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 |
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5584 | 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_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_9q_1q_2$ | 0.7125 | 0.925 | 0.7703 | [X:[], M:[0.8, 1.2, 0.8, 0.8, 0.8, 0.8, 0.8, 0.8, 0.8], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] | [X:[], M:[[1], [0], [-1], [0], [0], [-1], [2], [-2], [1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 | {a: 57/80, c: 37/40, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, M5: 4/5, M6: 4/5, M7: 4/5, M8: 4/5, M9: 4/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_3$, $ M_4$, $ M_5$, $ M_6$, $ M_7$, $ M_8$, $ M_9$, $ \phi_1^2$, $ M_8$, $ M_3$, $ M_6$, $ M_1$, $ M_9$, $ M_7$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1M_4$, $ M_3M_4$, $ M_4^2$, $ M_1M_5$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ M_1M_6$, $ M_3M_6$, $ M_4M_6$, $ M_5M_6$, $ M_6^2$, $ M_1M_7$, $ M_3M_7$, $ M_4M_7$, $ M_5M_7$, $ M_6M_7$, $ M_7^2$, $ M_1M_8$, $ M_3M_8$, $ M_4M_8$, $ M_5M_8$, $ M_6M_8$, $ M_7M_8$, $ M_8^2$, $ M_1M_9$, $ M_3M_9$, $ M_4M_9$, $ M_5M_9$, $ M_6M_9$, $ M_7M_9$, $ M_8M_9$, $ M_9^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ M_8\phi_1^2$, $ M_9\phi_1^2$, $ \phi_1^4$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_8^2$, $ M_3M_8$, $ M_6M_8$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_4M_8$, $ M_5M_8$, $ M_8\phi_1^2$, $ M_3M_4$, $ M_3M_5$, $ M_4M_6$, $ M_5M_6$, $ M_1M_8$, $ M_8M_9$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_4$, $ M_1M_5$, $ M_3M_7$, $ M_6M_7$, $ M_4M_9$, $ M_5M_9$, $ M_1\phi_1^2$, $ M_9\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_4M_7$, $ M_5M_7$, $ M_1M_9$, $ M_9^2$, $ M_7\phi_1^2$, $ M_1M_7$, $ M_7M_9$, $ M_7^2$ | . | -9 | 9*t^2.4 + 46*t^4.8 - 9*t^6. + 157*t^7.2 - 88*t^8.4 - t^4.2/y - (8*t^6.6)/y + (44*t^7.8)/y - t^4.2*y - 8*t^6.6*y + 44*t^7.8*y | 3*t^2.4 + t^2.4/g1^2 + (2*t^2.4)/g1 + 2*g1*t^2.4 + g1^2*t^2.4 + 12*t^4.8 + t^4.8/g1^4 + (2*t^4.8)/g1^3 + (6*t^4.8)/g1^2 + (8*t^4.8)/g1 + 8*g1*t^4.8 + 6*g1^2*t^4.8 + 2*g1^3*t^4.8 + g1^4*t^4.8 - 3*t^6. - t^6./g1^2 - (2*t^6.)/g1 - 2*g1*t^6. - g1^2*t^6. + 29*t^7.2 + t^7.2/g1^6 + (2*t^7.2)/g1^5 + (6*t^7.2)/g1^4 + (12*t^7.2)/g1^3 + (19*t^7.2)/g1^2 + (24*t^7.2)/g1 + 24*g1*t^7.2 + 19*g1^2*t^7.2 + 12*g1^3*t^7.2 + 6*g1^4*t^7.2 + 2*g1^5*t^7.2 + g1^6*t^7.2 - 20*t^8.4 - t^8.4/g1^4 - (4*t^8.4)/g1^3 - (11*t^8.4)/g1^2 - (18*t^8.4)/g1 - 18*g1*t^8.4 - 11*g1^2*t^8.4 - 4*g1^3*t^8.4 - g1^4*t^8.4 - t^4.2/y - (2*t^6.6)/y - t^6.6/(g1^2*y) - (2*t^6.6)/(g1*y) - (2*g1*t^6.6)/y - (g1^2*t^6.6)/y + (10*t^7.8)/y + (2*t^7.8)/(g1^3*y) + (5*t^7.8)/(g1^2*y) + (10*t^7.8)/(g1*y) + (10*g1*t^7.8)/y + (5*g1^2*t^7.8)/y + (2*g1^3*t^7.8)/y - t^4.2*y - 2*t^6.6*y - (t^6.6*y)/g1^2 - (2*t^6.6*y)/g1 - 2*g1*t^6.6*y - g1^2*t^6.6*y + 10*t^7.8*y + (2*t^7.8*y)/g1^3 + (5*t^7.8*y)/g1^2 + (10*t^7.8*y)/g1 + 10*g1*t^7.8*y + 5*g1^2*t^7.8*y + 2*g1^3*t^7.8*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 |
---|---|---|---|---|---|---|---|---|---|
4038 | 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_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ + $ \phi_1\tilde{q}_1^2$ | 0.6962 | 0.8967 | 0.7764 | [X:[], M:[0.8077, 1.2, 0.7923, 0.8, 0.8, 0.7923, 0.8154, 0.7846], q:[0.8, 0.3923], qb:[0.8, 0.4077], phi:[0.4]] | t^2.35 + 2*t^2.38 + 3*t^2.4 + t^2.42 + t^2.45 + t^3.58 + t^4.71 + 2*t^4.73 + 6*t^4.75 + 7*t^4.78 + 10*t^4.8 + 5*t^4.82 + 4*t^4.85 + t^4.87 + t^4.89 + t^5.93 + t^5.95 + t^5.98 - 2*t^6. - t^4.2/y - t^4.2*y | detail |