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 |
---|---|---|---|---|---|---|---|---|---|
1138 | 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_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ | 0.6746 | 0.8426 | 0.8006 | [X:[], M:[0.9803, 1.083, 1.1463, 0.8537, 0.6878, 0.8537], q:[0.7707, 0.5415], qb:[0.4782, 0.3755], phi:[0.4585]] | [X:[], M:[[13], [-4], [5], [-5], [3], [-5]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ M_5M_6$, $ \phi_1q_2^2$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_2M_5$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_1M_6$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_2M_6$, $ M_5q_1\tilde{q}_1$, $ M_1^2$ | $M_5q_1q_2$ | -1 | t^2.06 + 2*t^2.56 + t^2.75 + t^2.94 + t^3.25 + t^3.63 + t^3.75 + t^3.94 + 2*t^4.13 + t^4.24 + t^4.43 + 3*t^4.62 + t^4.81 + t^5. + 3*t^5.12 + 3*t^5.31 + 2*t^5.5 + t^5.69 + 2*t^5.81 + t^5.88 - t^6. + 3*t^6.19 + 2*t^6.31 + t^6.38 + 2*t^6.5 + t^6.57 + 4*t^6.69 + 2*t^6.81 + t^6.88 + 3*t^7. + t^7.07 + 4*t^7.19 + t^7.26 + 3*t^7.38 + t^7.49 + 2*t^7.57 + 3*t^7.68 + 2*t^7.76 + 4*t^7.87 + t^7.94 + t^7.99 + t^8.06 + t^8.18 + 4*t^8.25 + 3*t^8.37 + 2*t^8.44 + t^8.49 - 3*t^8.56 + t^8.63 + t^8.68 + 3*t^8.75 + t^8.82 + 4*t^8.87 - t^8.94 - t^4.38/y - t^6.44/y - t^6.94/y - t^7.32/y + t^7.43/y + (2*t^7.62)/y + (2*t^7.81)/y + t^8./y + t^8.12/y + (4*t^8.31)/y + t^8.5/y + (2*t^8.69)/y + (3*t^8.81)/y - t^4.38*y - t^6.44*y - t^6.94*y - t^7.32*y + t^7.43*y + 2*t^7.62*y + 2*t^7.81*y + t^8.*y + t^8.12*y + 4*t^8.31*y + t^8.5*y + 2*t^8.69*y + 3*t^8.81*y | g1^3*t^2.06 + (2*t^2.56)/g1^5 + g1^4*t^2.75 + g1^13*t^2.94 + t^3.25/g1^4 + g1^14*t^3.63 + t^3.75/g1^12 + t^3.94/g1^3 + 2*g1^6*t^4.13 + t^4.24/g1^20 + t^4.43/g1^11 + (3*t^4.62)/g1^2 + g1^7*t^4.81 + g1^16*t^5. + (3*t^5.12)/g1^10 + (3*t^5.31)/g1 + 2*g1^8*t^5.5 + g1^17*t^5.69 + (2*t^5.81)/g1^9 + g1^26*t^5.88 - t^6. + 3*g1^9*t^6.19 + (2*t^6.31)/g1^17 + g1^18*t^6.38 + (2*t^6.5)/g1^8 + g1^27*t^6.57 + 4*g1*t^6.69 + (2*t^6.81)/g1^25 + g1^10*t^6.88 + (3*t^7.)/g1^16 + g1^19*t^7.07 + (4*t^7.19)/g1^7 + g1^28*t^7.26 + 3*g1^2*t^7.38 + t^7.49/g1^24 + 2*g1^11*t^7.57 + (3*t^7.68)/g1^15 + 2*g1^20*t^7.76 + (4*t^7.87)/g1^6 + g1^29*t^7.94 + t^7.99/g1^32 + g1^3*t^8.06 + t^8.18/g1^23 + 4*g1^12*t^8.25 + (3*t^8.37)/g1^14 + 2*g1^21*t^8.44 + t^8.49/g1^40 - (3*t^8.56)/g1^5 + g1^30*t^8.63 + t^8.68/g1^31 + 3*g1^4*t^8.75 + g1^39*t^8.82 + (4*t^8.87)/g1^22 - g1^13*t^8.94 - (g1^2*t^4.38)/y - (g1^5*t^6.44)/y - t^6.94/(g1^3*y) - (g1^15*t^7.32)/y + t^7.43/(g1^11*y) + (2*t^7.62)/(g1^2*y) + (2*g1^7*t^7.81)/y + (g1^16*t^8.)/y + t^8.12/(g1^10*y) + (4*t^8.31)/(g1*y) + (g1^8*t^8.5)/y + (2*g1^17*t^8.69)/y + (3*t^8.81)/(g1^9*y) - g1^2*t^4.38*y - g1^5*t^6.44*y - (t^6.94*y)/g1^3 - g1^15*t^7.32*y + (t^7.43*y)/g1^11 + (2*t^7.62*y)/g1^2 + 2*g1^7*t^7.81*y + g1^16*t^8.*y + (t^8.12*y)/g1^10 + (4*t^8.31*y)/g1 + g1^8*t^8.5*y + 2*g1^17*t^8.69*y + (3*t^8.81*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
2199 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ + $ M_7q_1q_2$ | 0.6953 | 0.8828 | 0.7876 | [X:[], M:[0.9789, 1.0834, 1.1457, 0.8543, 0.6874, 0.8543, 0.6874], q:[0.7709, 0.5417], qb:[0.4794, 0.3749], phi:[0.4583]] | 2*t^2.06 + 2*t^2.56 + t^2.75 + t^2.94 + t^3.25 + t^3.62 + t^3.75 + 4*t^4.12 + t^4.25 + t^4.44 + 5*t^4.63 + 2*t^4.81 + 2*t^5. + 3*t^5.13 + 4*t^5.31 + 2*t^5.5 + 2*t^5.69 + 3*t^5.81 + t^5.87 - 2*t^6. - t^4.37/y - t^4.37*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 |
---|---|---|---|---|---|---|---|---|---|
700 | 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_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.662 | 0.821 | 0.8063 | [X:[], M:[0.9647, 1.0878, 1.1403, 0.8597, 0.6842], q:[0.7719, 0.5439], qb:[0.4914, 0.3683], phi:[0.4561]] | t^2.05 + t^2.58 + t^2.74 + t^2.89 + t^3.26 + t^3.42 + t^3.58 + t^3.79 + t^3.95 + 2*t^4.1 + t^4.32 + t^4.47 + 2*t^4.63 + t^4.79 + t^4.95 + t^5.16 + 2*t^5.32 + 2*t^5.47 + t^5.63 + t^5.79 + t^5.84 - t^4.37/y - t^4.37*y | detail |