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 |
---|---|---|---|---|---|---|---|---|---|
45945 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6129 | 0.79 | 0.7758 | [X:[], M:[0.9693, 0.773], q:[0.7423, 0.2884], qb:[0.4233, 0.4847], phi:[0.5153]] | [X:[], M:[[4], [-3]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.13 + 2*t^2.32 + t^2.72 + t^2.91 + t^3.09 + t^3.28 + t^3.5 + t^3.68 + t^3.87 + t^4.09 + 2*t^4.27 + 3*t^4.45 + 3*t^4.64 + t^4.86 + 3*t^5.04 + 3*t^5.23 + 2*t^5.41 + t^5.45 + t^5.6 + 2*t^5.63 + 3*t^5.82 + t^6. + t^6.18 + 2*t^6.22 + t^6.37 + 4*t^6.4 + t^6.55 + 4*t^6.59 + 4*t^6.77 + t^6.81 + 3*t^6.96 + 3*t^6.99 + 5*t^7.18 + 5*t^7.36 + 3*t^7.55 + 2*t^7.58 + 2*t^7.73 + 5*t^7.77 + t^7.91 + 4*t^7.95 + 2*t^8.13 + 2*t^8.17 - t^8.32 + 4*t^8.36 + 7*t^8.54 + t^8.69 + 5*t^8.72 + t^8.87 + t^8.91 + 2*t^8.94 - t^4.55/y - t^6.87/y + (2*t^7.45)/y + t^7.64/y + t^7.86/y + (3*t^8.04)/y + (4*t^8.23)/y + (3*t^8.41)/y + (2*t^8.6)/y + (2*t^8.63)/y + (4*t^8.82)/y - t^4.55*y - t^6.87*y + 2*t^7.45*y + t^7.64*y + t^7.86*y + 3*t^8.04*y + 4*t^8.23*y + 3*t^8.41*y + 2*t^8.6*y + 2*t^8.63*y + 4*t^8.82*y | g1^5*t^2.13 + (2*t^2.32)/g1^3 + g1^12*t^2.72 + g1^4*t^2.91 + t^3.09/g1^4 + t^3.28/g1^12 + g1^11*t^3.5 + g1^3*t^3.68 + t^3.87/g1^5 + g1^18*t^4.09 + 2*g1^10*t^4.27 + 3*g1^2*t^4.45 + (3*t^4.64)/g1^6 + g1^17*t^4.86 + 3*g1^9*t^5.04 + 3*g1*t^5.23 + (2*t^5.41)/g1^7 + g1^24*t^5.45 + t^5.6/g1^15 + 2*g1^16*t^5.63 + 3*g1^8*t^5.82 + t^6. + t^6.18/g1^8 + 2*g1^23*t^6.22 + t^6.37/g1^16 + 4*g1^15*t^6.4 + t^6.55/g1^24 + 4*g1^7*t^6.59 + (4*t^6.77)/g1 + g1^30*t^6.81 + (3*t^6.96)/g1^9 + 3*g1^22*t^6.99 + 5*g1^14*t^7.18 + 5*g1^6*t^7.36 + (3*t^7.55)/g1^2 + 2*g1^29*t^7.58 + (2*t^7.73)/g1^10 + 5*g1^21*t^7.77 + t^7.91/g1^18 + 4*g1^13*t^7.95 + 2*g1^5*t^8.13 + 2*g1^36*t^8.17 - t^8.32/g1^3 + 4*g1^28*t^8.36 + 7*g1^20*t^8.54 + t^8.69/g1^19 + 5*g1^12*t^8.72 + t^8.87/g1^27 + g1^4*t^8.91 + 2*g1^35*t^8.94 - t^4.55/(g1^2*y) - t^6.87/(g1^5*y) + (2*g1^2*t^7.45)/y + t^7.64/(g1^6*y) + (g1^17*t^7.86)/y + (3*g1^9*t^8.04)/y + (4*g1*t^8.23)/y + (3*t^8.41)/(g1^7*y) + (2*t^8.6)/(g1^15*y) + (2*g1^16*t^8.63)/y + (4*g1^8*t^8.82)/y - (t^4.55*y)/g1^2 - (t^6.87*y)/g1^5 + 2*g1^2*t^7.45*y + (t^7.64*y)/g1^6 + g1^17*t^7.86*y + 3*g1^9*t^8.04*y + 4*g1*t^8.23*y + (3*t^8.41*y)/g1^7 + (2*t^8.6*y)/g1^15 + 2*g1^16*t^8.63*y + 4*g1^8*t^8.82*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 |
