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 |
---|---|---|---|---|---|---|---|---|---|
57738 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 0.8355 | 0.9209 | 0.9072 | [X:[1.5442, 1.3674], M:[], q:[0.6837, 0.4047], qb:[0.2279, 1.3163], phi:[0.2279]] | [X:[[-2], [6]], M:[], q:[[3], [-7]], qb:[[1], [-3]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{2}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.05 + t^2.58 + t^3.27 + 3*t^4.1 + 2*t^4.63 + t^5.16 + t^5.32 + t^5.69 + t^5.85 - 2*t^6. + 3*t^6.15 + t^6.53 + 3*t^6.68 - t^6.84 + t^7.21 + 3*t^7.37 - t^7.52 + 2*t^7.74 + t^7.9 - 2*t^8.05 + 5*t^8.2 + t^8.28 - 2*t^8.58 + 3*t^8.73 - t^8.89 + t^8.96 + t^8.05/y^2 - t^8.73/y^2 - t^3.68/y - t^4.37/y - t^5.73/y - t^6.42/y - t^6.95/y + t^7.63/y - (2*t^7.79)/y + t^8.32/y - (2*t^8.47)/y + t^8.85/y - t^3.68*y - t^4.37*y - t^5.73*y - t^6.42*y - t^6.95*y + t^7.63*y - 2*t^7.79*y + t^8.32*y - 2*t^8.47*y + t^8.85*y + t^8.05*y^2 - t^8.73*y^2 | g1^3*t^2.05 + t^2.58/g1^5 + t^3.27/g1^4 + 3*g1^6*t^4.1 + (2*t^4.63)/g1^2 + t^5.16/g1^10 + t^5.32/g1 + t^5.69/g1^18 + t^5.85/g1^9 - 2*t^6. + 3*g1^9*t^6.15 + t^6.53/g1^8 + 3*g1*t^6.68 - g1^10*t^6.84 + t^7.21/g1^7 + 3*g1^2*t^7.37 - g1^11*t^7.52 + (2*t^7.74)/g1^15 + t^7.9/g1^6 - 2*g1^3*t^8.05 + 5*g1^12*t^8.2 + t^8.28/g1^23 - (2*t^8.58)/g1^5 + 3*g1^4*t^8.73 - g1^13*t^8.89 + t^8.96/g1^22 + (g1^3*t^8.05)/y^2 - (g1^4*t^8.73)/y^2 - (g1*t^3.68)/y - (g1^2*t^4.37)/y - (g1^4*t^5.73)/y - (g1^5*t^6.42)/y - t^6.95/(g1^3*y) + t^7.63/(g1^2*y) - (2*g1^7*t^7.79)/y + t^8.32/(g1*y) - (2*g1^8*t^8.47)/y + t^8.85/(g1^9*y) - g1*t^3.68*y - g1^2*t^4.37*y - g1^4*t^5.73*y - g1^5*t^6.42*y - (t^6.95*y)/g1^3 + (t^7.63*y)/g1^2 - 2*g1^7*t^7.79*y + (t^8.32*y)/g1 - 2*g1^8*t^8.47*y + (t^8.85*y)/g1^9 + g1^3*t^8.05*y^2 - g1^4*t^8.73*y^2 |
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 |
---|---|---|---|---|---|---|---|---|
60649 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.844 | 0.9347 | 0.903 | [X:[1.5493, 1.3521], M:[0.9014], q:[0.676, 0.4226], qb:[0.2253, 1.324], phi:[0.2253]] | t^2.03 + t^2.62 + t^2.7 + 3*t^4.06 + 2*t^4.65 + t^4.73 + t^5.24 + t^5.32 + t^5.41 + t^5.83 - 2*t^6. - t^3.68/y - t^4.35/y - t^5.7/y - t^3.68*y - t^4.35*y - t^5.7*y | detail | |
60687 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{3}$ | 0.768 | 0.818 | 0.9389 | [X:[1.6, 1.2, 1.4], M:[], q:[0.6, 0.6], qb:[0.2, 1.4], phi:[0.2]] | t^3. + 3*t^3.6 + t^4.2 + t^4.8 - 2*t^6. - t^3.6/y - t^4.2/y - t^3.6*y - t^4.2*y | detail | {a: 96/125, c: 409/500, X1: 8/5, X2: 6/5, X3: 7/5, q1: 3/5, q2: 3/5, qb1: 1/5, qb2: 7/5, phi1: 1/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
47953 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4221 | 1.5818 | 0.899 | [X:[1.4074], q:[0.5926, 0.5185], qb:[0.5926, 0.5185], phi:[0.2963]] | t^2.667 + t^3.111 + 2*t^3.333 + t^3.556 + t^4. + 3*t^4.222 + t^4.444 + t^4.889 + 2*t^5.111 + 2*t^5.333 + t^5.778 - t^3.889/y - t^4.778/y - t^3.889*y - t^4.778*y | detail | {a: 1843/1296, c: 1025/648, X1: 38/27, q1: 16/27, q2: 14/27, qb1: 16/27, qb2: 14/27, phi1: 8/27} |