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 |
---|---|---|---|---|---|---|---|---|---|
563 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ | 0.5887 | 0.7456 | 0.7895 | [X:[], M:[0.9784, 1.0648, 0.7446, 1.2554], q:[0.7446, 0.277], qb:[0.4676, 0.4676], phi:[0.5108]] | [X:[], M:[[4], [-12], [1], [-1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ q_2\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1^2$, $ M_3q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_3M_4$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -1 | 2*t^2.23 + t^2.94 + t^3.06 + 2*t^3.19 + 2*t^3.64 + 2*t^3.77 + 3*t^4.34 + 3*t^4.47 + 2*t^5.17 + 2*t^5.3 + 2*t^5.43 + 4*t^5.87 - t^6. + t^6.13 + 2*t^6.26 + 3*t^6.39 + 4*t^6.57 + 4*t^6.7 + 2*t^6.83 + 2*t^6.96 + 3*t^7.27 + 5*t^7.4 + 4*t^7.53 + 2*t^7.66 + 4*t^7.97 + 6*t^8.1 - 4*t^8.23 + 2*t^8.49 + 2*t^8.62 + 5*t^8.68 + 5*t^8.81 - t^4.53/y + t^7.34/y + t^7.47/y - t^7.73/y + (2*t^8.17)/y + (2*t^8.3)/y + (4*t^8.43)/y + (4*t^8.87)/y - t^4.53*y + t^7.34*y + t^7.47*y - t^7.73*y + 2*t^8.17*y + 2*t^8.3*y + 4*t^8.43*y + 4*t^8.87*y | 2*g1*t^2.23 + g1^4*t^2.94 + t^3.06/g1^4 + (2*t^3.19)/g1^12 + 2*g1^7*t^3.64 + (2*t^3.77)/g1 + 3*g1^10*t^4.34 + 3*g1^2*t^4.47 + 2*g1^5*t^5.17 + (2*t^5.3)/g1^3 + (2*t^5.43)/g1^11 + 4*g1^8*t^5.87 - t^6. + t^6.13/g1^8 + (2*t^6.26)/g1^16 + (3*t^6.39)/g1^24 + 4*g1^11*t^6.57 + 4*g1^3*t^6.7 + (2*t^6.83)/g1^5 + (2*t^6.96)/g1^13 + 3*g1^14*t^7.27 + 5*g1^6*t^7.4 + (4*t^7.53)/g1^2 + (2*t^7.66)/g1^10 + 4*g1^17*t^7.97 + 6*g1^9*t^8.1 - 4*g1*t^8.23 + (2*t^8.49)/g1^15 + (2*t^8.62)/g1^23 + 5*g1^20*t^8.68 + 5*g1^12*t^8.81 - t^4.53/(g1^2*y) + (g1^10*t^7.34)/y + (g1^2*t^7.47)/y - t^7.73/(g1^14*y) + (2*g1^5*t^8.17)/y + (2*t^8.3)/(g1^3*y) + (4*t^8.43)/(g1^11*y) + (4*g1^8*t^8.87)/y - (t^4.53*y)/g1^2 + g1^10*t^7.34*y + g1^2*t^7.47*y - (t^7.73*y)/g1^14 + 2*g1^5*t^8.17*y + (2*t^8.3*y)/g1^3 + (4*t^8.43*y)/g1^11 + 4*g1^8*t^8.87*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 |
---|---|---|---|---|---|---|---|---|
1902 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_1$ | 0.6063 | 0.7771 | 0.7802 | [X:[], M:[0.986, 1.0421, 0.7465, 1.2535, 0.7745], q:[0.7465, 0.2675], qb:[0.479, 0.479], phi:[0.507]] | 2*t^2.24 + t^2.32 + t^2.96 + t^3.04 + 2*t^3.13 + t^3.68 + 2*t^3.76 + 3*t^4.39 + 3*t^4.48 + 2*t^4.56 + t^4.65 + 2*t^5.2 + 3*t^5.28 + 3*t^5.37 + 2*t^5.45 + 2*t^5.92 - t^4.52/y - t^4.52*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 |
---|---|---|---|---|---|---|---|---|---|
355 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ | 0.608 | 0.7809 | 0.7786 | [X:[], M:[0.9776, 1.0673, 0.7444], q:[0.7444, 0.2781], qb:[0.4663, 0.4663], phi:[0.5112]] | 3*t^2.23 + t^2.93 + t^3.07 + 2*t^3.2 + 2*t^3.63 + t^3.77 + 3*t^4.33 + 6*t^4.47 + 3*t^5.17 + 3*t^5.3 + 4*t^5.44 + 6*t^5.87 - 2*t^6. - t^4.53/y - t^4.53*y | detail |