---|---|---|---|---|---|---|---|---|
46167 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.6281 | 0.8156 | 0.7701 | [X:[], M:[0.9794, 0.7655, 0.8068], q:[0.7448, 0.2758], qb:[0.4484, 0.4897], phi:[0.5103]] | t^2.17 + 2*t^2.3 + t^2.42 + t^2.81 + t^2.94 + t^3.06 + t^3.19 + t^3.7 + t^3.83 + t^4.22 + 2*t^4.35 + 3*t^4.47 + 4*t^4.59 + 2*t^4.72 + t^4.84 + t^4.99 + 3*t^5.11 + 4*t^5.23 + 3*t^5.36 + 2*t^5.48 + t^5.61 + t^5.63 + t^5.75 + t^5.88 + t^6. - t^4.53/y - t^4.53*y | detail | |
46200 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 0.6309 | 0.822 | 0.7676 | [X:[], M:[0.9715, 0.7714, 0.7714], q:[0.7429, 0.2857], qb:[0.4287, 0.4857], phi:[0.5143]] | t^2.14 + 3*t^2.31 + t^2.74 + t^2.91 + t^3.09 + t^3.26 + t^3.51 + t^3.86 + t^4.11 + 2*t^4.29 + 4*t^4.46 + 6*t^4.63 + t^4.89 + 4*t^5.06 + 4*t^5.23 + 3*t^5.4 + t^5.49 + 2*t^5.57 + 2*t^5.66 + 3*t^5.83 - t^6. - t^4.54/y - t^4.54*y | detail | |
46078 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6066 | 0.7783 | 0.7794 | [X:[], M:[0.9857, 0.7607, 1.043], q:[0.7464, 0.2679], qb:[0.4642, 0.4928], phi:[0.5072]] | t^2.2 + 2*t^2.28 + t^2.96 + t^3.04 + 2*t^3.13 + t^3.63 + t^3.72 + t^3.8 + t^4.31 + 2*t^4.39 + 3*t^4.48 + 3*t^4.56 + t^5.15 + 3*t^5.24 + 3*t^5.33 + 3*t^5.41 + t^5.83 + 2*t^5.91 - t^4.52/y - t^4.52*y | detail | |
46221 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.5493 | 0.711 | 0.7725 | [X:[], M:[1.0588, 0.7059], q:[0.7647, 0.1765], qb:[0.6471, 0.5294], phi:[0.4706]] | 2*t^2.12 + 2*t^2.47 + t^2.82 + t^3.18 + 2*t^3.53 + t^3.88 + 4*t^4.24 + 4*t^4.59 + 5*t^4.94 + 5*t^5.29 + 4*t^5.65 + 2*t^6. - t^4.41/y - t^4.41*y | detail | {a: 5397/9826, c: 13973/19652, M1: 18/17, M2: 12/17, q1: 13/17, q2: 3/17, qb1: 11/17, qb2: 9/17, phi1: 8/17} |
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 |
---|---|---|---|---|---|---|---|---|---|
45920 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6172 | 0.7998 | 0.7717 | [X:[], M:[0.9566, 0.7306], q:[0.7392, 0.3042], qb:[0.4435, 0.4264], phi:[0.5217]] | 2*t^2.19 + t^2.24 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.5 + t^3.55 + t^3.76 + t^4.12 + t^4.17 + t^4.23 + 3*t^4.38 + 2*t^4.43 + t^4.49 + 2*t^4.8 + t^4.85 + 2*t^5.06 + t^5.11 + t^5.22 + 2*t^5.32 + t^5.37 + t^5.48 + t^5.58 + 2*t^5.69 + 4*t^5.74 + t^5.79 + t^5.95 - t^6. - t^4.57/y - t^4.57*y | detail |