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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3259 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_2M_5$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6187 | 0.7531 | 0.8216 | [X:[1.6168], M:[0.8504, 0.6824, 1.1496, 0.3832, 1.3176, 0.7664], q:[0.4042, 0.7454], qb:[0.4462, 0.8714], phi:[0.3832]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, 7], [0, -2]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_6$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1M_6$, $ M_1\phi_1^2$, $ X_1$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_6\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_6q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$ | . | -2 | 2*t^2.3 + t^2.55 + t^3.45 + 2*t^3.57 + 2*t^3.83 + t^3.95 + 3*t^4.6 + 3*t^4.85 + t^5.1 + t^5.75 + 2*t^5.87 - 2*t^6. + 4*t^6.13 + t^6.25 + 2*t^6.38 + t^6.5 + 4*t^6.9 + 5*t^7.15 - 2*t^7.28 + 4*t^7.4 + 3*t^7.65 + 2*t^7.78 + t^7.91 + t^8.05 + 2*t^8.17 - 4*t^8.3 + 4*t^8.43 - 3*t^8.55 + 4*t^8.68 + t^8.8 + 2*t^8.93 - t^4.15/y - (2*t^6.45)/y + t^7.6/y + (4*t^7.85)/y - t^8.75/y + (4*t^8.87)/y - t^4.15*y - 2*t^6.45*y + t^7.6*y + 4*t^7.85*y - t^8.75*y + 4*t^8.87*y | (2*t^2.3)/g2^2 + g2^3*t^2.55 + t^3.45/g2^3 + (g1^2*t^3.57)/g2^9 + (g2^8*t^3.57)/g1^2 + (g1^2*t^3.83)/g2^4 + (g2^13*t^3.83)/g1^2 + g2^7*t^3.95 + (3*t^4.6)/g2^4 + 3*g2*t^4.85 + g2^6*t^5.1 + t^5.75/g2^5 + (g1^2*t^5.87)/g2^11 + (g2^6*t^5.87)/g1^2 - 2*t^6. + (2*g1^2*t^6.13)/g2^6 + (2*g2^11*t^6.13)/g1^2 + g2^5*t^6.25 + (g1^2*t^6.38)/g2 + (g2^16*t^6.38)/g1^2 + g2^10*t^6.5 + (4*t^6.9)/g2^6 + (g1^4*t^7.15)/g2^18 + (3*t^7.15)/g2 + (g2^16*t^7.15)/g1^4 - (g1^2*t^7.28)/g2^7 - (g2^10*t^7.28)/g1^2 + (g1^4*t^7.4)/g2^13 + 2*g2^4*t^7.4 + (g2^21*t^7.4)/g1^4 + (g1^4*t^7.65)/g2^8 + g2^9*t^7.65 + (g2^26*t^7.65)/g1^4 + g1^2*g2^3*t^7.78 + (g2^20*t^7.78)/g1^2 + g2^14*t^7.91 + t^8.05/g2^7 + (g1^2*t^8.17)/g2^13 + (g2^4*t^8.17)/g1^2 - (4*t^8.3)/g2^2 + (2*g1^2*t^8.43)/g2^8 + (2*g2^9*t^8.43)/g1^2 - 3*g2^3*t^8.55 + (2*g1^2*t^8.68)/g2^3 + (2*g2^14*t^8.68)/g1^2 + g2^8*t^8.8 + g1^2*g2^2*t^8.93 + (g2^19*t^8.93)/g1^2 - t^4.15/(g2*y) - (2*t^6.45)/(g2^3*y) + t^7.6/(g2^4*y) + (4*g2*t^7.85)/y - t^8.75/(g2^5*y) + (2*g1^2*t^8.87)/(g2^11*y) + (2*g2^6*t^8.87)/(g1^2*y) - (t^4.15*y)/g2 - (2*t^6.45*y)/g2^3 + (t^7.6*y)/g2^4 + 4*g2*t^7.85*y - (t^8.75*y)/g2^5 + (2*g1^2*t^8.87*y)/g2^11 + (2*g2^6*t^8.87*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|---|
2748 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_2M_5$ | 0.6005 | 0.7211 | 0.8327 | [X:[1.614], M:[0.8421, 0.7018, 1.1579, 0.386, 1.2982], q:[0.4035, 0.7544], qb:[0.4386, 0.8596], phi:[0.386]] | t^2.32 + t^2.53 + t^3.47 + 2*t^3.58 + t^3.68 + 2*t^3.79 + t^3.89 + t^4.63 + 2*t^4.84 + t^5.05 - t^6. - t^4.16/y - t^4.16*y | detail | {a: 5203/8664, c: 781/1083, X1: 92/57, M1: 16/19, M2: 40/57, M3: 22/19, M4: 22/57, M5: 74/57, q1: 23/57, q2: 43/57, qb1: 25/57, qb2: 49/57, phi1: 22/57} |