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 |
---|---|---|---|---|---|---|---|---|---|
554 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6822 | 0.8481 | 0.8045 | [X:[], M:[0.6938, 1.1021, 1.1021, 0.6938], q:[0.7755, 0.5307], qb:[0.4693, 0.4286], phi:[0.449]] | [X:[], M:[[-12], [4], [4], [-12]], q:[[1], [11]], qb:[[-11], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_3$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_1M_2$, $ M_1M_3$, $ M_2M_4$, $ M_3M_4$, $ M_4q_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_1\tilde{q}_1$ | . | -2 | 2*t^2.08 + t^2.88 + t^3. + 2*t^3.31 + t^3.61 + t^3.73 + t^4.04 + 4*t^4.16 + t^4.22 + t^4.35 + t^4.53 + 2*t^4.96 + 2*t^5.08 + 4*t^5.39 + t^5.69 + t^5.76 + t^5.82 - 2*t^6. + t^6.12 + t^6.18 + 6*t^6.24 + 2*t^6.31 + t^6.43 + t^6.49 + 5*t^6.61 + t^6.92 + 4*t^7.04 + t^7.1 + 3*t^7.16 + t^7.35 + t^7.41 + 7*t^7.47 + t^7.53 + 2*t^7.78 + 3*t^7.84 + 2*t^7.9 - 4*t^8.08 + 2*t^8.2 + t^8.27 + 9*t^8.33 + 3*t^8.39 + 2*t^8.51 + t^8.57 + t^8.63 + 8*t^8.69 + t^8.76 - 2*t^8.88 - t^4.35/y - (2*t^6.43)/y + t^7.04/y + t^7.16/y - t^7.65/y + (2*t^7.96)/y + (2*t^8.08)/y + (2*t^8.27)/y + (4*t^8.39)/y - (3*t^8.51)/y + (2*t^8.69)/y + (2*t^8.82)/y + t^8.88/y - t^4.35*y - 2*t^6.43*y + t^7.04*y + t^7.16*y - t^7.65*y + 2*t^7.96*y + 2*t^8.08*y + 2*t^8.27*y + 4*t^8.39*y - 3*t^8.51*y + 2*t^8.69*y + 2*t^8.82*y + t^8.88*y | (2*t^2.08)/g1^12 + g1^18*t^2.88 + t^3. + 2*g1^4*t^3.31 + g1^8*t^3.61 + t^3.73/g1^10 + t^4.04/g1^6 + (4*t^4.16)/g1^24 + g1^16*t^4.22 + t^4.35/g1^2 + g1^20*t^4.53 + 2*g1^6*t^4.96 + (2*t^5.08)/g1^12 + (4*t^5.39)/g1^8 + t^5.69/g1^4 + g1^36*t^5.76 + t^5.82/g1^22 - 2*t^6. + t^6.12/g1^18 + g1^22*t^6.18 + (6*t^6.24)/g1^36 + 2*g1^4*t^6.31 + t^6.43/g1^14 + g1^26*t^6.49 + 5*g1^8*t^6.61 + g1^12*t^6.92 + (4*t^7.04)/g1^6 + g1^34*t^7.1 + (3*t^7.16)/g1^24 + t^7.35/g1^2 + g1^38*t^7.41 + (7*t^7.47)/g1^20 + g1^20*t^7.53 + (2*t^7.78)/g1^16 + 3*g1^24*t^7.84 + (2*t^7.9)/g1^34 - (4*t^8.08)/g1^12 + (2*t^8.2)/g1^30 + g1^10*t^8.27 + (9*t^8.33)/g1^48 + (3*t^8.39)/g1^8 + (2*t^8.51)/g1^26 + g1^14*t^8.57 + g1^54*t^8.63 + (8*t^8.69)/g1^4 + g1^36*t^8.76 - 2*g1^18*t^8.88 - t^4.35/(g1^2*y) - (2*t^6.43)/(g1^14*y) + t^7.04/(g1^6*y) + t^7.16/(g1^24*y) - (g1^2*t^7.65)/y + (2*g1^6*t^7.96)/y + (2*t^8.08)/(g1^12*y) + (2*g1^10*t^8.27)/y + (4*t^8.39)/(g1^8*y) - (3*t^8.51)/(g1^26*y) + (2*t^8.69)/(g1^4*y) + (2*t^8.82)/(g1^22*y) + (g1^18*t^8.88)/y - (t^4.35*y)/g1^2 - (2*t^6.43*y)/g1^14 + (t^7.04*y)/g1^6 + (t^7.16*y)/g1^24 - g1^2*t^7.65*y + 2*g1^6*t^7.96*y + (2*t^8.08*y)/g1^12 + 2*g1^10*t^8.27*y + (4*t^8.39*y)/g1^8 - (3*t^8.51*y)/g1^26 + (2*t^8.69*y)/g1^4 + (2*t^8.82*y)/g1^22 + g1^18*t^8.88*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 |
---|---|---|---|---|---|---|---|---|
1909 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.6992 | 0.8783 | 0.796 | [X:[], M:[0.6856, 1.1048, 1.1048, 0.6856, 0.7904], q:[0.7762, 0.5382], qb:[0.4618, 0.4334], phi:[0.4476]] | 2*t^2.06 + t^2.37 + t^2.91 + t^3. + 2*t^3.31 + t^3.71 + t^4.03 + 4*t^4.11 + t^4.26 + t^4.34 + 2*t^4.43 + t^4.57 + t^4.74 + 2*t^4.97 + 2*t^5.06 + t^5.29 + 5*t^5.37 + t^5.69 + t^5.77 + t^5.83 - 2*t^6. - t^4.34/y - t^4.34*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 |
---|---|---|---|---|---|---|---|---|---|
350 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1^2$ | 0.6616 | 0.8084 | 0.8184 | [X:[], M:[0.6974, 1.1009, 1.1009], q:[0.7752, 0.5274], qb:[0.4726, 0.4265], phi:[0.4496]] | t^2.09 + t^2.86 + t^3. + 2*t^3.3 + t^3.61 + t^3.74 + t^3.91 + t^4.05 + 2*t^4.18 + t^4.21 + t^4.35 + t^4.51 + t^4.95 + t^5.09 + 2*t^5.39 + t^5.72 - t^6. - t^4.35/y - t^4.35*y | detail |