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 |
---|---|---|---|---|---|---|---|---|---|
46616 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4M_5$ | 0.6206 | 0.7586 | 0.8181 | [X:[], M:[1.1494, 0.7075, 0.8506, 0.8251, 1.1749], q:[0.4125, 0.438], qb:[0.88, 0.7369], phi:[0.3831]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [6, 8]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_5$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ q_2\tilde{q}_1$, $ M_2^2$, $ M_2\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_5$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_2\phi_1q_2^2$ | $\phi_1^3q_1q_2$ | -1 | t^2.12 + t^2.3 + t^2.55 + t^3.45 + t^3.52 + t^3.62 + t^3.7 + t^3.78 + t^3.95 + t^4.24 + t^4.42 + t^4.6 + t^4.67 + 2*t^4.85 + t^5.1 + t^5.57 + t^5.65 + t^5.75 + t^5.82 + t^5.9 - t^6. + 2*t^6.08 + t^6.25 + t^6.33 + t^6.37 + t^6.51 + t^6.54 + t^6.72 + t^6.8 + t^6.9 + 2*t^6.97 + t^7.05 + t^7.15 + t^7.23 + t^7.25 + t^7.3 - t^7.33 + t^7.4 + t^7.48 + t^7.56 + t^7.66 + t^7.69 + t^7.73 + t^7.77 + t^7.87 + t^7.91 + t^7.95 + t^8.02 - t^8.12 + 2*t^8.2 - t^8.3 + t^8.38 + t^8.45 - t^8.48 + t^8.49 - 2*t^8.55 + 2*t^8.63 + t^8.67 - t^8.73 + t^8.8 + t^8.84 + t^8.88 + t^8.92 - t^4.15/y - t^6.27/y - t^6.45/y + t^7.42/y + t^7.67/y + (2*t^7.85)/y + t^8.03/y - t^8.39/y + t^8.65/y + t^8.75/y + (2*t^8.82)/y + t^8.9/y + t^8.92/y - t^4.15*y - t^6.27*y - t^6.45*y + t^7.42*y + t^7.67*y + 2*t^7.85*y + t^8.03*y - t^8.39*y + t^8.65*y + t^8.75*y + 2*t^8.82*y + t^8.9*y + t^8.92*y | g1^2*g2^4*t^2.12 + t^2.3/(g1^2*g2^2) + g1^3*g2^3*t^2.55 + t^3.45/(g1^3*g2^3) + g1^6*g2^8*t^3.52 + t^3.62/(g1^7*g2^9) + g1^2*g2^2*t^3.7 + g1^11*g2^13*t^3.78 + g1^7*g2^7*t^3.95 + g1^4*g2^8*t^4.24 + g2^2*t^4.42 + t^4.6/(g1^4*g2^4) + g1^5*g2^7*t^4.67 + 2*g1*g2*t^4.85 + g1^6*g2^6*t^5.1 + (g2*t^5.57)/g1 + g1^8*g2^12*t^5.65 + t^5.75/(g1^5*g2^5) + g1^4*g2^6*t^5.82 + g1^13*g2^17*t^5.9 - t^6. + 2*g1^9*g2^11*t^6.08 + g1^5*g2^5*t^6.25 + g1^14*g2^16*t^6.33 + g1^6*g2^12*t^6.37 + g1^10*g2^10*t^6.51 + g1^2*g2^6*t^6.54 + t^6.72/g1^2 + g1^7*g2^11*t^6.8 + t^6.9/(g1^6*g2^6) + 2*g1^3*g2^5*t^6.97 + g1^12*g2^16*t^7.05 + t^7.15/(g1*g2) + g1^8*g2^10*t^7.23 + t^7.25/(g1^14*g2^18) + g1^17*g2^21*t^7.3 - t^7.33/(g1^5*g2^7) + g1^4*g2^4*t^7.4 + g1^13*g2^15*t^7.48 + g1^22*g2^26*t^7.56 + g1^9*g2^9*t^7.66 + g1*g2^5*t^7.69 + g1^18*g2^20*t^7.73 + g1^10*g2^16*t^7.77 + t^7.87/(g1^3*g2) + g1^14*g2^14*t^7.91 + g1^6*g2^10*t^7.95 + g1^15*g2^21*t^8.02 - g1^2*g2^4*t^8.12 + 2*g1^11*g2^15*t^8.2 - t^8.3/(g1^2*g2^2) + g1^7*g2^9*t^8.38 + g1^16*g2^20*t^8.45 - t^8.48/(g1^6*g2^8) + g1^8*g2^16*t^8.49 - 2*g1^3*g2^3*t^8.55 + 2*g1^12*g2^14*t^8.63 + g1^4*g2^10*t^8.67 - t^8.73/(g1*g2^3) + g1^8*g2^8*t^8.8 + g2^4*t^8.84 + g1^17*g2^19*t^8.88 + g1^9*g2^15*t^8.92 - t^4.15/(g1*g2*y) - (g1*g2^3*t^6.27)/y - t^6.45/(g1^3*g2^3*y) + (g2^2*t^7.42)/y + (g1^5*g2^7*t^7.67)/y + (2*g1*g2*t^7.85)/y + t^8.03/(g1^3*g2^5*y) - (g1^3*g2^7*t^8.39)/y + (g1^8*g2^12*t^8.65)/y + t^8.75/(g1^5*g2^5*y) + (2*g1^4*g2^6*t^8.82)/y + (g1^13*g2^17*t^8.9)/y + t^8.92/(g1^9*g2^11*y) - (t^4.15*y)/(g1*g2) - g1*g2^3*t^6.27*y - (t^6.45*y)/(g1^3*g2^3) + g2^2*t^7.42*y + g1^5*g2^7*t^7.67*y + 2*g1*g2*t^7.85*y + (t^8.03*y)/(g1^3*g2^5) - g1^3*g2^7*t^8.39*y + g1^8*g2^12*t^8.65*y + (t^8.75*y)/(g1^5*g2^5) + 2*g1^4*g2^6*t^8.82*y + g1^13*g2^17*t^8.9*y + (t^8.92*y)/(g1^9*g2^11) |
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 |
---|---|---|---|---|---|---|---|---|
47252 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4M_5$ + $ M_2\phi_1q_2^2$ | 0.6204 | 0.7573 | 0.8192 | [X:[], M:[1.147, 0.7205, 0.853, 0.8088, 1.1912], q:[0.4044, 0.4486], qb:[0.8751, 0.7426], phi:[0.3823]] | t^2.16 + t^2.29 + t^2.56 + t^3.44 + 2*t^3.57 + t^3.71 + t^3.84 + t^3.97 + t^4.32 + t^4.46 + t^4.59 + t^4.72 + 2*t^4.85 + t^5.12 + t^5.6 + 2*t^5.74 + t^5.87 - t^4.15/y - t^4.15*y | detail | |
46995 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4M_5$ + $ M_6\phi_1q_1^2$ | 0.6384 | 0.793 | 0.805 | [X:[], M:[1.1551, 0.688, 0.8449, 0.8521, 1.1479, 0.7629], q:[0.426, 0.4189], qb:[0.8859, 0.729], phi:[0.385]] | t^2.06 + t^2.29 + t^2.31 + t^2.53 + t^3.44 + t^3.47 + t^3.67 + t^3.69 + t^3.91 + t^4.13 + t^4.35 + t^4.37 + t^4.58 + 2*t^4.6 + t^4.62 + t^4.82 + 2*t^4.84 + t^5.07 + t^5.51 + t^5.53 + 2*t^5.73 + 2*t^5.75 + t^5.96 + 3*t^5.98 - t^6. - t^4.16/y - t^4.16*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 |
---|---|---|---|---|---|---|---|---|---|
46225 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.6366 | 0.7855 | 0.8105 | [X:[], M:[1.1465, 0.7368, 0.8535, 0.7919], q:[0.396, 0.4575], qb:[0.8673, 0.7506], phi:[0.3822]] | t^2.21 + t^2.29 + t^2.38 + t^2.56 + t^3.44 + t^3.52 + t^3.71 + t^3.89 + t^3.97 + t^4.42 + t^4.5 + 2*t^4.59 + t^4.67 + t^4.75 + t^4.77 + 2*t^4.85 + t^4.94 + t^5.12 + t^5.65 + t^5.73 + t^5.82 + t^5.9 - t^6. - t^4.15/y - t^4.15*y | detail |