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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4238 | 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$ + $ 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]] | [X:[[6]], M:[[-22], [14], [22], [-6], [-14], [12], [-14], [-32]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_8$, $ M_5$, $ M_7$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_6M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_8^2$, $ M_5M_6$, $ M_6M_7$, $ M_5M_8$, $ M_7M_8$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_8\phi_1^2$, $ M_3M_6$, $ M_1M_6$, $ M_3M_8$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_8$, $ 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_8q_1\tilde{q}_2$ | . | -2 | 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. + 3*t^6.11 + t^6.23 + t^6.34 + 3*t^6.45 + 3*t^6.57 + 4*t^6.68 + 3*t^6.79 + 3*t^6.91 + 5*t^7.02 + 5*t^7.13 + t^7.24 + 4*t^7.25 + 4*t^7.36 + 7*t^7.47 + 2*t^7.58 + 2*t^7.59 + 5*t^7.7 + t^7.81 + 5*t^7.92 + t^7.93 + 4*t^8.04 - t^8.15 + t^8.26 + 4*t^8.38 - 2*t^8.49 + 6*t^8.6 - t^8.72 + 6*t^8.83 + 5*t^8.94 - t^4.36/y - t^6.51/y - t^6.62/y - t^6.85/y - t^7.08/y + t^7.42/y + (3*t^7.64)/y + (2*t^7.76)/y + (2*t^7.87)/y + (2*t^7.98)/y + (2*t^8.09)/y + (5*t^8.21)/y + t^8.32/y + (2*t^8.43)/y + (2*t^8.55)/y + t^8.77/y - t^4.36*y - t^6.51*y - t^6.62*y - t^6.85*y - t^7.08*y + t^7.42*y + 3*t^7.64*y + 2*t^7.76*y + 2*t^7.87*y + 2*t^7.98*y + 2*t^8.09*y + 5*t^8.21*y + t^8.32*y + 2*t^8.43*y + 2*t^8.55*y + t^8.77*y | g1^12*t^2.15 + t^2.26/g1^32 + (2*t^2.49)/g1^14 + g1^4*t^2.72 + g1^22*t^2.94 + t^3.06/g1^22 + t^3.62/g1^30 + t^3.96/g1^56 + g1^6*t^4.08 + 2*g1^24*t^4.3 + (2*t^4.42)/g1^20 + t^4.53/g1^64 + (2*t^4.64)/g1^2 + (2*t^4.76)/g1^46 + 2*g1^16*t^4.87 + (4*t^4.98)/g1^28 + g1^34*t^5.09 + (4*t^5.21)/g1^10 + t^5.32/g1^54 + 2*g1^8*t^5.43 + t^5.55/g1^36 + g1^26*t^5.66 + (2*t^5.77)/g1^18 + t^5.89/g1^62 - 2*t^6. + (3*t^6.11)/g1^44 + t^6.23/g1^88 + t^6.34/g1^26 + (2*t^6.45)/g1^70 + g1^36*t^6.45 + (3*t^6.57)/g1^8 + (4*t^6.68)/g1^52 + t^6.79/g1^96 + 2*g1^10*t^6.79 + (3*t^6.91)/g1^34 + (3*t^7.02)/g1^78 + 2*g1^28*t^7.02 + (5*t^7.13)/g1^16 + g1^46*t^7.24 + (4*t^7.25)/g1^60 + 4*g1^2*t^7.36 + (7*t^7.47)/g1^42 + 2*g1^20*t^7.58 + (2*t^7.59)/g1^86 + (5*t^7.7)/g1^24 + t^7.81/g1^68 + (5*t^7.92)/g1^6 + t^7.93/g1^112 + (4*t^8.04)/g1^50 + t^8.15/g1^94 - 2*g1^12*t^8.15 + t^8.26/g1^32 + (4*t^8.38)/g1^76 + t^8.49/g1^120 - (3*t^8.49)/g1^14 + (5*t^8.6)/g1^58 + g1^48*t^8.6 + (2*t^8.72)/g1^102 - 3*g1^4*t^8.72 + (6*t^8.83)/g1^40 + (7*t^8.94)/g1^84 - 2*g1^22*t^8.94 - (g1^2*t^4.36)/y - (g1^14*t^6.51)/y - t^6.62/(g1^30*y) - t^6.85/(g1^12*y) - (g1^6*t^7.08)/y + t^7.42/(g1^20*y) + (3*t^7.64)/(g1^2*y) + (2*t^7.76)/(g1^46*y) + (2*g1^16*t^7.87)/y + (2*t^7.98)/(g1^28*y) + (2*g1^34*t^8.09)/y + (5*t^8.21)/(g1^10*y) + t^8.32/(g1^54*y) + (2*g1^8*t^8.43)/y + (2*t^8.55)/(g1^36*y) + t^8.77/(g1^18*y) - g1^2*t^4.36*y - g1^14*t^6.51*y - (t^6.62*y)/g1^30 - (t^6.85*y)/g1^12 - g1^6*t^7.08*y + (t^7.42*y)/g1^20 + (3*t^7.64*y)/g1^2 + (2*t^7.76*y)/g1^46 + 2*g1^16*t^7.87*y + (2*t^7.98*y)/g1^28 + 2*g1^34*t^8.09*y + (5*t^8.21*y)/g1^10 + (t^8.32*y)/g1^54 + 2*g1^8*t^8.43*y + (2*t^8.55*y)/g1^36 + (t^8.77*y)/g1^18 |
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 |
---|---|---|---|---|---|---|---|---|
5727 | $\phi_1q_1^2$ + $ 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$ + $ M_9\phi_1\tilde{q}_2^2$ | 0.7196 | 0.9248 | 0.7781 | [X:[1.3579], M:[1.0209, 1.1685, 0.9791, 0.6421, 0.8315, 0.7159, 0.8315, 0.7577, 0.6741], q:[0.7737, 0.3948], qb:[0.5843, 0.4366], phi:[0.4526]] | t^2.02 + t^2.15 + t^2.27 + 2*t^2.49 + t^2.72 + t^2.94 + t^3.06 + t^3.63 + t^4.04 + t^4.07 + t^4.17 + 3*t^4.3 + 2*t^4.42 + 2*t^4.52 + t^4.55 + 2*t^4.64 + t^4.74 + 2*t^4.77 + 2*t^4.86 + t^4.96 + 4*t^4.99 + 2*t^5.08 + 4*t^5.21 + t^5.34 + 2*t^5.43 + t^5.56 + 2*t^5.65 + 2*t^5.78 + t^5.9 - 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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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. - t^4.35/y - t^4.35*y | detail |