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 |
---|---|---|---|---|---|---|---|---|---|
59411 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}^{3}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.2002 | 1.4178 | 0.8465 | [X:[1.4819], M:[0.741], q:[0.8143, 0.2962], qb:[0.4448, 0.2219], phi:[0.3705]] | [X:[[4]], M:[[2]], q:[[-5], [-1]], qb:[[3], [-3]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{5}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ 2}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 6 | 3*t^2.22 + t^2.67 + t^3.11 + 2*t^3.33 + 2*t^3.78 + t^4.22 + 8*t^4.45 + 5*t^4.89 + 6*t^5.33 + 5*t^5.56 + t^5.77 + 6*t^6. + t^6.22 + 6*t^6.44 + 16*t^6.67 + 4*t^6.89 + 11*t^7.11 + t^7.33 + 17*t^7.55 + 11*t^7.78 + 8*t^8. + 11*t^8.22 + 7*t^8.44 + 12*t^8.67 + t^8.88 + 27*t^8.89 - t^4.11/y - t^5.22/y - (3*t^6.33)/y - t^7.22/y - t^7.45/y + (3*t^7.89)/y + (2*t^8.33)/y - (2*t^8.56)/y + t^8.77/y - t^4.11*y - t^5.22*y - 3*t^6.33*y - t^7.22*y - t^7.45*y + 3*t^7.89*y + 2*t^8.33*y - 2*t^8.56*y + t^8.77*y | 3*g1^2*t^2.22 + t^2.67/g1^3 + t^3.11/g1^8 + 2*g1^3*t^3.33 + (2*t^3.78)/g1^2 + t^4.22/g1^7 + 8*g1^4*t^4.45 + (5*t^4.89)/g1 + (6*t^5.33)/g1^6 + 5*g1^5*t^5.56 + t^5.77/g1^11 + 6*t^6. + t^6.22/g1^16 + (6*t^6.44)/g1^5 + 16*g1^6*t^6.67 + (4*t^6.89)/g1^10 + 11*g1*t^7.11 + t^7.33/g1^15 + (17*t^7.55)/g1^4 + 11*g1^7*t^7.78 + (8*t^8.)/g1^9 + 11*g1^2*t^8.22 + (7*t^8.44)/g1^14 + (12*t^8.67)/g1^3 + t^8.88/g1^19 + 27*g1^8*t^8.89 - (g1*t^4.11)/y - (g1^2*t^5.22)/y - (3*g1^3*t^6.33)/y - t^7.22/(g1^7*y) - (g1^4*t^7.45)/y + (3*t^7.89)/(g1*y) + (2*t^8.33)/(g1^6*y) - (2*g1^5*t^8.56)/y + t^8.77/(g1^11*y) - g1*t^4.11*y - g1^2*t^5.22*y - 3*g1^3*t^6.33*y - (t^7.22*y)/g1^7 - g1^4*t^7.45*y + (3*t^7.89*y)/g1 + (2*t^8.33*y)/g1^6 - 2*g1^5*t^8.56*y + (t^8.77*y)/g1^11 |
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 |
---|---|---|---|---|---|---|---|---|
61061 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}^{3}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.2106 | 1.4365 | 0.8428 | [X:[1.4933], M:[0.7467, 0.88], q:[0.8, 0.2933], qb:[0.4533, 0.2133], phi:[0.3733]] | 3*t^2.24 + 2*t^2.64 + t^3.04 + t^3.36 + 2*t^3.76 + t^4.16 + 8*t^4.48 + 8*t^4.88 + 8*t^5.28 + 2*t^5.6 + 2*t^5.68 + 6*t^6. - t^4.12/y - t^5.24/y - t^4.12*y - t^5.24*y | detail | {a: 36319/30000, c: 21547/15000, X1: 112/75, M1: 56/75, M2: 22/25, q1: 4/5, q2: 22/75, qb1: 34/75, qb2: 16/75, phi1: 28/75} |
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 |
---|---|---|---|---|---|---|---|---|---|
57589 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}^{3}$ | 1.1809 | 1.3826 | 0.8541 | [X:[1.4855], M:[], q:[0.8098, 0.2953], qb:[0.4474, 0.2192], phi:[0.3714]] | 2*t^2.23 + t^2.66 + t^3.09 + 2*t^3.34 + 3*t^3.77 + t^4.2 + 5*t^4.46 + 4*t^4.89 + 5*t^5.32 + 3*t^5.57 + t^5.74 + 6*t^6. - t^4.11/y - t^5.23/y - t^4.11*y - t^5.23*y | detail |