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 |
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61191 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.467 | 1.6745 | 0.8761 | [X:[1.3639], M:[0.907, 0.9097, 0.6806], q:[0.4686, 0.4713], qb:[0.5301, 0.6218], phi:[0.3181]] | [X:[[0, 6]], M:[[-1, -13], [1, -23], [-1, 8]], q:[[-1, 10], [1, 0]], qb:[[0, -5], [0, 13]], phi:[[0, -3]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | t^2.04 + t^2.72 + t^2.73 + t^2.86 + 2*t^3. + t^3.95 + t^4.08 + t^4.09 + 2*t^4.23 + t^4.76 + t^4.77 + 2*t^4.9 + t^4.91 + t^5.04 + t^5.05 + 2*t^5.18 + 2*t^5.19 + t^5.44 + t^5.45 + t^5.46 + t^5.58 + t^5.59 + 3*t^5.72 + t^5.73 + t^5.86 + t^5.87 + t^5.99 - 2*t^6. + 3*t^6.13 + t^6.14 + t^6.27 + t^6.28 + t^6.67 + t^6.8 + 3*t^6.81 + t^6.82 + 5*t^6.95 + 2*t^7.08 + 4*t^7.09 + 4*t^7.1 + 3*t^7.22 + 3*t^7.23 + t^7.24 + t^7.48 + t^7.49 + t^7.5 + 5*t^7.63 + t^7.64 + t^7.76 + 5*t^7.77 + 3*t^7.9 + 4*t^7.91 + t^7.92 + t^8.03 - t^8.04 + t^8.16 + 2*t^8.17 + 9*t^8.18 + 2*t^8.19 + t^8.3 + 2*t^8.31 + 2*t^8.32 + t^8.44 + 5*t^8.45 + 3*t^8.46 + t^8.47 + t^8.58 + 2*t^8.59 + t^8.6 + t^8.71 - 2*t^8.72 - 2*t^8.73 + 5*t^8.85 + t^8.86 + 3*t^8.99 + t^8.86/y^2 - t^3.95/y - t^4.91/y - t^6./y - (2*t^6.68)/y - t^6.82/y - (2*t^6.95)/y - t^6.96/y - t^7.63/y - t^7.64/y + t^7.76/y + t^8.05/y + t^8.45/y + t^8.58/y + t^8.59/y + t^8.72/y + t^8.73/y - t^8.86/y + t^8.87/y - t^8.99/y - t^3.95*y - t^4.91*y - t^6.*y - 2*t^6.68*y - t^6.82*y - 2*t^6.95*y - t^6.96*y - t^7.63*y - t^7.64*y + t^7.76*y + t^8.05*y + t^8.45*y + t^8.58*y + t^8.59*y + t^8.72*y + t^8.73*y - t^8.86*y + t^8.87*y - t^8.99*y + t^8.86*y^2 | (g2^8*t^2.04)/g1 + t^2.72/(g1*g2^13) + (g1*t^2.73)/g2^23 + t^2.86/g2^9 + (g1*t^3.)/g2^5 + (g2^5*t^3.)/g1 + (g2^2*t^3.95)/g1 + (g2^16*t^4.08)/g1^2 + g2^6*t^4.09 + g1*g2^10*t^4.23 + (g2^20*t^4.23)/g1 + t^4.76/(g1^2*g2^5) + t^4.77/g2^15 + (2*t^4.9)/(g1*g2) + (g1*t^4.91)/g2^11 + (g2^13*t^5.04)/g1^2 + g2^3*t^5.05 + (2*g2^17*t^5.18)/g1 + 2*g1*g2^7*t^5.19 + t^5.44/(g1^2*g2^26) + t^5.45/g2^36 + (g1^2*t^5.46)/g2^46 + t^5.58/(g1*g2^22) + (g1*t^5.59)/g2^32 + (2*t^5.72)/g2^18 + t^5.72/(g1^2*g2^8) + (g1^2*t^5.73)/g2^28 + t^5.86/(g1*g2^4) + (g1*t^5.87)/g2^14 + (g2^10*t^5.99)/g1^2 - 2*t^6. + (2*g2^14*t^6.13)/g1 + (g2^24*t^6.13)/g1^3 + g1*g2^4*t^6.14 + (g2^28*t^6.27)/g1^2 + g2^18*t^6.28 + t^6.67/(g1^2*g2^11) + (g2^3*t^6.8)/g1^3 + (3*t^6.81)/(g1*g2^7) + (g1*t^6.82)/g2^17 + (2*t^6.95)/g2^3 + (3*g2^7*t^6.95)/g1^2 + (2*g2^21*t^7.08)/g1^3 + (4*g2^11*t^7.09)/g1 + (g1^3*t^7.1)/g2^9 + 3*g1*g2*t^7.1 + (3*g2^25*t^7.22)/g1^2 + 3*g2^15*t^7.23 + g1^2*g2^5*t^7.24 + t^7.48/(g1^3*g2^18) + t^7.49/(g1*g2^28) + (g1*t^7.5)/g2^38 + (3*t^7.63)/g2^24 + (2*t^7.63)/(g1^2*g2^14) + (g1^2*t^7.64)/g2^34 + t^7.76/g1^3 + (2*g1*t^7.77)/g2^20 + (3*t^7.77)/(g1*g2^10) + (3*g2^4*t^7.9)/g1^2 + (4*t^7.91)/g2^6 + (g1^2*t^7.92)/g2^16 + (g2^18*t^8.03)/g1^3 - (g2^8*t^8.04)/g1 + t^8.16/(g1^3*g2^39) + t^8.17/(g1*g2^49) + (g2^32*t^8.17)/g1^4 + (g1*t^8.18)/g2^59 + 4*g2^12*t^8.18 + (4*g2^22*t^8.18)/g1^2 + (g1^3*t^8.19)/g2^69 + g1^2*g2^2*t^8.19 + t^8.3/(g1^2*g2^35) + t^8.31/g2^45 + (g2^36*t^8.31)/g1^3 + (g1^2*t^8.32)/g2^55 + (g2^26*t^8.32)/g1 + t^8.44/(g1^3*g2^21) + (2*g1*t^8.45)/g2^41 + (2*t^8.45)/(g1*g2^31) + (g2^40*t^8.45)/g1^2 + (g1^3*t^8.46)/g2^51 + 2*g2^30*t^8.46 + g1^2*g2^20*t^8.47 + t^8.58/(g1^2*g2^17) + (2*t^8.59)/g2^27 + (g1^2*t^8.6)/g2^37 + t^8.71/(g1^3*g2^3) - (2*t^8.72)/(g1*g2^13) - (2*g1*t^8.73)/g2^23 + (4*g2*t^8.85)/g1^2 + (g2^11*t^8.85)/g1^4 + t^8.86/g2^9 + (3*g2^15*t^8.99)/g1^3 + t^8.86/(g2^9*y^2) - t^3.95/(g2^3*y) - t^4.91/(g2^6*y) - (g2^5*t^6.)/(g1*y) - (g1*t^6.68)/(g2^26*y) - t^6.68/(g1*g2^16*y) - t^6.82/(g2^12*y) - (2*g2^2*t^6.95)/(g1*y) - (g1*t^6.96)/(g2^8*y) - t^7.63/(g1*g2^19*y) - (g1*t^7.64)/(g2^29*y) + t^7.76/(g1^2*g2^5*y) + (g2^3*t^8.05)/y + t^8.45/(g2^36*y) + t^8.58/(g1*g2^22*y) + (g1*t^8.59)/(g2^32*y) + t^8.72/(g2^18*y) + (g1^2*t^8.73)/(g2^28*y) - t^8.86/(g1*g2^4*y) + (g1*t^8.87)/(g2^14*y) - (g2^10*t^8.99)/(g1^2*y) - (t^3.95*y)/g2^3 - (t^4.91*y)/g2^6 - (g2^5*t^6.*y)/g1 - (g1*t^6.68*y)/g2^26 - (t^6.68*y)/(g1*g2^16) - (t^6.82*y)/g2^12 - (2*g2^2*t^6.95*y)/g1 - (g1*t^6.96*y)/g2^8 - (t^7.63*y)/(g1*g2^19) - (g1*t^7.64*y)/g2^29 + (t^7.76*y)/(g1^2*g2^5) + g2^3*t^8.05*y + (t^8.45*y)/g2^36 + (t^8.58*y)/(g1*g2^22) + (g1*t^8.59*y)/g2^32 + (t^8.72*y)/g2^18 + (g1^2*t^8.73*y)/g2^28 - (t^8.86*y)/(g1*g2^4) + (g1*t^8.87*y)/g2^14 - (g2^10*t^8.99*y)/g1^2 + (t^8.86*y^2)/g2^9 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
57987 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4462 | 1.6337 | 0.8852 | [X:[1.3641], M:[0.9077, 0.9077], q:[0.4701, 0.4701], qb:[0.5299, 0.6222], phi:[0.318]] | 2*t^2.72 + t^2.86 + 2*t^3. + 2*t^3.95 + t^4.09 + 2*t^4.23 + 2*t^4.91 + 4*t^5.18 + 3*t^5.45 + 2*t^5.58 + 4*t^5.72 + 2*t^5.86 - 2*t^6. - t^3.95/y - t^4.91/y - t^3.95*y - t^4.91*y | detail |