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 |
---|---|---|---|---|---|---|---|---|---|
4416 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.663 | 0.838 | 0.7912 | [M:[0.8797, 1.0397, 1.0409, 0.8002, 1.1203, 1.1998, 0.8002, 0.7196], q:[0.7599, 0.3604], qb:[0.4398, 0.5192], phi:[0.4801]] | [M:[[14], [12], [-38], [-10], [-14], [10], [-10], [16]], q:[[3], [-17]], qb:[[7], [31]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.159 + 2*t^2.401 + t^2.639 + t^3.119 + t^3.123 + t^3.361 + t^3.603 + t^3.837 + 2*t^4.079 + 2*t^4.318 + t^4.556 + 2*t^4.56 + t^4.798 + 3*t^4.801 + 2*t^5.04 + 2*t^5.278 + t^5.282 + 3*t^5.52 + t^5.524 + t^5.758 + 2*t^5.762 + t^5.996 - 2*t^6. + 2*t^6.004 + 2*t^6.238 + t^6.242 + t^6.246 + 2*t^6.476 + 3*t^6.48 + t^6.484 + t^6.715 + 4*t^6.718 + t^6.726 + 4*t^6.957 + 2*t^6.96 + t^7.195 + 2*t^7.199 + 3*t^7.202 + t^7.206 + 2*t^7.437 + 4*t^7.44 + t^7.675 + 3*t^7.679 + 2*t^7.682 + 2*t^7.917 + 4*t^7.921 + t^7.924 + t^8.155 + t^8.159 + 2*t^8.163 + t^8.393 + 3*t^8.397 - 4*t^8.401 + 4*t^8.404 + 4*t^8.635 + 2*t^8.643 + t^8.646 + 2*t^8.873 + 2*t^8.877 + 3*t^8.881 + 2*t^8.885 - t^4.44/y - t^6.599/y - t^6.841/y + t^7.318/y + (2*t^7.56)/y - t^7.563/y + t^7.798/y + t^7.801/y + (3*t^8.04)/y + t^8.278/y + (2*t^8.282)/y + (3*t^8.52)/y + (2*t^8.524)/y + (4*t^8.762)/y + t^8.996/y - t^4.44*y - t^6.599*y - t^6.841*y + t^7.318*y + 2*t^7.56*y - t^7.563*y + t^7.798*y + t^7.801*y + 3*t^8.04*y + t^8.278*y + 2*t^8.282*y + 3*t^8.52*y + 2*t^8.524*y + 4*t^8.762*y + t^8.996*y | g1^16*t^2.159 + (2*t^2.401)/g1^10 + g1^14*t^2.639 + g1^12*t^3.119 + t^3.123/g1^38 + t^3.361/g1^14 + t^3.603/g1^40 + g1^34*t^3.837 + 2*g1^8*t^4.079 + 2*g1^32*t^4.318 + g1^56*t^4.556 + 2*g1^6*t^4.56 + g1^30*t^4.798 + (3*t^4.801)/g1^20 + 2*g1^4*t^5.04 + 2*g1^28*t^5.278 + t^5.282/g1^22 + 3*g1^2*t^5.52 + t^5.524/g1^48 + g1^26*t^5.758 + (2*t^5.762)/g1^24 + g1^50*t^5.996 - 2*t^6. + (2*t^6.004)/g1^50 + 2*g1^24*t^6.238 + t^6.242/g1^26 + t^6.246/g1^76 + 2*g1^48*t^6.476 + (3*t^6.48)/g1^2 + t^6.484/g1^52 + g1^72*t^6.715 + 4*g1^22*t^6.718 + t^6.726/g1^78 + 4*g1^46*t^6.957 + (2*t^6.96)/g1^4 + g1^70*t^7.195 + 2*g1^20*t^7.199 + (3*t^7.202)/g1^30 + t^7.206/g1^80 + 2*g1^44*t^7.437 + (4*t^7.44)/g1^6 + g1^68*t^7.675 + 3*g1^18*t^7.679 + (2*t^7.682)/g1^32 + 2*g1^42*t^7.917 + (4*t^7.921)/g1^8 + t^7.924/g1^58 + g1^66*t^8.155 + g1^16*t^8.159 + (2*t^8.163)/g1^34 + g1^90*t^8.393 + 3*g1^40*t^8.397 - (4*t^8.401)/g1^10 + (4*t^8.404)/g1^60 + 4*g1^64*t^8.635 + (2*t^8.643)/g1^36 + t^8.646/g1^86 + 2*g1^88*t^8.873 + 2*g1^38*t^8.877 + (3*t^8.881)/g1^12 + (2*t^8.885)/g1^62 - t^4.44/(g1^6*y) - (g1^10*t^6.599)/y - t^6.841/(g1^16*y) + (g1^32*t^7.318)/y + (2*g1^6*t^7.56)/y - t^7.563/(g1^44*y) + (g1^30*t^7.798)/y + t^7.801/(g1^20*y) + (3*g1^4*t^8.04)/y + (g1^28*t^8.278)/y + (2*t^8.282)/(g1^22*y) + (3*g1^2*t^8.52)/y + (2*t^8.524)/(g1^48*y) + (4*t^8.762)/(g1^24*y) + (g1^50*t^8.996)/y - (t^4.44*y)/g1^6 - g1^10*t^6.599*y - (t^6.841*y)/g1^16 + g1^32*t^7.318*y + 2*g1^6*t^7.56*y - (t^7.563*y)/g1^44 + g1^30*t^7.798*y + (t^7.801*y)/g1^20 + 3*g1^4*t^8.04*y + g1^28*t^8.278*y + (2*t^8.282*y)/g1^22 + 3*g1^2*t^8.52*y + (2*t^8.524*y)/g1^48 + (4*t^8.762*y)/g1^24 + g1^50*t^8.996*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 |
---|---|---|---|---|---|---|---|---|
5919 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.6805 | 0.8706 | 0.7817 | [M:[0.8685, 1.0302, 1.0711, 0.8082, 1.1315, 1.1918, 0.8082, 0.7069, 0.7673], q:[0.7575, 0.3739], qb:[0.4343, 0.4946], phi:[0.4849]] | t^2.121 + t^2.302 + 2*t^2.425 + t^2.606 + t^3.091 + t^3.213 + t^3.394 + t^3.757 + 2*t^4.06 + 2*t^4.241 + 2*t^4.423 + 2*t^4.545 + t^4.604 + 3*t^4.726 + 3*t^4.849 + t^4.907 + 2*t^5.03 + 2*t^5.211 + t^5.334 + t^5.392 + 4*t^5.515 + t^5.638 + 2*t^5.696 + t^5.819 + t^5.877 - 2*t^6. - t^4.455/y - t^4.455*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 |
---|---|---|---|---|---|---|---|---|---|
2391 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}M_{7}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.643 | 0.8005 | 0.8032 | [M:[0.8823, 1.042, 1.0337, 0.7983, 1.1177, 1.2017, 0.7983], q:[0.7605, 0.3572], qb:[0.4412, 0.5251], phi:[0.479]] | 2*t^2.395 + t^2.647 + t^3.101 + t^3.126 + t^3.353 + t^3.58 + t^3.832 + t^3.857 + 2*t^4.084 + t^4.336 + t^4.588 + 3*t^4.79 + 2*t^5.042 + t^5.294 + t^5.496 + 2*t^5.521 + t^5.748 + t^5.773 + 2*t^5.975 - 2*t^6. - t^4.437/y - t^4.437*y | detail |