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 |
---|---|---|---|---|---|---|---|---|---|
47916 | SU3adj1nf2 | $\phi_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ M_1q_2\tilde{q}_2$ | 1.0956 | 1.1968 | 0.9155 | [X:[1.5377], M:[1.1558], q:[0.8844, 0.4221], qb:[0.8844, 0.4221], phi:[0.2312]] | [X:[[0, 0, 2]], M:[[0, 0, -5]], q:[[-1, 0, 1], [0, -1, 5]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$\phi_1^3$, $ \phi_1q_2\tilde{q}_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^6$, $ X_1$, $ q_1\tilde{q}_1$, $ \phi_1^4q_2\tilde{q}_2$, $ M_1\phi_1^3$, $ \phi_1^3\tilde{q}_2^3$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1q_2^2$, $ \phi_1^3q_2^3$ | $\phi_1^5q_2\tilde{q}_2$ | -2 | t^2.08 + t^3.23 + t^3.47 + 3*t^3.92 + t^4.16 + t^4.61 + 2*t^5.31 + t^5.55 + 4*t^5.88 - 2*t^6. + t^6.24 + t^6.45 + t^6.69 + t^6.93 + 3*t^7.15 + 2*t^7.39 + t^7.63 + 6*t^7.84 + t^8.08 + t^8.32 + 4*t^8.53 - 4*t^8.65 + t^8.77 + t^8.08/y^2 - t^8.77/y^2 - t^3.69/y - t^4.39/y - t^5.77/y - t^6.47/y - t^7.16/y - (3*t^7.61)/y - (2*t^7.85)/y + t^8.31/y - t^3.69*y - t^4.39*y - t^5.77*y - t^6.47*y - t^7.16*y - 3*t^7.61*y - 2*t^7.85*y + t^8.31*y + t^8.08*y^2 - t^8.77*y^2 | t^2.08/g3^3 + g3^4*t^3.23 + t^3.47/g3^5 + (g2*g3*t^3.92)/g1 + g3^3*t^3.92 + (g1*g3^5*t^3.92)/g2 + t^4.16/g3^6 + g3^2*t^4.61 + 2*g3*t^5.31 + t^5.55/g3^8 + (g2^3*t^5.88)/g3^3 + (g1*g2^2*t^5.88)/g3 + (g3^10*t^5.88)/(g1*g2^2) + (g3^12*t^5.88)/g2^3 - 2*t^6. + t^6.24/g3^9 + g3^8*t^6.45 + t^6.69/g3 + t^6.93/g3^10 + (g2*g3^5*t^7.15)/g1 + g3^7*t^7.15 + (g1*g3^9*t^7.15)/g2 + (2*t^7.39)/g3^2 + t^7.63/g3^11 + (g2^2*g3^2*t^7.84)/g1^2 + (g2*g3^4*t^7.84)/g1 + 2*g3^6*t^7.84 + (g1*g3^8*t^7.84)/g2 + (g1^2*g3^10*t^7.84)/g2^2 + t^8.08/g3^3 + t^8.32/g3^12 + (g2*g3^3*t^8.53)/g1 + 2*g3^5*t^8.53 + (g1*g3^7*t^8.53)/g2 - (g2^3*t^8.65)/g3^7 - (g1*g2^2*t^8.65)/g3^5 - (g3^6*t^8.65)/(g1*g2^2) - (g3^8*t^8.65)/g2^3 + t^8.77/g3^4 + t^8.08/(g3^3*y^2) - t^8.77/(g3^4*y^2) - t^3.69/(g3*y) - t^4.39/(g3^2*y) - t^5.77/(g3^4*y) - t^6.47/(g3^5*y) - t^7.16/(g3^6*y) - (g2*t^7.61)/(g1*y) - (g3^2*t^7.61)/y - (g1*g3^4*t^7.61)/(g2*y) - (2*t^7.85)/(g3^7*y) + (g3*t^8.31)/y - (t^3.69*y)/g3 - (t^4.39*y)/g3^2 - (t^5.77*y)/g3^4 - (t^6.47*y)/g3^5 - (t^7.16*y)/g3^6 - (g2*t^7.61*y)/g1 - g3^2*t^7.61*y - (g1*g3^4*t^7.61*y)/g2 - (2*t^7.85*y)/g3^7 + g3*t^8.31*y + (t^8.08*y^2)/g3^3 - (t^8.77*y^2)/g3^4 |
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 |
---|---|---|---|---|---|---|---|---|---|
47875 | SU3adj1nf2 | $\phi_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ | 1.1107 | 1.2278 | 0.9046 | [X:[1.5211], M:[], q:[0.8803, 0.4014], qb:[0.8803, 0.4014], phi:[0.2394]] | t^2.15 + t^2.41 + t^3.13 + 3*t^3.85 + t^4.31 + 2*t^4.56 + t^4.82 + 2*t^5.28 + t^5.54 + 4*t^5.77 - 2*t^6. - t^3.72/y - t^4.44/y - t^5.87/y - t^3.72*y - t^4.44*y - t^5.87*y | detail |