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 |
---|---|---|---|---|---|---|---|---|---|
55152 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_1q_2$ | 0.5868 | 0.7236 | 0.811 | [X:[1.4057], M:[1.1886, 0.9905, 0.8114, 0.5943, 1.0095, 0.7924], q:[0.2971, 0.5143], qb:[0.7124, 0.8914], phi:[0.3962]] | [X:[[6]], M:[[-12], [-10], [12], [-6], [10], [-8]], q:[[-3], [15]], qb:[[13], [-9]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ \phi_1^2$, $ M_3$, $ M_2$, $ M_5$, $ M_1$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ \phi_1q_2^2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_6$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_5M_6$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_5$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_1M_6$, $ M_1\phi_1^2$ | . | -1 | 2*t^2.38 + t^2.43 + t^2.97 + t^3.03 + t^3.57 + t^3.68 + t^4.22 + t^4.27 + 3*t^4.75 + 3*t^4.81 + t^4.87 + t^5.35 + 2*t^5.41 + t^5.46 + 2*t^5.94 - t^6. + 2*t^6.06 + t^6.11 + 2*t^6.65 + 2*t^6.71 + 4*t^7.13 + 3*t^7.19 + 2*t^7.25 + t^7.3 + t^7.36 + t^7.73 + 2*t^7.78 + t^7.84 + t^7.9 + t^7.95 + 2*t^8.32 - 3*t^8.38 + 3*t^8.49 + 2*t^8.55 - 2*t^8.97 - t^4.19/y - (2*t^6.57)/y + t^7.75/y + (4*t^7.81)/y + (2*t^8.35)/y + (3*t^8.41)/y + t^8.46/y - t^8.94/y - t^4.19*y - 2*t^6.57*y + t^7.75*y + 4*t^7.81*y + 2*t^8.35*y + 3*t^8.41*y + t^8.46*y - t^8.94*y | (2*t^2.38)/g1^8 + g1^12*t^2.43 + t^2.97/g1^10 + g1^10*t^3.03 + t^3.57/g1^12 + g1^28*t^3.68 + g1^6*t^4.22 + g1^26*t^4.27 + (3*t^4.75)/g1^16 + 3*g1^4*t^4.81 + g1^24*t^4.87 + t^5.35/g1^18 + 2*g1^2*t^5.41 + g1^22*t^5.46 + (2*t^5.94)/g1^20 - t^6. + 2*g1^20*t^6.06 + g1^40*t^6.11 + 2*g1^18*t^6.65 + 2*g1^38*t^6.71 + (4*t^7.13)/g1^24 + (3*t^7.19)/g1^4 + 2*g1^16*t^7.25 + g1^36*t^7.3 + g1^56*t^7.36 + t^7.73/g1^26 + (2*t^7.78)/g1^6 + g1^14*t^7.84 + g1^34*t^7.9 + g1^54*t^7.95 + (2*t^8.32)/g1^28 - (3*t^8.38)/g1^8 + 3*g1^32*t^8.49 + 2*g1^52*t^8.55 - (2*t^8.97)/g1^10 - t^4.19/(g1^4*y) - (2*t^6.57)/(g1^12*y) + t^7.75/(g1^16*y) + (4*g1^4*t^7.81)/y + (2*t^8.35)/(g1^18*y) + (3*g1^2*t^8.41)/y + (g1^22*t^8.46)/y - t^8.94/(g1^20*y) - (t^4.19*y)/g1^4 - (2*t^6.57*y)/g1^12 + (t^7.75*y)/g1^16 + 4*g1^4*t^7.81*y + (2*t^8.35*y)/g1^18 + 3*g1^2*t^8.41*y + g1^22*t^8.46*y - (t^8.94*y)/g1^20 |
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 |
---|---|---|---|---|---|---|---|---|
56789 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_1q_2$ + $ M_1M_7$ | 0.603 | 0.7532 | 0.8006 | [X:[1.3992], M:[1.2015, 1.0013, 0.7985, 0.6008, 0.9987, 0.801, 0.7985], q:[0.3004, 0.4981], qb:[0.6984, 0.9011], phi:[0.4005]] | 4*t^2.4 + 2*t^3. + t^3.59 + t^4.19 + t^4.2 + 3*t^4.79 + 5*t^4.8 + 3*t^4.81 + 2*t^5.39 + 3*t^5.4 + t^5.41 + 2*t^5.98 + 2*t^5.99 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
56788 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_1q_2$ + $ M_5M_7$ | 0.5884 | 0.7256 | 0.8109 | [X:[1.4144], M:[1.1712, 0.976, 0.8288, 0.5856, 1.024, 0.7808, 0.976], q:[0.2928, 0.536], qb:[0.7312, 0.8784], phi:[0.3904]] | 2*t^2.34 + t^2.49 + 2*t^2.93 + t^3.51 + t^3.8 + t^4.24 + t^4.39 + 3*t^4.68 + 3*t^4.83 + t^4.97 + 3*t^5.27 + t^5.41 + 4*t^5.86 - 2*t^6. - t^4.17/y - t^4.17*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 |
---|---|---|---|---|---|---|---|---|---|
46915 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_1^2$ + $ M_2M_5$ + $ M_4X_1$ | 0.57 | 0.6947 | 0.8205 | [X:[1.4014], M:[1.1972, 0.9977, 0.8028, 0.5986, 1.0023], q:[0.2993, 0.5035], qb:[0.703, 0.8979], phi:[0.3991]] | t^2.39 + t^2.41 + t^2.99 + t^3.01 + t^3.59 + t^3.61 + t^3.62 + t^4.2 + t^4.22 + t^4.79 + 2*t^4.8 + t^4.82 + t^5.4 + t^5.42 + t^5.99 - t^4.2/y - t^4.2*y | detail |