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 |
---|---|---|---|---|---|---|---|---|---|
58952 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{3}$ | 1.4179 | 1.6198 | 0.8753 | [X:[1.362], M:[0.7767, 0.7767, 1.043], q:[0.3751, 0.6941], qb:[0.5292, 0.4877], phi:[0.319]] | [X:[[0, 0, 4]], M:[[-1, 1, -5], [-1, 1, -5], [0, 0, 6]], q:[[-1, -1, 7], [-1, -1, 5]], qb:[[2, 0, 0], [0, 2, 0]], phi:[[0, 0, -2]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$ | ${}$ | -5 | 2*t^2.33 + t^2.59 + t^2.71 + t^3.13 + 2*t^3.55 + t^4.09 + 2*t^4.5 + 2*t^4.63 + 3*t^4.66 + 2*t^4.92 + t^5.04 + t^5.18 + t^5.29 + t^5.3 + t^5.43 + 3*t^5.46 + t^5.47 + t^5.58 + t^5.6 + t^5.72 + t^5.84 + 3*t^5.88 - 5*t^6. - t^6.12 + 2*t^6.13 + 3*t^6.25 + 3*t^6.26 + 2*t^6.42 + t^6.43 + t^6.55 + 3*t^6.67 + t^6.8 + 3*t^6.83 - t^6.96 - t^6.97 + 4*t^6.99 - t^7.08 + 5*t^7.09 + 2*t^7.2 + 5*t^7.21 + 3*t^7.25 + t^7.26 + 2*t^7.34 + t^7.37 + t^7.38 + 3*t^7.51 + 5*t^7.63 - 2*t^7.74 + 3*t^7.76 + 4*t^7.79 + t^7.8 + t^7.88 + t^7.89 - t^7.91 - t^7.93 + t^8. + t^8.01 - t^8.04 + 6*t^8.05 + t^8.06 + t^8.14 + t^8.16 + 7*t^8.17 + 2*t^8.18 + 4*t^8.21 + t^8.3 + 2*t^8.31 - 9*t^8.33 + t^8.42 + t^8.43 - t^8.45 + 3*t^8.46 + t^8.55 + 3*t^8.58 - t^8.59 + t^8.6 - 3*t^8.7 - 5*t^8.71 + 3*t^8.72 + 3*t^8.75 + 5*t^8.83 - t^8.84 + 3*t^8.85 - 2*t^8.88 + 3*t^8.96 + 3*t^8.97 + t^8.87/y^2 - t^3.96/y - t^4.91/y - (2*t^6.29)/y - t^6.55/y - t^6.67/y - t^7.09/y - (2*t^7.24)/y - (2*t^7.5)/y + t^7.66/y + (2*t^7.92)/y + t^8.04/y + t^8.3/y - (3*t^8.62)/y + t^8.72/y + t^8.84/y + (2*t^8.88)/y - t^3.96*y - t^4.91*y - 2*t^6.29*y - t^6.55*y - t^6.67*y - t^7.09*y - 2*t^7.24*y - 2*t^7.5*y + t^7.66*y + 2*t^7.92*y + t^8.04*y + t^8.3*y - 3*t^8.62*y + t^8.72*y + t^8.84*y + 2*t^8.88*y + t^8.87*y^2 | (2*g2*t^2.33)/(g1*g3^5) + (g2*g3^7*t^2.59)/g1 + (g1*g3^7*t^2.71)/g2 + g3^6*t^3.13 + (2*g2*g3^5*t^3.55)/g1 + g3^4*t^4.09 + (2*g2*g3^3*t^4.5)/g1 + (2*g1*g3^3*t^4.63)/g2 + (3*g2^2*t^4.66)/(g1^2*g3^10) + (2*g2^2*g3^2*t^4.92)/g1^2 + g3^2*t^5.04 + (g2^2*g3^14*t^5.18)/g1^2 + (g3^17*t^5.29)/(g1^3*g2^3) + g3^14*t^5.3 + (g1^2*g3^14*t^5.43)/g2^2 + (3*g2*g3*t^5.46)/g1 + (g1^2*g2^4*t^5.47)/g3^2 + (g1*g3*t^5.58)/g2 + (g1^4*g2^2*t^5.6)/g3^2 + (g2*g3^13*t^5.72)/g1 + (g1*g3^13*t^5.84)/g2 + (3*g2^2*t^5.88)/g1^2 - 5*t^6. - (g1^2*t^6.12)/g2^2 + (2*g2^2*g3^12*t^6.13)/g1^2 + (3*g3^15*t^6.25)/(g1^3*g2^3) + 3*g3^12*t^6.26 + (2*g2*t^6.42)/(g1*g3) + (g1^2*g2^4*t^6.43)/g3^4 + (g1^4*g2^2*t^6.55)/g3^4 + (3*g2*g3^11*t^6.67)/g1 + (g1*g3^11*t^6.8)/g2 + (3*g2^2*t^6.83)/(g1^2*g3^2) - t^6.96/g3^2 - (g1^3*g2^3*t^6.97)/g3^5 + (4*g2^3*t^6.99)/(g1^3*g3^15) - (g1^2*t^7.08)/(g2^2*g3^2) + (5*g2^2*g3^10*t^7.09)/g1^2 + (2*g3^13*t^7.2)/(g1^3*g2^3) + 5*g3^10*t^7.21 + (3*g2^3*t^7.25)/(g1^3*g3^3) + (g2^6*t^7.26)/g3^6 + (2*g1^2*g3^10*t^7.34)/g2^2 + (g2*t^7.37)/(g1*g3^3) + (g1^2*g2^4*t^7.38)/g3^6 + (g1^4*g2^2*t^7.51)/g3^6 + (2*g2^3*g3^9*t^7.51)/g1^3 + (g1^6*t^7.63)/g3^6 + (4*g2*g3^9*t^7.63)/g1 - (2*g3^12*t^7.74)/(g1^2*g2^4) + (2*g1*g3^9*t^7.76)/g2 + (g2^3*g3^21*t^7.76)/g1^3 + (4*g2^2*t^7.79)/(g1^2*g3^4) + (g1*g2^5*t^7.8)/g3^7 + (g3^24*t^7.88)/(g1^4*g2^2) + (g2*g3^21*t^7.89)/g1 - t^7.91/g3^4 - (g1^3*g2^3*t^7.93)/g3^7 + (g3^24*t^8.)/(g1^2*g2^4) + (g1*g3^21*t^8.01)/g2 - (g1^2*t^8.04)/(g2^2*g3^4) - (g1^5*g2*t^8.05)/g3^7 + (7*g2^2*g3^8*t^8.05)/g1^2 + g1*g2^5*g3^5*t^8.06 + (g1^3*g3^21*t^8.14)/g2^3 + (g3^11*t^8.16)/(g1^3*g2^3) + 7*g3^8*t^8.17 + 2*g1^3*g2^3*g3^5*t^8.18 + (4*g2^3*t^8.21)/(g1^3*g3^5) + (g1^2*g3^8*t^8.3)/g2^2 + g1^5*g2*g3^5*t^8.31 + (g2^2*g3^20*t^8.31)/g1^2 - (9*g2*t^8.33)/(g1*g3^5) + (g3^23*t^8.42)/(g1^3*g2^3) + g3^20*t^8.43 - (g1*t^8.45)/(g2*g3^5) + (3*g2^3*g3^7*t^8.46)/g1^3 + (g1^2*g3^20*t^8.55)/g2^2 + (3*g3^10*t^8.58)/(g1^4*g2^2) - (g2*g3^7*t^8.59)/g1 + g1^2*g2^4*g3^4*t^8.6 - (3*g3^10*t^8.7)/(g1^2*g2^4) - (5*g1*g3^7*t^8.71)/g2 + g1^4*g2^2*g3^4*t^8.72 + (2*g2^3*g3^19*t^8.72)/g1^3 + (3*g2^2*t^8.75)/(g1^2*g3^6) + (5*g3^22*t^8.83)/(g1^4*g2^2) - (g1^3*g3^7*t^8.84)/g2^3 + (3*g2*g3^19*t^8.85)/g1 - (2*g1^3*g2^3*t^8.88)/g3^9 + (3*g3^22*t^8.96)/(g1^2*g2^4) + (3*g1*g3^19*t^8.97)/g2 + t^8.87/(g3^6*y^2) - t^3.96/(g3^2*y) - t^4.91/(g3^4*y) - (2*g2*t^6.29)/(g1*g3^7*y) - (g2*g3^5*t^6.55)/(g1*y) - (g1*g3^5*t^6.67)/(g2*y) - (g3^4*t^7.09)/y - (2*g2*t^7.24)/(g1*g3^9*y) - (2*g2*g3^3*t^7.5)/(g1*y) + (g2^2*t^7.66)/(g1^2*g3^10*y) + (2*g2^2*g3^2*t^7.92)/(g1^2*y) + (g3^2*t^8.04)/y + (g3^14*t^8.3)/y - (3*g2^2*t^8.62)/(g1^2*g3^12*y) + (g2*g3^13*t^8.72)/(g1*y) + (g1*g3^13*t^8.84)/(g2*y) + (2*g2^2*t^8.88)/(g1^2*y) - (t^3.96*y)/g3^2 - (t^4.91*y)/g3^4 - (2*g2*t^6.29*y)/(g1*g3^7) - (g2*g3^5*t^6.55*y)/g1 - (g1*g3^5*t^6.67*y)/g2 - g3^4*t^7.09*y - (2*g2*t^7.24*y)/(g1*g3^9) - (2*g2*g3^3*t^7.5*y)/g1 + (g2^2*t^7.66*y)/(g1^2*g3^10) + (2*g2^2*g3^2*t^7.92*y)/g1^2 + g3^2*t^8.04*y + g3^14*t^8.3*y - (3*g2^2*t^8.62*y)/(g1^2*g3^12) + (g2*g3^13*t^8.72*y)/g1 + (g1*g3^13*t^8.84*y)/g2 + (2*g2^2*t^8.88*y)/g1^2 + (t^8.87*y^2)/g3^6 |
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 |
---|---|---|---|---|---|---|---|---|
61103 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4079 | 1.5988 | 0.8806 | [X:[1.3879], M:[0.7681, 0.7681, 1.0819], q:[0.3652, 0.6712], qb:[0.5607, 0.5666], phi:[0.306]] | 2*t^2.3 + t^2.78 + t^2.8 + t^3.25 + 2*t^3.71 + t^4.16 + 5*t^4.61 + 2*t^4.63 + t^5.08 + 2*t^5.1 + t^5.12 + t^5.53 + 3*t^5.55 + t^5.56 + t^5.57 + t^5.59 - 4*t^6. - t^3.92/y - t^4.84/y - t^3.92*y - t^4.84*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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
57499 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4229 | 1.624 | 0.8762 | [X:[1.3773], M:[0.7599, 0.7599], q:[0.39, 0.7014], qb:[0.5387, 0.5016], phi:[0.3114]] | 2*t^2.28 + t^2.67 + t^2.79 + t^2.8 + 2*t^3.61 + t^4.13 + 2*t^4.54 + 3*t^4.56 + 2*t^4.65 + 2*t^4.95 + t^5.07 + 2*t^5.08 + t^5.35 + t^5.38 + t^5.46 + 2*t^5.48 + t^5.56 + t^5.57 + 2*t^5.59 + t^5.6 + t^5.67 + 3*t^5.89 - 5*t^6. - t^3.93/y - t^4.87/y - t^3.93*y - t^4.87*y | detail |