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 |
---|---|---|---|---|---|---|---|---|---|
3933 | 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_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6166 | 0.8041 | 0.7668 | [X:[], M:[0.955, 1.1349, 1.045, 0.8651, 1.1349, 0.7922, 0.6853], q:[0.7388, 0.3062], qb:[0.3961, 0.469], phi:[0.5225]] | [X:[], M:[[4], [-12], [-4], [12], [-12], [-26], [28]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_7$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_6$, $ M_3$, $ \phi_1^2$, $ M_2$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ M_7q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_7q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_6M_7$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_2$, $ M_6^2$, $ M_3M_7$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_7$, $ M_5M_7$, $ M_7\phi_1q_2^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_6$, $ M_6\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_6$, $ M_5M_6$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_1^2$, $ M_7\phi_1q_2\tilde{q}_2$ | $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -2 | t^2.06 + t^2.11 + t^2.33 + t^2.38 + 2*t^3.13 + 3*t^3.4 + t^3.67 + t^3.89 + t^4.11 + 2*t^4.16 + t^4.21 + 2*t^4.38 + 2*t^4.43 + t^4.48 + t^4.65 + t^4.7 + t^4.75 + 2*t^5.19 + 2*t^5.24 + 5*t^5.46 + 4*t^5.51 + 2*t^5.73 + 3*t^5.78 + t^5.95 - 2*t^6. + t^6.05 + t^6.17 + 2*t^6.22 + 2*t^6.27 + t^6.32 + 2*t^6.44 + 2*t^6.49 + 7*t^6.54 + t^6.59 + 2*t^6.71 + t^6.76 + 7*t^6.81 + t^6.86 + t^6.98 + 2*t^7.08 + t^7.13 + t^7.25 + 3*t^7.3 + t^7.35 + 6*t^7.52 + 5*t^7.57 + 4*t^7.62 + 5*t^7.79 + 3*t^7.84 + 4*t^7.89 + t^8.01 - 2*t^8.06 - t^8.11 + 3*t^8.16 + t^8.22 + 3*t^8.27 - t^8.33 - t^8.38 + 2*t^8.43 + 2*t^8.49 + 3*t^8.54 + 6*t^8.6 + 5*t^8.65 + t^8.7 + 3*t^8.76 + t^8.81 + 7*t^8.87 + 8*t^8.92 + t^8.97 - t^4.57/y - t^6.62/y - t^6.94/y + (2*t^7.16)/y + t^7.38/y + (3*t^7.43)/y + t^7.48/y - t^7.97/y + (3*t^8.19)/y + (2*t^8.24)/y + (5*t^8.46)/y + (6*t^8.51)/y - t^8.68/y + (4*t^8.73)/y + (4*t^8.78)/y + t^8.95/y - t^4.57*y - t^6.62*y - t^6.94*y + 2*t^7.16*y + t^7.38*y + 3*t^7.43*y + t^7.48*y - t^7.97*y + 3*t^8.19*y + 2*t^8.24*y + 5*t^8.46*y + 6*t^8.51*y - t^8.68*y + 4*t^8.73*y + 4*t^8.78*y + t^8.95*y | g1^28*t^2.06 + t^2.11/g1^18 + g1^20*t^2.33 + t^2.38/g1^26 + (2*t^3.13)/g1^4 + (3*t^3.4)/g1^12 + t^3.67/g1^20 + g1^18*t^3.89 + g1^56*t^4.11 + 2*g1^10*t^4.16 + t^4.21/g1^36 + 2*g1^48*t^4.38 + 2*g1^2*t^4.43 + t^4.48/g1^44 + g1^40*t^4.65 + t^4.7/g1^6 + t^4.75/g1^52 + 2*g1^24*t^5.19 + (2*t^5.24)/g1^22 + 5*g1^16*t^5.46 + (4*t^5.51)/g1^30 + 2*g1^8*t^5.73 + (3*t^5.78)/g1^38 + g1^46*t^5.95 - 2*t^6. + t^6.05/g1^46 + g1^84*t^6.17 + 2*g1^38*t^6.22 + (2*t^6.27)/g1^8 + t^6.32/g1^54 + 2*g1^76*t^6.44 + 2*g1^30*t^6.49 + (7*t^6.54)/g1^16 + t^6.59/g1^62 + 2*g1^68*t^6.71 + g1^22*t^6.76 + (7*t^6.81)/g1^24 + t^6.86/g1^70 + g1^60*t^6.98 + (2*t^7.08)/g1^32 + t^7.13/g1^78 + g1^52*t^7.25 + 3*g1^6*t^7.3 + t^7.35/g1^40 + 6*g1^44*t^7.52 + (5*t^7.57)/g1^2 + (4*t^7.62)/g1^48 + 5*g1^36*t^7.79 + (3*t^7.84)/g1^10 + (4*t^7.89)/g1^56 + g1^74*t^8.01 - 2*g1^28*t^8.06 - t^8.11/g1^18 + (3*t^8.16)/g1^64 + g1^112*t^8.22 + 3*g1^66*t^8.27 - g1^20*t^8.33 - t^8.38/g1^26 + (2*t^8.43)/g1^72 + 2*g1^104*t^8.49 + 3*g1^58*t^8.54 + 6*g1^12*t^8.6 + (5*t^8.65)/g1^34 + t^8.7/g1^80 + 3*g1^96*t^8.76 + g1^50*t^8.81 + 7*g1^4*t^8.87 + (8*t^8.92)/g1^42 + t^8.97/g1^88 - t^4.57/(g1^2*y) - (g1^26*t^6.62)/y - t^6.94/(g1^28*y) + (2*g1^10*t^7.16)/y + (g1^48*t^7.38)/y + (3*g1^2*t^7.43)/y + t^7.48/(g1^44*y) - t^7.97/(g1^14*y) + (3*g1^24*t^8.19)/y + (2*t^8.24)/(g1^22*y) + (5*g1^16*t^8.46)/y + (6*t^8.51)/(g1^30*y) - (g1^54*t^8.68)/y + (4*g1^8*t^8.73)/y + (4*t^8.78)/(g1^38*y) + (g1^46*t^8.95)/y - (t^4.57*y)/g1^2 - g1^26*t^6.62*y - (t^6.94*y)/g1^28 + 2*g1^10*t^7.16*y + g1^48*t^7.38*y + 3*g1^2*t^7.43*y + (t^7.48*y)/g1^44 - (t^7.97*y)/g1^14 + 3*g1^24*t^8.19*y + (2*t^8.24*y)/g1^22 + 5*g1^16*t^8.46*y + (6*t^8.51*y)/g1^30 - g1^54*t^8.68*y + 4*g1^8*t^8.73*y + (4*t^8.78*y)/g1^38 + g1^46*t^8.95*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 |
---|---|---|---|---|---|---|---|---|
5494 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6347 | 0.8368 | 0.7585 | [X:[], M:[0.9533, 1.1401, 1.0467, 0.8599, 1.1401, 0.8037, 0.673, 0.7664], q:[0.7383, 0.3084], qb:[0.4018, 0.458], phi:[0.5234]] | t^2.02 + t^2.13 + 2*t^2.3 + t^2.41 + 2*t^3.14 + 3*t^3.42 + t^3.87 + t^4.04 + 2*t^4.15 + t^4.26 + 3*t^4.32 + 3*t^4.43 + t^4.54 + 3*t^4.6 + 2*t^4.71 + t^4.82 + 2*t^5.16 + 2*t^5.27 + 7*t^5.44 + 4*t^5.55 + 4*t^5.72 + 2*t^5.83 + t^5.89 - 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 |
---|---|---|---|---|---|---|---|---|---|
3663 | 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_4q_1\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_4M_5$ + $ M_6q_1\tilde{q}_2$ | 0.5958 | 0.764 | 0.7799 | [X:[], M:[0.9557, 1.1329, 1.0443, 0.8671, 1.1329, 0.7879], q:[0.7389, 0.3054], qb:[0.394, 0.4732], phi:[0.5221]] | t^2.1 + t^2.34 + t^2.36 + 2*t^3.13 + 3*t^3.4 + t^3.66 + t^3.9 + t^3.93 + t^4.17 + t^4.2 + t^4.41 + t^4.43 + t^4.46 + t^4.67 + t^4.7 + t^4.73 + 2*t^5.23 + 2*t^5.47 + 4*t^5.5 + t^5.73 + 3*t^5.76 - 2*t^6. - t^4.57/y - t^4.57*y | detail |