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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6428 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{2}$ + ${ }M_{7}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6085 | 0.7639 | 0.7965 | [X:[1.42, 1.6133], M:[0.9666, 0.58, 0.3867, 1.16, 0.84, 0.7066, 1.0334, 0.9666, 0.7733], q:[0.7434, 0.29], qb:[0.87, 0.55], phi:[0.3867]] | [X:[[6], [4]], M:[[-10], [-6], [-4], [-12], [12], [-28], [10], [-10], [-8]], q:[[13], [-3]], qb:[[-9], [15]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{6}$, ${ }M_{9}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{6}M_{9}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{9}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{9}$, ${ }M_{5}\phi_{1}^{2}$, ${ }X_{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{9}$, ${ }M_{8}M_{9}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{4}M_{9}$, ${ }M_{4}\phi_{1}^{2}$ | ${}$ | -2 | t^2.12 + 2*t^2.32 + t^2.52 + 2*t^2.9 + t^3.48 + t^4.24 + t^4.26 + 2*t^4.44 + t^4.46 + 4*t^4.64 + 3*t^4.84 + 2*t^5.02 + t^5.04 + 3*t^5.22 + t^5.42 + t^5.6 + 4*t^5.8 - 2*t^6. - t^6.2 + t^6.359 + 2*t^6.38 + 2*t^6.56 + 4*t^6.76 + t^6.78 + 7*t^6.96 + t^6.98 + 2*t^7.14 + 5*t^7.16 + 3*t^7.34 + t^7.36 + 5*t^7.54 + t^7.72 + 2*t^7.74 + 4*t^7.92 - t^7.94 + 3*t^8.12 - t^8.14 - 4*t^8.32 + t^8.479 + 2*t^8.5 - 5*t^8.52 + 2*t^8.679 + 4*t^8.7 - t^8.72 + 4*t^8.88 - 5*t^8.9 + t^8.92 - t^4.16/y - t^6.28/y - (2*t^6.48)/y - t^7.06/y + t^7.26/y + (2*t^7.44)/y + (2*t^7.64)/y + (4*t^7.84)/y + (2*t^8.02)/y + t^8.04/y + (4*t^8.22)/y - t^8.4/y + (2*t^8.42)/y - t^8.6/y - t^4.16*y - t^6.28*y - 2*t^6.48*y - t^7.06*y + t^7.26*y + 2*t^7.44*y + 2*t^7.64*y + 4*t^7.84*y + 2*t^8.02*y + t^8.04*y + 4*t^8.22*y - t^8.4*y + 2*t^8.42*y - t^8.6*y | t^2.12/g1^28 + (2*t^2.32)/g1^8 + g1^12*t^2.52 + (2*t^2.9)/g1^10 + t^3.48/g1^12 + t^4.24/g1^56 + g1^6*t^4.26 + (2*t^4.44)/g1^36 + g1^26*t^4.46 + (4*t^4.64)/g1^16 + 3*g1^4*t^4.84 + (2*t^5.02)/g1^38 + g1^24*t^5.04 + (3*t^5.22)/g1^18 + g1^2*t^5.42 + t^5.6/g1^40 + (4*t^5.8)/g1^20 - 2*t^6. - g1^20*t^6.2 + t^6.359/g1^84 + (2*t^6.38)/g1^22 + (2*t^6.56)/g1^64 + (4*t^6.76)/g1^44 + g1^18*t^6.78 + (7*t^6.96)/g1^24 + g1^38*t^6.98 + (2*t^7.14)/g1^66 + (5*t^7.16)/g1^4 + (3*t^7.34)/g1^46 + g1^16*t^7.36 + (5*t^7.54)/g1^26 + t^7.72/g1^68 + (2*t^7.74)/g1^6 + (4*t^7.92)/g1^48 - g1^14*t^7.94 + (3*t^8.12)/g1^28 - g1^34*t^8.14 - (4*t^8.32)/g1^8 + t^8.479/g1^112 + (2*t^8.5)/g1^50 - 5*g1^12*t^8.52 + (2*t^8.679)/g1^92 + (4*t^8.7)/g1^30 - g1^32*t^8.72 + (4*t^8.88)/g1^72 - (5*t^8.9)/g1^10 + g1^52*t^8.92 - t^4.16/(g1^4*y) - t^6.28/(g1^32*y) - (2*t^6.48)/(g1^12*y) - t^7.06/(g1^14*y) + (g1^6*t^7.26)/y + (2*t^7.44)/(g1^36*y) + (2*t^7.64)/(g1^16*y) + (4*g1^4*t^7.84)/y + (2*t^8.02)/(g1^38*y) + (g1^24*t^8.04)/y + (4*t^8.22)/(g1^18*y) - t^8.4/(g1^60*y) + (2*g1^2*t^8.42)/y - t^8.6/(g1^40*y) - (t^4.16*y)/g1^4 - (t^6.28*y)/g1^32 - (2*t^6.48*y)/g1^12 - (t^7.06*y)/g1^14 + g1^6*t^7.26*y + (2*t^7.44*y)/g1^36 + (2*t^7.64*y)/g1^16 + 4*g1^4*t^7.84*y + (2*t^8.02*y)/g1^38 + g1^24*t^8.04*y + (4*t^8.22*y)/g1^18 - (t^8.4*y)/g1^60 + 2*g1^2*t^8.42*y - (t^8.6*y)/g1^40 |
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 |
---|---|---|---|---|---|---|---|---|---|
4788 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{2}$ + ${ }M_{7}M_{8}$ | 0.5906 | 0.7314 | 0.8075 | [X:[1.4176, 1.6117], M:[0.9707, 0.5824, 0.3883, 1.1649, 0.8351, 0.7181, 1.0293, 0.9707], q:[0.738, 0.2912], qb:[0.8737, 0.5439], phi:[0.3883]] | t^2.154 + t^2.33 + t^2.505 + 2*t^2.912 + t^3.495 + t^3.67 + t^4.253 + t^4.308 + t^4.428 + t^4.484 + 2*t^4.66 + 2*t^4.835 + t^5.011 + 2*t^5.066 + t^5.242 + t^5.418 + t^5.649 + 4*t^5.824 - t^6. - t^4.165/y - t^4.165*y | detail |