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 |
---|---|---|---|---|---|---|---|---|---|
2840 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2M_5$ | 0.6544 | 0.8219 | 0.7962 | [X:[], M:[0.7069, 0.8399, 0.7069, 0.8399, 1.1601], q:[0.8732, 0.42], qb:[0.42, 0.7401], phi:[0.3867]] | [X:[], M:[[14], [-6], [14], [-6], [6]], q:[[-11], [-3]], qb:[[-3], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_3$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_1M_2$, $ M_2M_3$, $ M_1M_4$, $ M_3M_4$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_3\phi_1q_2^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_3\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2^2$, $ \phi_1^3q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$ | 0 | 2*t^2.12 + t^2.32 + 2*t^2.52 + t^3.48 + 3*t^3.68 + 3*t^4.24 + 2*t^4.44 + 5*t^4.64 + 3*t^4.84 + 3*t^5.04 + 2*t^5.6 + 5*t^5.8 + 4*t^6.2 + 4*t^6.36 + 3*t^6.56 + 8*t^6.76 + 6*t^6.96 + 6*t^7.16 + 4*t^7.36 + 2*t^7.56 + 3*t^7.72 + 7*t^7.92 - t^8.12 + 4*t^8.32 + 5*t^8.48 - 4*t^8.52 + 4*t^8.68 + 3*t^8.72 + 11*t^8.88 - t^4.16/y - (2*t^6.28)/y - t^6.48/y - t^6.68/y + t^7.24/y + (2*t^7.44)/y + (5*t^7.64)/y + (3*t^7.84)/y + (3*t^8.04)/y - (3*t^8.4)/y + (4*t^8.8)/y - t^4.16*y - 2*t^6.28*y - t^6.48*y - t^6.68*y + t^7.24*y + 2*t^7.44*y + 5*t^7.64*y + 3*t^7.84*y + 3*t^8.04*y - 3*t^8.4*y + 4*t^8.8*y | 2*g1^14*t^2.12 + g1^4*t^2.32 + (2*t^2.52)/g1^6 + g1^6*t^3.48 + (3*t^3.68)/g1^4 + 3*g1^28*t^4.24 + 2*g1^18*t^4.44 + 5*g1^8*t^4.64 + (3*t^4.84)/g1^2 + (3*t^5.04)/g1^12 + 2*g1^20*t^5.6 + 5*g1^10*t^5.8 + (4*t^6.2)/g1^10 + 4*g1^42*t^6.36 + 3*g1^32*t^6.56 + 8*g1^22*t^6.76 + 6*g1^12*t^6.96 + 6*g1^2*t^7.16 + (4*t^7.36)/g1^8 + (2*t^7.56)/g1^18 + 3*g1^34*t^7.72 + 7*g1^24*t^7.92 - g1^14*t^8.12 + 4*g1^4*t^8.32 + 5*g1^56*t^8.48 - (4*t^8.52)/g1^6 + 4*g1^46*t^8.68 + (3*t^8.72)/g1^16 + 11*g1^36*t^8.88 - (g1^2*t^4.16)/y - (2*g1^16*t^6.28)/y - (g1^6*t^6.48)/y - t^6.68/(g1^4*y) + (g1^28*t^7.24)/y + (2*g1^18*t^7.44)/y + (5*g1^8*t^7.64)/y + (3*t^7.84)/(g1^2*y) + (3*t^8.04)/(g1^12*y) - (3*g1^30*t^8.4)/y + (4*g1^10*t^8.8)/y - g1^2*t^4.16*y - 2*g1^16*t^6.28*y - g1^6*t^6.48*y - (t^6.68*y)/g1^4 + g1^28*t^7.24*y + 2*g1^18*t^7.44*y + 5*g1^8*t^7.64*y + (3*t^7.84*y)/g1^2 + (3*t^8.04*y)/g1^12 - 3*g1^30*t^8.4*y + 4*g1^10*t^8.8*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 |
---|---|---|---|---|---|---|---|---|
3391 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_5M_6$ | 0.6685 | 0.8456 | 0.7906 | [X:[], M:[0.7228, 0.8331, 0.7228, 0.8331, 1.1669, 0.8331], q:[0.8607, 0.4165], qb:[0.4165, 0.7504], phi:[0.389]] | 2*t^2.17 + t^2.33 + 3*t^2.5 + 3*t^3.67 + 3*t^4.34 + 2*t^4.5 + 7*t^4.67 + 4*t^4.83 + 6*t^5. + 4*t^5.83 - 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 |
---|---|---|---|---|---|---|---|---|---|
1824 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ | 0.6574 | 0.8268 | 0.7952 | [X:[], M:[0.7351, 0.7916, 0.6718, 0.8549, 1.1451], q:[0.8691, 0.3958], qb:[0.4591, 0.7492], phi:[0.3817]] | t^2.02 + t^2.21 + t^2.29 + t^2.37 + t^2.56 + t^3.44 + t^3.52 + t^3.71 + t^3.9 + t^4.03 + t^4.22 + t^4.31 + t^4.39 + t^4.41 + t^4.5 + 3*t^4.58 + t^4.67 + t^4.75 + t^4.77 + 2*t^4.85 + t^4.94 + t^5.13 + t^5.45 + t^5.54 + t^5.64 + 2*t^5.73 + t^5.81 + t^5.89 + t^5.92 - t^6. - t^4.15/y - t^4.15*y | detail |