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 |
---|---|---|---|---|---|---|---|---|---|
3868 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_5M_7$ | 0.6164 | 0.8038 | 0.7669 | [X:[], M:[0.9564, 1.1309, 1.0436, 0.6964, 0.8691, 0.7836, 1.1309], q:[0.7391, 0.3045], qb:[0.4773, 0.3918], phi:[0.5218]] | [X:[], M:[[-4], [12], [4], [18], [-12], [26], [12]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_6$, $ M_3$, $ \phi_1^2$, $ M_2$, $ M_7$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_6^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_4$, $ M_3M_6$, $ M_4M_7$, $ M_6\phi_1^2$, $ M_4\phi_1q_2^2$, $ M_7q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_7q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_6$, $ M_6M_7$, $ M_6\phi_1q_2^2$, $ M_4\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | . | -3 | 2*t^2.09 + 2*t^2.35 + 2*t^3.13 + 3*t^3.39 + t^3.65 + t^3.92 + t^4.17 + 3*t^4.18 + 3*t^4.43 + 2*t^4.44 + t^4.69 + 2*t^4.7 + 4*t^5.22 + 9*t^5.48 + 5*t^5.74 - 3*t^6. + 3*t^6.01 + t^6.26 + 5*t^6.27 + 9*t^6.52 + 3*t^6.53 + t^6.77 + t^6.78 + 9*t^6.79 - t^7.04 + 5*t^7.05 - 3*t^7.3 + 8*t^7.31 + t^7.56 + 14*t^7.57 + 2*t^7.82 + 10*t^7.83 - t^8.08 + 2*t^8.09 - 4*t^8.35 + 8*t^8.36 + 12*t^8.61 + 5*t^8.62 + 2*t^8.86 + 15*t^8.87 + 3*t^8.88 - t^4.57/y - t^6.65/y - t^6.92/y + t^7.17/y + t^7.18/y + (3*t^7.43)/y + (2*t^7.44)/y - t^7.96/y + t^8.21/y + (4*t^8.22)/y + (11*t^8.48)/y + (7*t^8.74)/y - t^4.57*y - t^6.65*y - t^6.92*y + t^7.17*y + t^7.18*y + 3*t^7.43*y + 2*t^7.44*y - t^7.96*y + t^8.21*y + 4*t^8.22*y + 11*t^8.48*y + 7*t^8.74*y | 2*g1^18*t^2.09 + t^2.35/g1^20 + g1^26*t^2.35 + 2*g1^4*t^3.13 + 3*g1^12*t^3.39 + g1^20*t^3.65 + g1^28*t^3.92 + t^4.17/g1^10 + 3*g1^36*t^4.18 + t^4.43/g1^48 + (2*t^4.43)/g1^2 + 2*g1^44*t^4.44 + t^4.69/g1^40 + g1^6*t^4.7 + g1^52*t^4.7 + 4*g1^22*t^5.22 + (2*t^5.48)/g1^16 + 7*g1^30*t^5.48 + t^5.74/g1^8 + 4*g1^38*t^5.74 - 3*t^6. + 3*g1^46*t^6.01 - t^6.26/g1^38 + 2*g1^8*t^6.26 + 5*g1^54*t^6.27 + t^6.52/g1^30 + 8*g1^16*t^6.52 + 3*g1^62*t^6.53 + t^6.77/g1^68 + t^6.78/g1^22 + 7*g1^24*t^6.79 + 2*g1^70*t^6.79 + t^7.04/g1^60 - (2*t^7.04)/g1^14 + 4*g1^32*t^7.05 + g1^78*t^7.05 - t^7.3/g1^52 - (2*t^7.3)/g1^6 + 8*g1^40*t^7.31 + t^7.56/g1^44 + 2*g1^2*t^7.57 + 12*g1^48*t^7.57 + (2*t^7.82)/g1^36 + g1^10*t^7.83 + 9*g1^56*t^7.83 - t^8.08/g1^28 - 5*g1^18*t^8.09 + 7*g1^64*t^8.09 - (4*t^8.35)/g1^20 + 8*g1^72*t^8.36 + 12*g1^34*t^8.61 + 5*g1^80*t^8.62 + t^8.86/g1^96 + t^8.86/g1^50 + t^8.87/g1^4 + 14*g1^42*t^8.87 + 3*g1^88*t^8.88 - (g1^2*t^4.57)/y - (g1^20*t^6.65)/y - (g1^28*t^6.92)/y + t^7.17/(g1^10*y) + (g1^36*t^7.18)/y + (3*t^7.43)/(g1^2*y) + (2*g1^44*t^7.44)/y - (g1^14*t^7.96)/y + t^8.21/(g1^24*y) + (4*g1^22*t^8.22)/y + (3*t^8.48)/(g1^16*y) + (8*g1^30*t^8.48)/y + (3*t^8.74)/(g1^8*y) + (4*g1^38*t^8.74)/y - g1^2*t^4.57*y - g1^20*t^6.65*y - g1^28*t^6.92*y + (t^7.17*y)/g1^10 + g1^36*t^7.18*y + (3*t^7.43*y)/g1^2 + 2*g1^44*t^7.44*y - g1^14*t^7.96*y + (t^8.21*y)/g1^24 + 4*g1^22*t^8.22*y + (3*t^8.48*y)/g1^16 + 8*g1^30*t^8.48*y + (3*t^8.74*y)/g1^8 + 4*g1^38*t^8.74*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 |
---|---|---|---|---|---|---|---|---|
5463 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_1$ + $ M_5M_7$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.6371 | 0.8433 | 0.7554 | [X:[], M:[0.9556, 1.1331, 1.0444, 0.6996, 0.8669, 0.7884, 1.1331, 0.6895], q:[0.7389, 0.3055], qb:[0.4727, 0.3942], phi:[0.5222]] | t^2.07 + 2*t^2.1 + t^2.33 + t^2.37 + 2*t^3.13 + 3*t^3.4 + t^3.67 + t^4.14 + 3*t^4.17 + 3*t^4.2 + 2*t^4.4 + 3*t^4.43 + 2*t^4.46 + t^4.67 + t^4.7 + t^4.73 + 2*t^5.2 + 4*t^5.23 + 5*t^5.47 + 7*t^5.5 + 2*t^5.73 + 4*t^5.76 - 3*t^6. - t^4.57/y - t^4.57*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 |
---|---|---|---|---|---|---|---|---|---|
3389 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_1$ | 0.6283 | 0.8228 | 0.7636 | [X:[], M:[0.9544, 1.1368, 1.0456, 0.7052, 0.8632, 0.7964], q:[0.7386, 0.307], qb:[0.465, 0.3982], phi:[0.5228]] | 2*t^2.12 + t^2.32 + t^2.39 + t^2.59 + 2*t^3.14 + 2*t^3.41 + t^3.68 + t^3.96 + t^4.16 + 3*t^4.23 + t^4.36 + 2*t^4.43 + 2*t^4.5 + t^4.63 + 3*t^4.71 + t^4.78 + t^4.91 + t^4.98 + t^5.18 + 4*t^5.25 + 2*t^5.45 + 5*t^5.53 + 2*t^5.73 + 3*t^5.8 - t^6. - t^4.57/y - t^4.57*y | detail |