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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2872 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6^2$ | 0.566 | 0.7123 | 0.7946 | [X:[1.2385], M:[1.0795, 0.7615, 0.9205, 0.682, 1.0795, 1.0], q:[0.591, 0.9885], qb:[0.3295, 0.409], phi:[0.4205]] | [X:[[3]], M:[[1], [-3], [-1], [-4], [1], [0]], q:[[-2], [3]], qb:[[1], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_6$, $ M_1$, $ M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_4^2$, $ q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ \phi_1^4$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1^2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_4X_1$, $ \tilde{q}_1\tilde{q}_2X_1$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.05 + t^2.22 + t^2.52 + t^3. + 2*t^3.24 + t^3.48 + t^3.72 + t^4.09 + t^4.19 + t^4.26 + t^4.43 + t^4.57 + 2*t^4.74 + 2*t^5.05 + t^5.22 + t^5.28 + 2*t^5.45 + t^5.52 + t^5.69 + 2*t^5.76 + t^5.93 - t^6. + t^6.14 + 2*t^6.24 + t^6.31 + t^6.41 + 3*t^6.48 - t^6.55 + t^6.61 + t^6.65 + 2*t^6.72 + t^6.78 + 2*t^6.95 - t^7.02 + 2*t^7.09 + t^7.19 + t^7.26 + t^7.33 + 3*t^7.43 - t^7.5 + 2*t^7.57 + 2*t^7.67 + t^7.81 + 2*t^7.91 + 2*t^7.98 - t^8.05 + t^8.15 + t^8.18 - 2*t^8.22 + 2*t^8.28 + t^8.35 + t^8.39 + 2*t^8.45 - t^8.59 + t^8.62 + t^8.66 + 2*t^8.69 + t^8.83 + t^8.86 + 2*t^8.93 - t^4.26/y - t^6.31/y - t^6.78/y + t^7.02/y + t^7.26/y - t^7.5/y + t^7.57/y + (2*t^7.74)/y + t^8.05/y + (2*t^8.22)/y + (2*t^8.28)/y - t^8.35/y + (2*t^8.45)/y + (2*t^8.52)/y + t^8.69/y + (3*t^8.76)/y - t^8.83/y + t^8.93/y - t^4.26*y - t^6.31*y - t^6.78*y + t^7.02*y + t^7.26*y - t^7.5*y + t^7.57*y + 2*t^7.74*y + t^8.05*y + 2*t^8.22*y + 2*t^8.28*y - t^8.35*y + 2*t^8.45*y + 2*t^8.52*y + t^8.69*y + 3*t^8.76*y - t^8.83*y + t^8.93*y | t^2.05/g1^4 + g1^3*t^2.22 + t^2.52/g1^2 + t^3. + 2*g1*t^3.24 + g1^2*t^3.48 + g1^3*t^3.72 + t^4.09/g1^8 + g1^5*t^4.19 + t^4.26/g1 + g1^6*t^4.43 + t^4.57/g1^6 + 2*g1*t^4.74 + (2*t^5.05)/g1^4 + g1^3*t^5.22 + t^5.28/g1^3 + 2*g1^4*t^5.45 + t^5.52/g1^2 + g1^5*t^5.69 + (2*t^5.76)/g1 + g1^6*t^5.93 - t^6. + t^6.14/g1^12 + 2*g1*t^6.24 + t^6.31/g1^5 + g1^8*t^6.41 + 3*g1^2*t^6.48 - t^6.55/g1^4 + t^6.61/g1^10 + g1^9*t^6.65 + 2*g1^3*t^6.72 + t^6.78/g1^3 + 2*g1^4*t^6.95 - t^7.02/g1^2 + (2*t^7.09)/g1^8 + g1^5*t^7.19 + t^7.26/g1 + t^7.33/g1^7 + 3*g1^6*t^7.43 - t^7.5 + (2*t^7.57)/g1^6 + 2*g1^7*t^7.67 + t^7.81/g1^5 + 2*g1^8*t^7.91 + 2*g1^2*t^7.98 - t^8.05/g1^4 + g1^9*t^8.15 + t^8.18/g1^16 - 2*g1^3*t^8.22 + (2*t^8.28)/g1^3 + t^8.35/g1^9 + g1^10*t^8.39 + 2*g1^4*t^8.45 - t^8.59/g1^8 + g1^11*t^8.62 + t^8.66/g1^14 + 2*g1^5*t^8.69 + t^8.83/g1^7 + g1^12*t^8.86 + 2*g1^6*t^8.93 - t^4.26/(g1*y) - t^6.31/(g1^5*y) - t^6.78/(g1^3*y) + t^7.02/(g1^2*y) + t^7.26/(g1*y) - t^7.5/y + t^7.57/(g1^6*y) + (2*g1*t^7.74)/y + t^8.05/(g1^4*y) + (2*g1^3*t^8.22)/y + (2*t^8.28)/(g1^3*y) - t^8.35/(g1^9*y) + (2*g1^4*t^8.45)/y + (2*t^8.52)/(g1^2*y) + (g1^5*t^8.69)/y + (3*t^8.76)/(g1*y) - t^8.83/(g1^7*y) + (g1^6*t^8.93)/y - (t^4.26*y)/g1 - (t^6.31*y)/g1^5 - (t^6.78*y)/g1^3 + (t^7.02*y)/g1^2 + (t^7.26*y)/g1 - t^7.5*y + (t^7.57*y)/g1^6 + 2*g1*t^7.74*y + (t^8.05*y)/g1^4 + 2*g1^3*t^8.22*y + (2*t^8.28*y)/g1^3 - (t^8.35*y)/g1^9 + 2*g1^4*t^8.45*y + (2*t^8.52*y)/g1^2 + g1^5*t^8.69*y + (3*t^8.76*y)/g1 - (t^8.83*y)/g1^7 + g1^6*t^8.93*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 |
---|---|---|---|---|---|---|---|---|
3436 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_6^2$ + $ M_7\phi_1^2$ | 0.5526 | 0.6903 | 0.8005 | [X:[1.2221], M:[1.074, 0.7779, 0.926, 0.7039, 1.074, 1.0, 1.148], q:[0.602, 0.9721], qb:[0.324, 0.398], phi:[0.426]] | t^2.11 + t^2.17 + t^3. + 2*t^3.22 + 2*t^3.44 + t^3.67 + t^4.11 + t^4.22 + t^4.28 + t^4.33 + t^4.72 + t^5.11 + t^5.17 + t^5.33 + 2*t^5.39 + t^5.56 + 2*t^5.61 + t^5.83 - 2*t^6. - t^4.28/y - t^4.28*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
1855 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6058 | 0.7557 | 0.8017 | [X:[1.4759], M:[0.9867, 0.5241, 1.0133, 0.7954, 0.9867, 0.742], q:[0.7122, 0.9035], qb:[0.3012, 0.5458], phi:[0.3844]] | t^2.23 + t^2.31 + t^2.39 + t^2.54 + 2*t^2.96 + t^3.69 + t^4.35 + t^4.43 + t^4.45 + t^4.53 + 2*t^4.61 + t^4.69 + 2*t^4.77 + 2*t^4.85 + t^4.93 + t^5.08 + 2*t^5.19 + t^5.27 + t^5.35 + 2*t^5.5 + 3*t^5.92 - 2*t^6. - t^4.15/y - t^4.15*y | detail |