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 |
---|---|---|---|---|---|---|---|---|---|
46520 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1^2$ | 0.7183 | 0.8774 | 0.8187 | [X:[], M:[0.8187, 0.8187, 1.0, 1.0, 1.0906], q:[0.6359, 0.5453], qb:[0.5453, 0.4547], phi:[0.4547]] | [X:[], M:[[1, 5], [-1, 3], [-1, -1], [1, 1], [0, -2]], q:[[0, -3], [-1, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_1$, $ M_3$, $ M_4$, $ M_5$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ \phi_1q_1^2$, $ M_2M_3$, $ M_1M_3$, $ M_2M_4$, $ M_1M_4$, $ M_2M_5$, $ M_2q_2\tilde{q}_1$, $ M_1M_5$ | $M_3^2$, $ M_4^2$ | -3 | 2*t^2.46 + 2*t^3. + 3*t^3.27 + t^4.09 + 2*t^4.36 + 4*t^4.64 + 5*t^4.91 + t^5.18 + 3*t^5.46 + 2*t^5.73 - 3*t^6. + 2*t^6.27 + 4*t^6.54 + 2*t^6.55 + 3*t^6.82 + 6*t^7.09 + 4*t^7.36 + 4*t^7.37 + 6*t^7.64 + 10*t^7.91 + 5*t^8.18 + t^8.45 - 4*t^8.46 + 2*t^8.73 - t^4.36/y - (2*t^6.82)/y + (3*t^7.91)/y + (4*t^8.46)/y + (6*t^8.73)/y - t^4.36*y - 2*t^6.82*y + 3*t^7.91*y + 4*t^8.46*y + 6*t^8.73*y | (g2^3*t^2.46)/g1 + g1*g2^5*t^2.46 + t^3./(g1*g2) + g1*g2*t^3. + (3*t^3.27)/g2^2 + g2^3*t^4.09 + t^4.36/g1 + g1*g2^2*t^4.36 + t^4.64/(g1^2*g2^3) + (2*t^4.64)/g2 + g1^2*g2*t^4.64 + t^4.91/(g1*g2^4) + (g1*t^4.91)/g2^2 + (g2^6*t^4.91)/g1^2 + g2^8*t^4.91 + g1^2*g2^10*t^4.91 + t^5.18/g2^5 + (g2^2*t^5.46)/g1^2 + g2^4*t^5.46 + g1^2*g2^6*t^5.46 + (g2*t^5.73)/g1 + g1*g2^3*t^5.73 - 3*t^6. + t^6.27/(g1*g2^3) + (g1*t^6.27)/g2 + (4*t^6.54)/g2^4 + (g2^6*t^6.55)/g1 + g1*g2^8*t^6.55 + (g2^3*t^6.82)/g1^2 + g2^5*t^6.82 + g1^2*g2^7*t^6.82 + t^7.09/g1^3 + (2*g2^2*t^7.09)/g1 + 2*g1*g2^4*t^7.09 + g1^3*g2^6*t^7.09 + t^7.36/(g1^2*g2) + 2*g2*t^7.36 + g1^2*g2^3*t^7.36 + (g2^9*t^7.37)/g1^3 + (g2^11*t^7.37)/g1 + g1*g2^13*t^7.37 + g1^3*g2^15*t^7.37 + 2*g1*t^7.64 + t^7.64/(g1^3*g2^4) + (2*t^7.64)/(g1*g2^2) + g1^3*g2^2*t^7.64 + (2*t^7.91)/(g1^2*g2^5) + (2*t^7.91)/g2^3 + (2*g1^2*t^7.91)/g2 + (g2^5*t^7.91)/g1^3 + (g2^7*t^7.91)/g1 + g1*g2^9*t^7.91 + g1^3*g2^11*t^7.91 + t^8.18/(g1*g2^6) + (g1*t^8.18)/g2^4 + (g2^4*t^8.18)/g1^2 + g2^6*t^8.18 + g1^2*g2^8*t^8.18 + t^8.45/g2^7 - (2*g2^3*t^8.46)/g1 - 2*g1*g2^5*t^8.46 + t^8.73/g1^2 + g1^2*g2^4*t^8.73 - (g2*t^4.36)/y - (g2^4*t^6.82)/(g1*y) - (g1*g2^6*t^6.82)/y + t^7.91/(g1*g2^4*y) + (g1*t^7.91)/(g2^2*y) + (g2^8*t^7.91)/y + (g2^2*t^8.46)/(g1^2*y) + (2*g2^4*t^8.46)/y + (g1^2*g2^6*t^8.46)/y + (3*g2*t^8.73)/(g1*y) + (3*g1*g2^3*t^8.73)/y - g2*t^4.36*y - (g2^4*t^6.82*y)/g1 - g1*g2^6*t^6.82*y + (t^7.91*y)/(g1*g2^4) + (g1*t^7.91*y)/g2^2 + g2^8*t^7.91*y + (g2^2*t^8.46*y)/g1^2 + 2*g2^4*t^8.46*y + g1^2*g2^6*t^8.46*y + (3*g2*t^8.73*y)/g1 + 3*g1*g2^3*t^8.73*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 |
---|---|---|---|---|---|---|---|---|
46815 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_2^2$ | 0.6998 | 0.8569 | 0.8166 | [X:[], M:[0.885, 1.0, 1.0575, 0.9425, 1.0287], q:[0.5431, 0.5718], qb:[0.4569, 0.4856], phi:[0.4856]] | t^2.66 + t^2.83 + t^3. + 3*t^3.09 + t^3.17 + t^4.2 + t^4.28 + t^4.37 + t^4.46 + 2*t^4.54 + t^4.63 + t^4.72 + t^4.8 + t^4.89 + t^5.31 + t^5.48 + t^5.66 + t^5.74 + t^5.83 + t^5.91 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
48151 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_3M_6$ | 0.7195 | 0.8802 | 0.8175 | [X:[], M:[0.7937, 0.8444, 1.0253, 0.9747, 1.0905, 0.9747], q:[0.6357, 0.5706], qb:[0.5199, 0.4548], phi:[0.4548]] | t^2.38 + t^2.53 + 2*t^2.92 + 3*t^3.27 + t^4.09 + t^4.29 + t^4.44 + t^4.48 + 2*t^4.64 + t^4.76 + t^4.79 + t^4.83 + t^4.91 + t^4.98 + t^5.07 + t^5.18 + 2*t^5.31 + t^5.46 + t^5.65 + t^5.8 + 2*t^5.85 - 4*t^6. - t^4.36/y - t^4.36*y | detail | |
47191 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ \phi_1q_1\tilde{q}_1$ + $ M_2X_1$ | 0.6022 | 0.7272 | 0.8281 | [X:[1.6128], M:[0.7104, 0.3872, 0.8384, 1.1616, 1.2256], q:[0.8384, 0.4512], qb:[0.7744, 0.3872], phi:[0.3872]] | t^2.13 + t^2.52 + 2*t^3.48 + 4*t^3.68 + t^3.87 + t^4.26 + t^4.65 + t^4.84 + t^5.03 + 2*t^5.62 + 2*t^5.81 - 2*t^6. - t^4.16/y - t^4.16*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 |
---|---|---|---|---|---|---|---|---|---|
46233 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7271 | 0.893 | 0.8142 | [X:[], M:[0.7947, 0.7947, 1.0, 1.0], q:[0.654, 0.5513], qb:[0.5513, 0.4487], phi:[0.4487]] | 2*t^2.38 + t^2.69 + 2*t^3. + 2*t^3.31 + t^4.04 + 2*t^4.35 + 4*t^4.65 + 3*t^4.77 + 2*t^4.96 + 2*t^5.08 + t^5.27 + 4*t^5.38 + 2*t^5.69 - t^6. - t^4.35/y - t^4.35*y | detail |