^4.2 + t^4.4 + 4*t^4.8 + 2*t^5. + 3*t^5.2 + 2*t^5.4 + 3*t^5.6 + t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 1317/2000, c: 821/1000, M1: 1, M2: 6/5, M3: 16/15, M4: 4/5, M5: 4/5, M6: 13/15, q1: 13/30, q2: 17/30, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
47256 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ | 0.6577 | 0.8161 | 0.8059 | [X:[], M:[0.9156, 1.1325, 1.1004, 0.8675, 0.6987], q:[0.5262, 0.5582], qb:[0.3414, 0.7751], phi:[0.4498]] | t^2.1 + t^2.6 + t^2.7 + t^2.75 + t^3.3 + t^3.35 + t^3.4 + t^3.95 + t^4. + t^4.05 + t^4.19 + t^4.51 + t^4.6 + 2*t^4.7 + t^4.79 + t^4.84 + t^5.21 + t^5.3 + 2*t^5.4 + t^5.45 + 2*t^5.49 + t^5.95 - t^6. - t^4.35/y - t^4.35*y | detail |