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 |
---|---|---|---|---|---|---|---|---|---|
56663 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4^2$ + $ M_2M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ | 0.5697 | 0.7113 | 0.8008 | [X:[], M:[1.2667, 0.8667, 0.7333, 1.0, 1.1333, 1.0667], q:[0.5, 0.2333], qb:[0.6333, 0.7667], phi:[0.4667]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 1709/3000, c: 1067/1500, M1: 19/15, M2: 13/15, M3: 11/15, M4: 1, M5: 17/15, M6: 16/15, q1: 1/2, q2: 7/30, qb1: 19/30, qb2: 23/30, phi1: 7/15} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_2$, $ \phi_1q_2^2$, $ M_4$, $ M_6$, $ M_5$, $ \phi_1q_1q_2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_1\tilde{q}_1$, $ M_3\phi_1q_2^2$, $ M_2^2$, $ M_3M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_6$, $ M_2\phi_1q_2^2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^2q_2^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_6$, $ M_4\phi_1q_2^2$ | $M_6\phi_1q_2^2$ | 0 | t^2.2 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^4.8 + t^5. + 2*t^5.2 + 2*t^5.4 + 2*t^5.6 + 2*t^5.8 + 2*t^6.2 + 2*t^6.4 + 3*t^6.6 + 2*t^6.8 + 2*t^7. + 3*t^7.2 + 2*t^7.4 + 2*t^7.6 + 3*t^7.8 + 4*t^8. + 2*t^8.2 + 3*t^8.4 + t^8.6 + t^8.8 - t^4.4/y + t^7.8/y + t^8./y + t^8.2/y + (2*t^8.4)/y + (2*t^8.6)/y + (3*t^8.8)/y - t^4.4*y + t^7.8*y + t^8.*y + t^8.2*y + 2*t^8.4*y + 2*t^8.6*y + 3*t^8.8*y | t^2.2 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^4.8 + t^5. + 2*t^5.2 + 2*t^5.4 + 2*t^5.6 + 2*t^5.8 + 2*t^6.2 + 2*t^6.4 + 3*t^6.6 + 2*t^6.8 + 2*t^7. + 3*t^7.2 + 2*t^7.4 + 2*t^7.6 + 3*t^7.8 + 4*t^8. + 2*t^8.2 + 3*t^8.4 + t^8.6 + t^8.8 - t^4.4/y + t^7.8/y + t^8./y + t^8.2/y + (2*t^8.4)/y + (2*t^8.6)/y + (3*t^8.8)/y - t^4.4*y + t^7.8*y + t^8.*y + 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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
55006 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4^2$ + $ M_2M_5$ + $ \phi_1\tilde{q}_2^2$ | 0.5758 | 0.7217 | 0.7979 | [X:[], M:[1.2667, 0.8667, 0.7333, 1.0, 1.1333], q:[0.5, 0.2333], qb:[0.6333, 0.7667], phi:[0.4667]] | t^2.2 + t^2.6 + 2*t^2.8 + t^3. + t^3.4 + t^3.6 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^4.8 + 2*t^5. + 2*t^5.2 + 2*t^5.4 + 4*t^5.6 + 2*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 691/1200, c: 433/600, M1: 19/15, M2: 13/15, M3: 11/15, M4: 1, M5: 17/15, q1: 1/2, q2: 7/30, qb1: 19/30, qb2: 23/30, phi1: 7/15} |