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 |
---|---|---|---|---|---|---|---|---|---|
57677 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ | 1.0489 | 1.175 | 0.8926 | [X:[1.4969], M:[], q:[0.7505, 0.2474], qb:[0.998, 0.4949], phi:[0.2515]] | [X:[[6]], M:[], q:[[-1], [5]], qb:[[4], [10]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -2 | t^2.23 + t^2.26 + t^2.98 + 3*t^3.74 + t^4.45 + 4*t^4.49 + t^4.53 + t^5.21 + 2*t^5.25 + 4*t^5.96 - 2*t^6. + t^6.68 + 9*t^6.72 + t^6.75 + t^6.79 + t^7.44 + 10*t^7.47 - 3*t^7.51 + 4*t^8.19 + 6*t^8.23 - 2*t^8.26 + t^8.91 + 10*t^8.94 + t^8.26/y^2 - t^8.98/y^2 - t^3.75/y - t^4.51/y - t^5.98/y - t^6.02/y - t^6.74/y - t^6.77/y - (2*t^7.49)/y - t^8.28/y + (2*t^8.96)/y - t^3.75*y - t^4.51*y - t^5.98*y - t^6.02*y - t^6.74*y - t^6.77*y - 2*t^7.49*y - t^8.28*y + 2*t^8.96*y + t^8.26*y^2 - t^8.98*y^2 | g1^15*t^2.23 + t^2.26/g1^9 + g1^12*t^2.98 + 3*g1^9*t^3.74 + g1^30*t^4.45 + 4*g1^6*t^4.49 + t^4.53/g1^18 + g1^27*t^5.21 + 2*g1^3*t^5.25 + 4*g1^24*t^5.96 - 2*t^6. + g1^45*t^6.68 + 9*g1^21*t^6.72 + t^6.75/g1^3 + t^6.79/g1^27 + g1^42*t^7.44 + 10*g1^18*t^7.47 - (3*t^7.51)/g1^6 + 4*g1^39*t^8.19 + 6*g1^15*t^8.23 - (2*t^8.26)/g1^9 + g1^60*t^8.91 + 10*g1^36*t^8.94 + t^8.26/(g1^9*y^2) - (g1^12*t^8.98)/y^2 - t^3.75/(g1^3*y) - t^4.51/(g1^6*y) - (g1^12*t^5.98)/y - t^6.02/(g1^12*y) - (g1^9*t^6.74)/y - t^6.77/(g1^15*y) - (2*g1^6*t^7.49)/y - t^8.28/(g1^21*y) + (2*g1^24*t^8.96)/y - (t^3.75*y)/g1^3 - (t^4.51*y)/g1^6 - g1^12*t^5.98*y - (t^6.02*y)/g1^12 - g1^9*t^6.74*y - (t^6.77*y)/g1^15 - 2*g1^6*t^7.49*y - (t^8.28*y)/g1^21 + 2*g1^24*t^8.96*y + (t^8.26*y^2)/g1^9 - g1^12*t^8.98*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 |
---|---|---|---|---|---|---|---|---|
58840 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.0499 | 1.1715 | 0.8962 | [X:[1.5135], M:[0.973], q:[0.7478, 0.2612], qb:[1.009, 0.5225], phi:[0.2433]] | t^2.19 + t^2.35 + t^2.92 + 3*t^3.81 + t^4.38 + 4*t^4.54 + t^4.7 + t^5.11 + 2*t^5.27 + t^5.84 - 2*t^6. - t^3.73/y - t^4.46/y - t^5.92/y - t^3.73*y - t^4.46*y - t^5.92*y | detail | |
59600 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.0302 | 1.1439 | 0.9006 | [X:[1.4909], M:[1.2363], q:[0.7515, 0.2424], qb:[0.9939, 0.4848], phi:[0.2546]] | t^2.18 + t^2.95 + 4*t^3.71 + t^4.36 + 3*t^4.47 + t^5.13 + t^5.24 + 5*t^5.89 - 5*t^6. - t^3.76/y - t^4.53/y - t^5.95/y - t^3.76*y - t^4.53*y - t^5.95*y | detail | |
60777 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0093 | 1.0926 | 0.9237 | [X:[1.5556, 1.3333], M:[], q:[0.7407, 0.2963], qb:[1.037, 0.5926], phi:[0.2222]] | t^2.67 + t^3.33 + 4*t^4. + 3*t^4.67 + 2*t^5.33 - 4*t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 109/108, c: 59/54, X1: 14/9, X2: 4/3, q1: 20/27, q2: 8/27, qb1: 28/27, qb2: 16/27, phi1: 2/9} |
60624 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9735 | 1.036 | 0.9397 | [X:[1.6, 1.4], M:[], q:[0.7333, 0.3333], qb:[1.0667, 0.6667], phi:[0.2]] | t^3. + t^3.6 + 4*t^4.2 + 3*t^4.8 + t^5.4 - 4*t^6. - t^3.6/y - t^4.2/y - t^3.6*y - t^4.2*y | detail | {a: 1947/2000, c: 259/250, X1: 8/5, X2: 7/5, q1: 11/15, q2: 1/3, qb1: 16/15, qb2: 2/3, 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 |
---|---|---|---|---|---|---|---|---|---|
47940 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 1.4418 | 1.621 | 0.8894 | [X:[1.3555], q:[0.5678, 0.5422], qb:[0.491, 0.4654], phi:[0.3223]] | t^2.9 + t^3.023 + 2*t^3.1 + t^3.176 + t^3.99 + 3*t^4.066 + t^4.143 + t^4.956 + 2*t^5.033 + t^5.11 + t^5.232 + t^5.309 + t^5.801 - t^6. - t^3.967/y - t^4.934/y - t^3.967*y - t^4.934*y | detail |