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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442 | 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_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ | 0.6307 | 0.7795 | 0.809 | [X:[], M:[0.809, 0.779, 1.191, 0.824], q:[0.8015, 0.8015], qb:[0.3895, 0.4195], phi:[0.397]] | [X:[], M:[[6], [-14], [-6], [16]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_2$, $ \phi_1^2$, $ M_1$, $ M_4$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_4$, $ M_1\phi_1^2$, $ q_1q_2$, $ M_1^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_4^2$, $ M_2M_3$, $ M_2q_1\tilde{q}_1$, $ M_3\phi_1^2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ | $M_2q_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | 1 | t^2.34 + t^2.38 + t^2.43 + t^2.47 + 2*t^3.57 + t^3.62 + t^3.66 + t^3.71 + t^4.67 + t^4.72 + 2*t^4.76 + 3*t^4.81 + 2*t^4.85 + t^4.9 + t^4.94 + t^5.91 + t^5.96 + t^6. + 3*t^6.04 + 2*t^6.09 + 2*t^6.13 + t^6.18 + t^7.01 + t^7.06 + t^7.1 + 4*t^7.15 + 2*t^7.19 + 2*t^7.24 + 4*t^7.28 + 3*t^7.33 + 2*t^7.37 + 2*t^7.42 + t^8.25 - t^8.34 + t^8.38 + t^8.47 + 4*t^8.52 + 3*t^8.56 + 2*t^8.61 + t^8.65 - t^4.19/y - t^6.53/y - t^6.57/y - t^6.66/y + (2*t^7.72)/y + t^7.76/y + (3*t^7.81)/y + (2*t^7.85)/y + t^7.9/y - t^8.87/y + t^8.91/y + (2*t^8.96)/y - t^4.19*y - t^6.53*y - t^6.57*y - t^6.66*y + 2*t^7.72*y + t^7.76*y + 3*t^7.81*y + 2*t^7.85*y + t^7.9*y - t^8.87*y + t^8.91*y + 2*t^8.96*y | t^2.34/g1^14 + t^2.38/g1^4 + g1^6*t^2.43 + g1^16*t^2.47 + (2*t^3.57)/g1^6 + g1^4*t^3.62 + g1^14*t^3.66 + g1^24*t^3.71 + t^4.67/g1^28 + t^4.72/g1^18 + (2*t^4.76)/g1^8 + 3*g1^2*t^4.81 + 2*g1^12*t^4.85 + g1^22*t^4.9 + g1^32*t^4.94 + t^5.91/g1^20 + t^5.96/g1^10 + t^6. + 3*g1^10*t^6.04 + 2*g1^20*t^6.09 + 2*g1^30*t^6.13 + g1^40*t^6.18 + t^7.01/g1^42 + t^7.06/g1^32 + t^7.1/g1^22 + (4*t^7.15)/g1^12 + (2*t^7.19)/g1^2 + 2*g1^8*t^7.24 + 4*g1^18*t^7.28 + 3*g1^28*t^7.33 + 2*g1^38*t^7.37 + 2*g1^48*t^7.42 + t^8.25/g1^34 - t^8.34/g1^14 + t^8.38/g1^4 + g1^16*t^8.47 + 4*g1^26*t^8.52 + 3*g1^36*t^8.56 + 2*g1^46*t^8.61 + g1^56*t^8.65 - t^4.19/(g1^2*y) - t^6.53/(g1^16*y) - t^6.57/(g1^6*y) - (g1^14*t^6.66)/y + (2*t^7.72)/(g1^18*y) + t^7.76/(g1^8*y) + (3*g1^2*t^7.81)/y + (2*g1^12*t^7.85)/y + (g1^22*t^7.9)/y - t^8.87/(g1^30*y) + t^8.91/(g1^20*y) + (2*t^8.96)/(g1^10*y) - (t^4.19*y)/g1^2 - (t^6.53*y)/g1^16 - (t^6.57*y)/g1^6 - g1^14*t^6.66*y + (2*t^7.72*y)/g1^18 + (t^7.76*y)/g1^8 + 3*g1^2*t^7.81*y + 2*g1^12*t^7.85*y + g1^22*t^7.9*y - (t^8.87*y)/g1^30 + (t^8.91*y)/g1^20 + (2*t^8.96*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
742 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6476 | 0.8091 | 0.8003 | [X:[], M:[0.8113, 0.7736, 1.1887, 0.8301, 0.7925], q:[0.8019, 0.8019], qb:[0.3868, 0.4245], phi:[0.3962]] | t^2.32 + 2*t^2.38 + t^2.43 + t^2.49 + 2*t^3.57 + t^3.68 + t^3.74 + t^4.64 + 2*t^4.7 + 4*t^4.75 + 4*t^4.81 + 3*t^4.87 + t^4.92 + t^4.98 + t^5.89 + 2*t^5.94 - t^4.19/y - t^4.19*y | detail | |
743 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6499 | 0.8145 | 0.7979 | [X:[], M:[0.8171, 0.7602, 1.1829, 0.8455, 0.7318], q:[0.8028, 0.8028], qb:[0.3801, 0.437], phi:[0.3943]] | t^2.2 + t^2.28 + t^2.37 + t^2.45 + t^2.54 + 2*t^3.55 + t^3.63 + t^3.72 + t^4.39 + t^4.48 + 2*t^4.56 + 2*t^4.65 + 3*t^4.73 + 3*t^4.82 + 2*t^4.9 + t^4.99 + t^5.07 + 2*t^5.74 + 2*t^5.83 + 2*t^5.91 + t^6. - t^4.18/y - t^4.18*y | detail | |
741 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1^2$ | 0.6139 | 0.7503 | 0.8182 | [X:[], M:[0.8066, 0.7845, 1.1934, 0.8177, 1.2044], q:[0.8011, 0.8011], qb:[0.3923, 0.4144], phi:[0.3978]] | t^2.35 + t^2.42 + t^2.45 + 2*t^3.58 + 2*t^3.61 + t^3.65 + t^3.68 + t^4.71 + t^4.77 + 2*t^4.81 + t^4.84 + t^4.87 + t^4.91 + t^5.93 - t^4.19/y - t^4.19*y | detail | |
1849 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.6488 | 0.8116 | 0.7994 | [X:[], M:[0.8156, 0.7636, 1.1844, 0.8416, 0.7636], q:[0.8026, 0.8026], qb:[0.3818, 0.4338], phi:[0.3948]] | 2*t^2.29 + t^2.37 + t^2.45 + t^2.52 + 2*t^3.55 + t^3.63 + t^3.79 + 3*t^4.58 + 2*t^4.66 + 3*t^4.74 + 4*t^4.82 + 2*t^4.89 + t^4.97 + t^5.05 + 3*t^5.84 + 2*t^5.92 - t^4.18/y - t^4.18*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 |
---|---|---|---|---|---|---|---|---|---|
270 | 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_4\phi_1\tilde{q}_1^2$ | 0.6973 | 0.8533 | 0.8172 | [X:[], M:[1.0, 0.912, 1.0, 0.672], q:[0.792, 0.544], qb:[0.456, 0.544], phi:[0.416]] | t^2.02 + t^2.5 + t^2.74 + 2*t^3. + t^3.74 + 2*t^4.01 + t^4.03 + 2*t^4.25 + 4*t^4.51 + t^4.75 + t^4.99 + 2*t^5.02 + t^5.23 + t^5.47 + 2*t^5.5 + t^5.76 - 2*t^6. - t^4.25/y - t^4.25*y | detail |