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 |
---|---|---|---|---|---|---|---|---|---|
57322 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.0952 | 1.1953 | 0.9163 | [X:[1.5424], M:[1.1441], q:[0.8856, 0.4181], qb:[0.8856, 0.4379], phi:[0.2288]] | [X:[[0, 2]], M:[[0, -5]], q:[[-1, 1], [0, 4]], qb:[[1, 0], [0, 1]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{2}$ | -1 | t^2.059 + t^3.254 + t^3.432 + t^3.911 + t^3.941 + t^3.97 + t^4.119 + t^4.627 + 2*t^5.314 + t^5.492 + t^5.822 + t^5.852 + t^5.97 - t^6. + t^6.178 + t^6.508 + t^6.686 + t^6.864 + t^7.165 + t^7.195 + t^7.225 + 2*t^7.373 + t^7.551 + t^7.822 + t^7.852 + 2*t^7.881 + t^7.911 + t^7.941 + t^8.059 + t^8.237 + t^8.538 + t^8.568 - t^8.716 + t^8.924 + t^8.059/y^2 - t^8.746/y^2 - t^3.686/y - t^4.373/y - t^5.746/y - t^6.432/y - t^7.119/y - t^7.597/y - t^7.627/y - t^7.657/y - (2*t^7.805)/y + t^8.314/y + t^8.97/y - t^3.686*y - t^4.373*y - t^5.746*y - t^6.432*y - t^7.119*y - t^7.597*y - t^7.627*y - t^7.657*y - 2*t^7.805*y + t^8.314*y + t^8.97*y + t^8.059*y^2 - t^8.746*y^2 | t^2.059/g2^3 + g2^4*t^3.254 + t^3.432/g2^5 + g1*g2^4*t^3.911 + g2^3*t^3.941 + (g2^2*t^3.97)/g1 + t^4.119/g2^6 + g2^2*t^4.627 + 2*g2*t^5.314 + t^5.492/g2^8 + g2^9*t^5.822 + (g2^8*t^5.852)/g1 + g1*g2*t^5.97 - t^6. + t^6.178/g2^9 + g2^8*t^6.508 + t^6.686/g2 + t^6.864/g2^10 + g1*g2^8*t^7.165 + g2^7*t^7.195 + (g2^6*t^7.225)/g1 + (2*t^7.373)/g2^2 + t^7.551/g2^11 + g1^2*g2^8*t^7.822 + g1*g2^7*t^7.852 + 2*g2^6*t^7.881 + (g2^5*t^7.911)/g1 + (g2^4*t^7.941)/g1^2 + t^8.059/g2^3 + t^8.237/g2^12 + g1*g2^6*t^8.538 + g2^5*t^8.568 - (g1*t^8.716)/g2^3 + t^8.924/g2^13 + t^8.059/(g2^3*y^2) - t^8.746/(g2^4*y^2) - t^3.686/(g2*y) - t^4.373/(g2^2*y) - t^5.746/(g2^4*y) - t^6.432/(g2^5*y) - t^7.119/(g2^6*y) - (g1*g2^3*t^7.597)/y - (g2^2*t^7.627)/y - (g2*t^7.657)/(g1*y) - (2*t^7.805)/(g2^7*y) + (g2*t^8.314)/y + (g1*g2*t^8.97)/y - (t^3.686*y)/g2 - (t^4.373*y)/g2^2 - (t^5.746*y)/g2^4 - (t^6.432*y)/g2^5 - (t^7.119*y)/g2^6 - g1*g2^3*t^7.597*y - g2^2*t^7.627*y - (g2*t^7.657*y)/g1 - (2*t^7.805*y)/g2^7 + g2*t^8.314*y + g1*g2*t^8.97*y + (t^8.059*y^2)/g2^3 - (t^8.746*y^2)/g2^4 |
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 |
---|---|---|---|---|---|---|---|---|
58036 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.0836 | 1.193 | 0.9083 | [X:[1.5], M:[1.25], q:[0.875, 0.3333], qb:[0.875, 0.4167], phi:[0.25]] | t^2.25 + t^3. + t^3.62 + 2*t^3.75 + t^3.88 + 2*t^4.5 + 3*t^5.25 + t^5.38 + t^5.88 + t^6. - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 8877/8192, c: 9773/8192, X1: 3/2, M1: 5/4, q1: 7/8, q2: 1/3, qb1: 7/8, qb2: 5/12, phi1: 1/4} |
