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 |
---|---|---|---|---|---|---|---|---|---|
2242 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_2M_7$ | 0.6803 | 0.8497 | 0.8007 | [X:[1.3548], M:[1.0325, 1.1611, 0.9675, 0.6452, 0.8389, 0.7096, 0.8389], q:[0.7742, 0.3869], qb:[0.5806, 0.4519], phi:[0.4516]] | [X:[[6]], M:[[-22], [14], [22], [-6], [-14], [12], [-14]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_5$, $ M_7$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ X_1$, $ \phi_1\tilde{q}_2^2$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_6M_7$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_3M_6$, $ M_1M_6$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_3M_5$, $ M_3M_7$, $ \phi_1^4$, $ M_1M_5$, $ M_1M_7$, $ M_3\phi_1^2$, $ M_1\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_3^2$, $ M_6\phi_1q_2^2$ | . | -2 | t^2.13 + 2*t^2.52 + t^2.71 + t^2.9 + t^3.1 + 2*t^3.68 + t^4.06 + t^4.07 + 2*t^4.26 + t^4.45 + 2*t^4.65 + 2*t^4.84 + 4*t^5.03 + 3*t^5.23 + 2*t^5.42 + 2*t^5.61 + 3*t^5.81 - 2*t^6. + 5*t^6.19 + 2*t^6.39 + 4*t^6.58 + 3*t^6.77 + 2*t^6.78 + 3*t^6.97 + 5*t^7.16 + 5*t^7.35 + 5*t^7.55 + 6*t^7.74 + 2*t^7.93 + 4*t^7.94 + 2*t^8.13 + 5*t^8.32 + 3*t^8.51 - 2*t^8.52 + 4*t^8.71 + 4*t^8.9 - t^4.35/y - t^6.48/y - t^6.87/y - t^7.06/y + (3*t^7.65)/y + (2*t^7.84)/y + (2*t^8.03)/y + (4*t^8.23)/y + (2*t^8.42)/y + (2*t^8.61)/y + (3*t^8.81)/y - t^4.35*y - t^6.48*y - t^6.87*y - t^7.06*y + 3*t^7.65*y + 2*t^7.84*y + 2*t^8.03*y + 4*t^8.23*y + 2*t^8.42*y + 2*t^8.61*y + 3*t^8.81*y | g1^12*t^2.13 + (2*t^2.52)/g1^14 + g1^4*t^2.71 + g1^22*t^2.9 + t^3.1/g1^22 + t^3.68/g1^30 + g1^32*t^3.68 + g1^6*t^4.06 + t^4.07/g1^56 + 2*g1^24*t^4.26 + t^4.45/g1^20 + (2*t^4.65)/g1^2 + 2*g1^16*t^4.84 + (3*t^5.03)/g1^28 + g1^34*t^5.03 + (3*t^5.23)/g1^10 + 2*g1^8*t^5.42 + t^5.61/g1^36 + g1^26*t^5.61 + (2*t^5.81)/g1^18 + g1^44*t^5.81 - 2*t^6. + (3*t^6.19)/g1^44 + 2*g1^18*t^6.19 + 2*g1^36*t^6.39 + (2*t^6.58)/g1^70 + t^6.58/g1^8 + g1^54*t^6.58 + 3*g1^10*t^6.77 + (2*t^6.78)/g1^52 + t^6.97/g1^34 + 2*g1^28*t^6.97 + t^7.16/g1^78 + (3*t^7.16)/g1^16 + g1^46*t^7.16 + 4*g1^2*t^7.35 + g1^64*t^7.35 + (3*t^7.55)/g1^42 + 2*g1^20*t^7.55 + t^7.74/g1^86 + (4*t^7.74)/g1^24 + g1^38*t^7.74 + 2*g1^56*t^7.93 + (4*t^7.94)/g1^6 + t^8.13/g1^112 + (2*t^8.13)/g1^50 - g1^12*t^8.13 + (3*t^8.32)/g1^32 + 2*g1^30*t^8.32 + 3*g1^48*t^8.51 + t^8.52/g1^76 - (3*t^8.52)/g1^14 + (4*t^8.71)/g1^58 - g1^4*t^8.71 + g1^66*t^8.71 + (3*t^8.9)/g1^40 + g1^22*t^8.9 - (g1^2*t^4.35)/y - (g1^14*t^6.48)/y - t^6.87/(g1^12*y) - (g1^6*t^7.06)/y + (3*t^7.65)/(g1^2*y) + (2*g1^16*t^7.84)/y + t^8.03/(g1^28*y) + (g1^34*t^8.03)/y + (4*t^8.23)/(g1^10*y) + (2*g1^8*t^8.42)/y + (2*t^8.61)/(g1^36*y) + (2*t^8.81)/(g1^18*y) + (g1^44*t^8.81)/y - g1^2*t^4.35*y - g1^14*t^6.48*y - (t^6.87*y)/g1^12 - g1^6*t^7.06*y + (3*t^7.65*y)/g1^2 + 2*g1^16*t^7.84*y + (t^8.03*y)/g1^28 + g1^34*t^8.03*y + (4*t^8.23*y)/g1^10 + 2*g1^8*t^8.42*y + (2*t^8.61*y)/g1^36 + (2*t^8.81*y)/g1^18 + g1^44*t^8.81*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 |
---|---|---|---|---|---|---|---|---|
4238 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_2M_7$ + $ M_8\phi_1q_2^2$ | 0.6988 | 0.8839 | 0.7906 | [X:[1.3585], M:[1.019, 1.1697, 0.981, 0.6415, 0.8303, 0.7169, 0.8303, 0.7549], q:[0.7736, 0.3961], qb:[0.5849, 0.4341], phi:[0.4528]] | t^2.15 + t^2.26 + 2*t^2.49 + t^2.72 + t^2.94 + t^3.06 + t^3.62 + t^3.96 + t^4.08 + 2*t^4.3 + 2*t^4.42 + t^4.53 + 2*t^4.64 + 2*t^4.76 + 2*t^4.87 + 4*t^4.98 + t^5.09 + 4*t^5.21 + t^5.32 + 2*t^5.43 + t^5.55 + t^5.66 + 2*t^5.77 + t^5.89 - 2*t^6. - t^4.36/y - t^4.36*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 |
---|---|---|---|---|---|---|---|---|---|
1200 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6666 | 0.826 | 0.8071 | [X:[1.352], M:[1.0427, 1.1546, 0.9573, 0.648, 0.8454, 0.704], q:[0.7747, 0.3799], qb:[0.5773, 0.4654], phi:[0.4507]] | t^2.11 + t^2.54 + t^2.7 + t^2.87 + t^3.13 + t^3.46 + t^3.63 + t^3.72 + t^4.06 + t^4.14 + 2*t^4.22 + t^4.48 + t^4.65 + 2*t^4.82 + t^4.98 + t^5.07 + 2*t^5.24 + t^5.41 + 2*t^5.58 + t^5.74 + 2*t^5.83 - t^6. - t^4.35/y - t^4.35*y | detail |