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 |
---|---|---|---|---|---|---|---|---|---|
3199 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.6156 | 0.7946 | 0.7748 | [X:[], M:[0.9952, 0.7218, 1.0048, 0.7122, 1.2878, 0.7122, 0.8489], q:[0.6439, 0.3609], qb:[0.3513, 0.9269], phi:[0.4293]] | [X:[], M:[[14], [-22], [-14], [6], [-6], [6], [24]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_6$, $ M_2$, $ M_7$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_2^2$, $ M_4M_7$, $ M_6M_7$, $ M_2M_7$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_7^2$, $ M_1M_4$, $ M_1M_6$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_1M_7$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_3M_7$, $ M_1\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_7\phi_1q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$ | -1 | 2*t^2.14 + t^2.17 + t^2.55 + t^2.58 + t^2.99 + t^3.01 + t^3.4 + t^3.42 + 3*t^4.27 + 2*t^4.3 + t^4.33 + 2*t^4.68 + 4*t^4.71 + t^4.74 + t^5.09 + 3*t^5.12 + 4*t^5.15 + t^5.18 + 3*t^5.53 + 4*t^5.56 + t^5.59 + t^5.94 + 2*t^5.97 - t^6. + t^6.38 + 4*t^6.41 + 2*t^6.44 + 2*t^6.47 + t^6.5 + t^6.79 + 3*t^6.82 + 4*t^6.85 + 2*t^6.88 + t^6.91 + 2*t^7.23 + 5*t^7.26 + 6*t^7.29 + 3*t^7.32 + t^7.35 + t^7.64 + 6*t^7.67 + 8*t^7.7 + 4*t^7.73 + t^7.76 + 3*t^8.08 + 6*t^8.11 - t^8.14 - 2*t^8.17 + t^8.49 + 4*t^8.52 + 4*t^8.55 - t^8.58 + t^8.6 + 2*t^8.63 + t^8.66 + 3*t^8.93 + 5*t^8.96 - t^4.29/y - t^6.42/y - t^6.45/y - t^6.83/y - t^6.86/y + t^7.27/y + (2*t^7.3)/y + (2*t^7.68)/y + (4*t^7.71)/y + (2*t^7.74)/y + (4*t^8.12)/y + (4*t^8.15)/y + t^8.18/y + (3*t^8.53)/y + (4*t^8.56)/y + t^8.59/y - t^8.62/y + t^8.94/y + t^8.97/y - t^4.29*y - t^6.42*y - t^6.45*y - t^6.83*y - t^6.86*y + t^7.27*y + 2*t^7.3*y + 2*t^7.68*y + 4*t^7.71*y + 2*t^7.74*y + 4*t^8.12*y + 4*t^8.15*y + t^8.18*y + 3*t^8.53*y + 4*t^8.56*y + t^8.59*y - t^8.62*y + t^8.94*y + t^8.97*y | 2*g1^6*t^2.14 + t^2.17/g1^22 + g1^24*t^2.55 + t^2.58/g1^4 + g1^14*t^2.99 + t^3.01/g1^14 + g1^32*t^3.4 + g1^4*t^3.42 + 3*g1^12*t^4.27 + (2*t^4.3)/g1^16 + t^4.33/g1^44 + 2*g1^30*t^4.68 + 4*g1^2*t^4.71 + t^4.74/g1^26 + g1^48*t^5.09 + 3*g1^20*t^5.12 + (4*t^5.15)/g1^8 + t^5.18/g1^36 + 3*g1^38*t^5.53 + 4*g1^10*t^5.56 + t^5.59/g1^18 + g1^56*t^5.94 + 2*g1^28*t^5.97 - t^6. + g1^46*t^6.38 + 4*g1^18*t^6.41 + (2*t^6.44)/g1^10 + (2*t^6.47)/g1^38 + t^6.5/g1^66 + g1^64*t^6.79 + 3*g1^36*t^6.82 + 4*g1^8*t^6.85 + (2*t^6.88)/g1^20 + t^6.91/g1^48 + 2*g1^54*t^7.23 + 5*g1^26*t^7.26 + (6*t^7.29)/g1^2 + (3*t^7.32)/g1^30 + t^7.35/g1^58 + g1^72*t^7.64 + 6*g1^44*t^7.67 + 8*g1^16*t^7.7 + (4*t^7.73)/g1^12 + t^7.76/g1^40 + 3*g1^62*t^8.08 + 6*g1^34*t^8.11 - g1^6*t^8.14 - (2*t^8.17)/g1^22 + g1^80*t^8.49 + 4*g1^52*t^8.52 + 4*g1^24*t^8.55 - t^8.58/g1^4 + t^8.6/g1^32 + (2*t^8.63)/g1^60 + t^8.66/g1^88 + 3*g1^70*t^8.93 + 5*g1^42*t^8.96 - t^4.29/(g1^2*y) - (g1^4*t^6.42)/y - t^6.45/(g1^24*y) - (g1^22*t^6.83)/y - t^6.86/(g1^6*y) + (g1^12*t^7.27)/y + (2*t^7.3)/(g1^16*y) + (2*g1^30*t^7.68)/y + (4*g1^2*t^7.71)/y + (2*t^7.74)/(g1^26*y) + (4*g1^20*t^8.12)/y + (4*t^8.15)/(g1^8*y) + t^8.18/(g1^36*y) + (3*g1^38*t^8.53)/y + (4*g1^10*t^8.56)/y + t^8.59/(g1^18*y) - t^8.62/(g1^46*y) + (g1^56*t^8.94)/y + (g1^28*t^8.97)/y - (t^4.29*y)/g1^2 - g1^4*t^6.42*y - (t^6.45*y)/g1^24 - g1^22*t^6.83*y - (t^6.86*y)/g1^6 + g1^12*t^7.27*y + (2*t^7.3*y)/g1^16 + 2*g1^30*t^7.68*y + 4*g1^2*t^7.71*y + (2*t^7.74*y)/g1^26 + 4*g1^20*t^8.12*y + (4*t^8.15*y)/g1^8 + (t^8.18*y)/g1^36 + 3*g1^38*t^8.53*y + 4*g1^10*t^8.56*y + (t^8.59*y)/g1^18 - (t^8.62*y)/g1^46 + g1^56*t^8.94*y + g1^28*t^8.97*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 |
---|---|---|---|---|---|---|---|---|
5095 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6294 | 0.818 | 0.7694 | [X:[], M:[1.0178, 0.6864, 0.9822, 0.7219, 1.2781, 0.7219, 0.8876, 0.8166], q:[0.6391, 0.3432], qb:[0.3787, 0.9349], phi:[0.426]] | t^2.06 + 2*t^2.17 + t^2.45 + t^2.56 + t^2.66 + t^2.95 + t^3.05 + t^3.44 + t^4.12 + 2*t^4.22 + 3*t^4.33 + t^4.51 + 3*t^4.62 + 4*t^4.72 + 2*t^4.83 + t^4.9 + 2*t^5.01 + 5*t^5.11 + 3*t^5.22 + t^5.33 + t^5.4 + 2*t^5.5 + 3*t^5.61 + t^5.72 + t^5.89 - 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 |
---|---|---|---|---|---|---|---|---|---|
2105 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ | 0.6038 | 0.7739 | 0.7802 | [X:[], M:[1.0166, 0.6882, 0.9834, 0.7214, 1.2786, 0.7214], q:[0.6393, 0.3441], qb:[0.3773, 0.9345], phi:[0.4262]] | t^2.06 + 2*t^2.16 + t^2.56 + t^2.95 + t^3.05 + t^3.34 + t^3.44 + t^3.54 + t^4.13 + 2*t^4.23 + 3*t^4.33 + t^4.62 + 3*t^4.72 + t^5.01 + 4*t^5.11 + 2*t^5.21 + t^5.41 + 3*t^5.51 + 3*t^5.61 + 2*t^5.71 + t^5.9 - t^6. - t^4.28/y - t^4.28*y | detail |