58041 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.116 | 1.2355 | 0.9032 | [X:[1.5435], M:[1.1412, 0.6847], q:[0.8859, 0.4204], qb:[0.8859, 0.4384], phi:[0.2282]] | 2*t^2.05 + t^3.26 + t^3.42 + t^3.92 + t^3.97 + 3*t^4.11 + t^4.63 + 3*t^5.32 + 2*t^5.48 + t^5.84 + t^5.86 + 2*t^5.97 - 2*t^6. - t^3.68/y - t^4.37/y - (2*t^5.74)/y - t^3.68*y - t^4.37*y - 2*t^5.74*y | detail | |
58042 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.1161 | 1.2365 | 0.9026 | [X:[1.5426], M:[1.1435, 0.6732], q:[0.8888, 0.4185], qb:[0.8825, 0.438], phi:[0.2287]] | t^2.02 + t^2.06 + t^3.26 + t^3.43 + t^3.9 + t^3.94 + t^4.04 + t^4.08 + t^4.12 + t^4.63 + t^5.28 + 2*t^5.31 + t^5.45 + t^5.49 + t^5.82 + t^5.86 + t^5.92 + 2*t^5.96 - t^6. - t^3.69/y - t^4.37/y - t^5.71/y - t^5.74/y - t^3.69*y - t^4.37*y - t^5.71*y - t^5.74*y | detail | |
58040 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.1159 | 1.2354 | 0.9033 | [X:[1.5441], M:[1.1398, 0.6842], q:[0.8777, 0.4215], qb:[0.8943, 0.4387], phi:[0.228]] | 2*t^2.05 + t^3.26 + t^3.42 + 2*t^3.95 + 2*t^4.1 + t^4.11 + t^4.63 + 3*t^5.32 + 2*t^5.47 + t^5.84 + t^5.85 + t^6. - t^3.68/y - t^4.37/y - (2*t^5.74)/y - t^3.68*y - t^4.37*y - 2*t^5.74*y | detail | |
58038 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.0946 | 1.1931 | 0.9174 | [X:[1.5498], M:[1.1256], q:[0.9092, 0.4328], qb:[0.8657, 0.4415], phi:[0.2251]] | t^2.03 + t^3.3 + t^3.38 + t^3.9 + t^3.97 + 2*t^4.05 + t^4.65 + 2*t^5.32 + t^5.4 + 2*t^5.92 - 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 | |
58035 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.8564 | 0.9107 | 0.9404 | [X:[1.6262, 1.4394], M:[0.9344], q:[1.5202, 0.5858], qb:[0.2929, 0.4798], phi:[0.1869]] | t^2.64 + t^2.8 + t^3.76 + 2*t^4.32 + t^4.88 + t^5.27 + t^5.44 + t^5.61 - 2*t^6. - t^3.56/y - t^4.12/y - t^3.56*y - t^4.12*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 |
---|---|---|---|---|---|---|---|---|---|
47880 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | 1.1092 | 1.2232 | 0.9068 | [X:[1.5292], q:[0.8823, 0.3918], qb:[0.8823, 0.4313], phi:[0.2354]] | t^2.118 + t^2.469 + t^3.175 + t^3.822 + t^3.882 + t^3.941 + t^4.237 + 2*t^4.588 + t^4.939 + 2*t^5.294 + 2*t^5.645 + t^5.704 + t^5.941 - t^6. - t^3.706/y - t^4.412/y - t^5.825/y - t^3.706*y - t^4.412*y - t^5.825*y | detail |