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 |
---|---|---|---|---|---|---|---|---|---|
556 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ | 0.6052 | 0.7938 | 0.7624 | [X:[], M:[0.9204, 1.2388, 0.7612, 0.7612], q:[0.7301, 0.3495], qb:[0.3495, 0.4117], phi:[0.5398]] | [X:[], M:[[4], [-12], [12], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ M_3$, $ M_4$, $ q_2\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ M_1M_4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_3\phi_1q_2^2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$ | 3 | t^2.1 + 3*t^2.28 + t^2.76 + 2*t^3.24 + t^3.43 + 2*t^3.72 + 2*t^3.9 + t^4.09 + t^4.19 + 3*t^4.38 + 6*t^4.57 + t^4.86 + 3*t^5.04 + 2*t^5.34 + 7*t^5.52 + 3*t^5.71 + 3*t^6. + 5*t^6.19 + t^6.29 + 3*t^6.37 + 3*t^6.48 + 7*t^6.66 + 11*t^6.85 + 2*t^6.96 + 3*t^7.14 + 8*t^7.33 + 2*t^7.43 + t^7.52 + 3*t^7.62 + 14*t^7.81 + 8*t^7.99 - 3*t^8.1 + t^8.18 + 2*t^8.28 + t^8.39 + 9*t^8.47 + t^8.57 + 6*t^8.66 + 2*t^8.76 + 12*t^8.95 - t^4.62/y - t^6.9/y + (3*t^7.38)/y + (3*t^7.57)/y + t^7.86/y + (3*t^8.04)/y + (3*t^8.34)/y + (7*t^8.52)/y + (3*t^8.71)/y + (2*t^8.81)/y - t^4.62*y - t^6.9*y + 3*t^7.38*y + 3*t^7.57*y + t^7.86*y + 3*t^8.04*y + 3*t^8.34*y + 7*t^8.52*y + 3*t^8.71*y + 2*t^8.81*y | t^2.1/g1^10 + 3*g1^12*t^2.28 + g1^4*t^2.76 + (2*t^3.24)/g1^4 + g1^18*t^3.43 + (2*t^3.72)/g1^12 + 2*g1^10*t^3.9 + g1^32*t^4.09 + t^4.19/g1^20 + 3*g1^2*t^4.38 + 6*g1^24*t^4.57 + t^4.86/g1^6 + 3*g1^16*t^5.04 + (2*t^5.34)/g1^14 + 7*g1^8*t^5.52 + 3*g1^30*t^5.71 + 3*t^6. + 5*g1^22*t^6.19 + t^6.29/g1^30 + 3*g1^44*t^6.37 + (3*t^6.48)/g1^8 + 7*g1^14*t^6.66 + 11*g1^36*t^6.85 + (2*t^6.96)/g1^16 + 3*g1^6*t^7.14 + 8*g1^28*t^7.33 + (2*t^7.43)/g1^24 + g1^50*t^7.52 + (3*t^7.62)/g1^2 + 14*g1^20*t^7.81 + 8*g1^42*t^7.99 - (3*t^8.1)/g1^10 + g1^64*t^8.18 + 2*g1^12*t^8.28 + t^8.39/g1^40 + 9*g1^34*t^8.47 + t^8.57/g1^18 + 6*g1^56*t^8.66 + 2*g1^4*t^8.76 + 12*g1^26*t^8.95 - t^4.62/(g1^2*y) - (g1^10*t^6.9)/y + (3*g1^2*t^7.38)/y + (3*g1^24*t^7.57)/y + t^7.86/(g1^6*y) + (3*g1^16*t^8.04)/y + (3*t^8.34)/(g1^14*y) + (7*g1^8*t^8.52)/y + (3*g1^30*t^8.71)/y + (2*t^8.81)/(g1^22*y) - (t^4.62*y)/g1^2 - g1^10*t^6.9*y + 3*g1^2*t^7.38*y + 3*g1^24*t^7.57*y + (t^7.86*y)/g1^6 + 3*g1^16*t^8.04*y + (3*t^8.34*y)/g1^14 + 7*g1^8*t^8.52*y + 3*g1^30*t^8.71*y + (2*t^8.81*y)/g1^22 |
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 |
---|---|---|---|---|---|---|---|---|
871 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6257 | 0.8329 | 0.7513 | [X:[], M:[0.9213, 1.2362, 0.7638, 0.7638, 0.6968], q:[0.7303, 0.3484], qb:[0.3484, 0.4154], phi:[0.5394]] | 2*t^2.09 + 3*t^2.29 + t^2.76 + 2*t^3.24 + t^3.44 + 2*t^3.71 + t^3.91 + t^4.11 + 3*t^4.18 + 6*t^4.38 + 6*t^4.58 + 2*t^4.85 + 3*t^5.06 + 4*t^5.33 + 8*t^5.53 + 3*t^5.73 + 2*t^5.8 + 3*t^6. - t^4.62/y - t^4.62*y | detail | |
1900 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.6188 | 0.8154 | 0.7589 | [X:[], M:[0.9271, 1.2187, 0.7813, 0.7813, 0.828], q:[0.7318, 0.3411], qb:[0.3411, 0.4402], phi:[0.5364]] | t^2.05 + 3*t^2.34 + t^2.48 + t^2.78 + 2*t^3.22 + 2*t^3.66 + 2*t^3.95 + t^4.09 + t^4.25 + 3*t^4.39 + t^4.53 + 6*t^4.69 + 4*t^4.83 + t^4.97 + 3*t^5.13 + 3*t^5.27 + 6*t^5.56 + 2*t^5.7 + 3*t^6. - t^4.61/y - t^4.61*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 |
---|---|---|---|---|---|---|---|---|---|
351 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6172 | 0.7998 | 0.7717 | [X:[], M:[0.9566, 1.1301, 0.8699, 0.7306], q:[0.7392, 0.3042], qb:[0.4435, 0.4264], phi:[0.5217]] | 2*t^2.19 + t^2.24 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.5 + t^3.55 + t^3.76 + t^4.12 + t^4.17 + t^4.23 + 3*t^4.38 + 2*t^4.43 + t^4.49 + 2*t^4.8 + t^4.85 + 2*t^5.06 + t^5.11 + t^5.22 + 2*t^5.32 + t^5.37 + t^5.48 + t^5.58 + 2*t^5.69 + 4*t^5.74 + t^5.79 + t^5.95 - t^6. - t^4.57/y - t^4.57*y | detail |