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 |
---|---|---|---|---|---|---|---|---|---|
3413 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7011 | 0.9007 | 0.7784 | [M:[0.8329, 1.0557, 1.1671, 0.7214, 0.7214, 0.6686], q:[0.4032, 0.7639], qb:[0.4296, 0.5146], phi:[0.4721]] | [M:[[-12], [4], [12], [-20], [-20], [48]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | t^2.006 + 2*t^2.164 + t^2.499 + t^2.754 + t^2.833 + t^3.167 + t^3.501 + t^3.581 + t^3.915 + t^4.011 + 3*t^4.17 + t^4.249 + 3*t^4.329 + 2*t^4.504 + 2*t^4.663 + t^4.759 + t^4.839 + 2*t^4.918 + 3*t^4.997 + t^5.173 + t^5.252 + 3*t^5.331 + 2*t^5.507 + 2*t^5.586 + 3*t^5.666 + t^5.745 + t^5.921 - t^6. + t^6.017 + 2*t^6.079 + 3*t^6.176 + t^6.255 + 5*t^6.334 + 3*t^6.414 + 4*t^6.493 + 2*t^6.51 + 5*t^6.669 + t^6.748 + t^6.765 + 3*t^6.827 + t^6.844 + 3*t^6.924 + 4*t^7.003 + 3*t^7.082 + 4*t^7.161 + t^7.179 + 2*t^7.258 + 3*t^7.337 + 5*t^7.496 + 2*t^7.513 + 2*t^7.592 + 4*t^7.671 + 3*t^7.751 + 6*t^7.83 + t^7.909 + t^7.926 + t^8.023 + 2*t^8.085 - 2*t^8.164 + 3*t^8.181 + 2*t^8.244 + 2*t^8.261 + 6*t^8.34 + 3*t^8.419 + 5*t^8.499 + 2*t^8.516 + 4*t^8.578 + 5*t^8.657 + 6*t^8.674 - t^8.754 + t^8.771 + 4*t^8.833 + t^8.85 + 2*t^8.912 + 3*t^8.929 + 4*t^8.991 - t^4.416/y - t^6.422/y - (2*t^6.581)/y + (2*t^7.17)/y + t^7.329/y + t^7.504/y + (2*t^7.663)/y + t^7.759/y + t^7.839/y + (2*t^7.918)/y + (2*t^7.997)/y + t^8.173/y + (3*t^8.252)/y + (3*t^8.331)/y + t^8.411/y - t^8.428/y + t^8.507/y + (3*t^8.666)/y - t^8.745/y + (2*t^8.921)/y - t^4.416*y - t^6.422*y - 2*t^6.581*y + 2*t^7.17*y + t^7.329*y + t^7.504*y + 2*t^7.663*y + t^7.759*y + t^7.839*y + 2*t^7.918*y + 2*t^7.997*y + t^8.173*y + 3*t^8.252*y + 3*t^8.331*y + t^8.411*y - t^8.428*y + t^8.507*y + 3*t^8.666*y - t^8.745*y + 2*t^8.921*y | g1^48*t^2.006 + (2*t^2.164)/g1^20 + t^2.499/g1^12 + g1^30*t^2.754 + t^2.833/g1^4 + g1^4*t^3.167 + g1^12*t^3.501 + t^3.581/g1^22 + t^3.915/g1^14 + g1^96*t^4.011 + 3*g1^28*t^4.17 + t^4.249/g1^6 + (3*t^4.329)/g1^40 + 2*g1^36*t^4.504 + (2*t^4.663)/g1^32 + g1^78*t^4.759 + g1^44*t^4.839 + 2*g1^10*t^4.918 + (3*t^4.997)/g1^24 + g1^52*t^5.173 + g1^18*t^5.252 + (3*t^5.331)/g1^16 + 2*g1^60*t^5.507 + 2*g1^26*t^5.586 + (3*t^5.666)/g1^8 + t^5.745/g1^42 + g1^34*t^5.921 - t^6. + g1^144*t^6.017 + (2*t^6.079)/g1^34 + 3*g1^76*t^6.176 + g1^42*t^6.255 + 5*g1^8*t^6.334 + (3*t^6.414)/g1^26 + (4*t^6.493)/g1^60 + 2*g1^84*t^6.51 + 5*g1^16*t^6.669 + t^6.748/g1^18 + g1^126*t^6.765 + (3*t^6.827)/g1^52 + g1^92*t^6.844 + 3*g1^58*t^6.924 + 4*g1^24*t^7.003 + (3*t^7.082)/g1^10 + (4*t^7.161)/g1^44 + g1^100*t^7.179 + 2*g1^66*t^7.258 + 3*g1^32*t^7.337 + (5*t^7.496)/g1^36 + 2*g1^108*t^7.513 + 2*g1^74*t^7.592 + 4*g1^40*t^7.671 + 3*g1^6*t^7.751 + (6*t^7.83)/g1^28 + t^7.909/g1^62 + g1^82*t^7.926 + g1^192*t^8.023 + 2*g1^14*t^8.085 - (2*t^8.164)/g1^20 + 3*g1^124*t^8.181 + (2*t^8.244)/g1^54 + 2*g1^90*t^8.261 + 6*g1^56*t^8.34 + 3*g1^22*t^8.419 + (5*t^8.499)/g1^12 + 2*g1^132*t^8.516 + (4*t^8.578)/g1^46 + (5*t^8.657)/g1^80 + 6*g1^64*t^8.674 - g1^30*t^8.754 + g1^174*t^8.771 + (4*t^8.833)/g1^4 + g1^140*t^8.85 + (2*t^8.912)/g1^38 + 3*g1^106*t^8.929 + (4*t^8.991)/g1^72 - t^4.416/(g1^2*y) - (g1^46*t^6.422)/y - (2*t^6.581)/(g1^22*y) + (2*g1^28*t^7.17)/y + t^7.329/(g1^40*y) + (g1^36*t^7.504)/y + (2*t^7.663)/(g1^32*y) + (g1^78*t^7.759)/y + (g1^44*t^7.839)/y + (2*g1^10*t^7.918)/y + (2*t^7.997)/(g1^24*y) + (g1^52*t^8.173)/y + (3*g1^18*t^8.252)/y + (3*t^8.331)/(g1^16*y) + t^8.411/(g1^50*y) - (g1^94*t^8.428)/y + (g1^60*t^8.507)/y + (3*t^8.666)/(g1^8*y) - t^8.745/(g1^42*y) + (2*g1^34*t^8.921)/y - (t^4.416*y)/g1^2 - g1^46*t^6.422*y - (2*t^6.581*y)/g1^22 + 2*g1^28*t^7.17*y + (t^7.329*y)/g1^40 + g1^36*t^7.504*y + (2*t^7.663*y)/g1^32 + g1^78*t^7.759*y + g1^44*t^7.839*y + 2*g1^10*t^7.918*y + (2*t^7.997*y)/g1^24 + g1^52*t^8.173*y + 3*g1^18*t^8.252*y + (3*t^8.331*y)/g1^16 + (t^8.411*y)/g1^50 - g1^94*t^8.428*y + g1^60*t^8.507*y + (3*t^8.666*y)/g1^8 - (t^8.745*y)/g1^42 + 2*g1^34*t^8.921*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 |
---|---|---|---|---|---|---|---|---|
3901 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.7063 | 0.9092 | 0.7768 | [M:[0.8316, 1.0561, 1.1684, 0.7194, 0.7194, 0.6735, 0.9439], q:[0.4044, 0.764], qb:[0.4273, 0.5166], phi:[0.4719]] | t^2.021 + 2*t^2.158 + t^2.495 + t^2.763 + 2*t^2.832 + t^3.505 + t^3.574 + t^3.911 + t^4.041 + 3*t^4.179 + t^4.247 + 3*t^4.316 + 2*t^4.515 + 2*t^4.653 + t^4.783 + 2*t^4.852 + 2*t^4.921 + 5*t^4.99 + t^5.258 + 2*t^5.326 + 2*t^5.526 + 3*t^5.594 + 4*t^5.663 + t^5.732 - 2*t^6. - t^4.416/y - t^4.416*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 |
---|---|---|---|---|---|---|---|---|---|
2850 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6802 | 0.8591 | 0.7917 | [M:[0.8326, 1.0558, 1.1674, 0.721, 0.721], q:[0.4035, 0.764], qb:[0.4291, 0.5151], phi:[0.4721]] | 2*t^2.163 + t^2.498 + t^2.756 + t^2.833 + t^3.167 + t^3.502 + t^3.579 + t^3.914 + t^3.991 + t^4.172 + t^4.249 + 3*t^4.326 + t^4.507 + 2*t^4.661 + 2*t^4.919 + 3*t^4.996 + t^5.253 + 3*t^5.33 + t^5.511 + t^5.588 + 3*t^5.665 + t^5.742 - t^6. - t^4.416/y - t^4.416*y | detail |