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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387 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_2X_1$ | 0.5775 | 0.715 | 0.8077 | [X:[1.4667], M:[0.9333, 0.5333, 1.0667, 0.8], q:[0.8, 0.8], qb:[0.2667, 0.5333], phi:[0.4]] | [X:[[28]], M:[[-4], [-28], [4], [-12]], q:[[3], [3]], qb:[[1], [17]], phi:[[-6]]] | 1 | {a: 231/400, c: 143/200, X1: 22/15, M1: 14/15, M2: 8/15, M3: 16/15, M4: 4/5, q1: 4/5, q2: 4/5, qb1: 4/15, qb2: 8/15, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_4$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ X_1$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$ | $M_1q_2\tilde{q}_1$ | -1 | 3*t^2.4 + t^2.8 + 2*t^3.2 + 2*t^4. + t^4.4 + 7*t^4.8 + 2*t^5.2 + 5*t^5.6 - t^6. + 5*t^6.4 + 13*t^7.2 + t^7.6 + 9*t^8. - 5*t^8.4 + 8*t^8.8 - t^4.2/y - (2*t^6.6)/y + (5*t^7.8)/y + (3*t^8.2)/y + (6*t^8.6)/y - t^4.2*y - 2*t^6.6*y + 5*t^7.8*y + 3*t^8.2*y + 6*t^8.6*y | (2*t^2.4)/g1^12 + g1^18*t^2.4 + t^2.8/g1^4 + 2*g1^4*t^3.2 + 2*g1^20*t^4. + g1^28*t^4.4 + (3*t^4.8)/g1^24 + 3*g1^6*t^4.8 + g1^36*t^4.8 + t^5.2/g1^16 + g1^14*t^5.2 + (3*t^5.6)/g1^8 + 2*g1^22*t^5.6 - t^6. - t^6.4/g1^22 + 4*g1^8*t^6.4 + 2*g1^38*t^6.4 - (2*t^6.8)/g1^14 + g1^16*t^6.8 + g1^46*t^6.8 + (4*t^7.2)/g1^36 + (3*t^7.2)/g1^6 + 5*g1^24*t^7.2 + g1^54*t^7.2 + t^7.6/g1^28 - g1^2*t^7.6 + g1^32*t^7.6 + (3*t^8.)/g1^20 + 2*g1^10*t^8. + 4*g1^40*t^8. - (4*t^8.4)/g1^12 - 3*g1^18*t^8.4 + 2*g1^48*t^8.4 - t^8.8/g1^34 + (2*t^8.8)/g1^4 + 4*g1^26*t^8.8 + 3*g1^56*t^8.8 - t^4.2/(g1^6*y) - (2*t^6.6)/(g1^18*y) + t^7.8/(g1^24*y) + (4*g1^6*t^7.8)/y + (2*t^8.2)/(g1^16*y) + (g1^14*t^8.2)/y + (4*t^8.6)/(g1^8*y) + (2*g1^22*t^8.6)/y - (t^4.2*y)/g1^6 - (2*t^6.6*y)/g1^18 + (t^7.8*y)/g1^24 + 4*g1^6*t^7.8*y + (2*t^8.2*y)/g1^16 + g1^14*t^8.2*y + (4*t^8.6*y)/g1^8 + 2*g1^22*t^8.6*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 |
---|---|---|---|---|---|---|---|---|---|
244 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6895 | 0.8744 | 0.7885 | [X:[], M:[0.6931, 0.6987, 0.6912, 0.695], q:[0.8263, 0.8263], qb:[0.4806, 0.4769], phi:[0.3475]] | t^2.07 + 3*t^2.08 + t^2.1 + t^2.87 + 2*t^3.91 + t^3.92 + 2*t^4.15 + 5*t^4.16 + 4*t^4.17 + 3*t^4.18 + t^4.19 + 2*t^4.95 + 3*t^4.96 + t^4.97 + t^5.75 + 2*t^5.98 + 4*t^5.99 - 2*t^6. - t^4.04/y - t^4.04*y | detail |