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 |
---|---|---|---|---|---|---|---|---|---|
57669 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | 1.0713 | 1.1747 | 0.912 | [X:[1.5273], M:[1.1816], q:[0.4287, 1.0767], qb:[0.3897, 0.687], phi:[0.2363]] | [X:[[0, 2]], M:[[0, -5]], q:[[2, 4], [-1, 1]], qb:[[-2, 1], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}^{3}$ | ${}\phi_{1}^{5}q_{1}\tilde{q}_{1}$ | -2 | t^2.13 + t^3.16 + t^3.35 + t^3.54 + t^3.87 + t^4.25 + t^4.4 + t^4.58 + t^5.11 + 2*t^5.29 + t^5.63 + t^5.67 + t^5.98 - 2*t^6. + t^6.33 + t^6.38 + 2*t^6.51 + t^6.69 + t^6.71 + t^7.04 + t^7.09 + t^7.22 + 2*t^7.42 + t^7.56 + 2*t^7.75 + t^7.8 + t^7.93 - t^7.94 + t^8.13 + 2*t^8.27 + 3*t^8.46 - t^8.47 + t^8.51 + 2*t^8.8 - t^8.82 + t^8.84 + 2*t^8.98 + t^8.13/y^2 - t^8.84/y^2 - t^3.71/y - t^4.42/y - t^5.84/y - t^6.54/y - t^7.06/y - t^7.25/y - t^7.58/y - (2*t^7.96)/y - t^8.11/y + t^8.29/y + t^8.47/y - t^3.71*y - t^4.42*y - t^5.84*y - t^6.54*y - t^7.06*y - t^7.25*y - t^7.58*y - 2*t^7.96*y - t^8.11*y + t^8.29*y + t^8.47*y + t^8.13*y^2 - t^8.84*y^2 | t^2.13/g2^3 + g2^4*t^3.16 + g1^3*g2^4*t^3.35 + t^3.54/g2^5 + g2^3*t^3.87 + t^4.25/g2^6 + (g2^2*t^4.4)/g1^3 + g2^2*t^4.58 + (g2*t^5.11)/g1^3 + 2*g2*t^5.29 + t^5.63/g1^6 + t^5.67/g2^8 + g1^6*g2^9*t^5.98 - 2*t^6. + g2^8*t^6.33 + t^6.38/g2^9 + 2*g1^3*g2^8*t^6.51 + g1^6*g2^8*t^6.69 + t^6.71/g2 + g2^7*t^7.04 + t^7.09/g2^10 + g1^3*g2^7*t^7.22 + (2*t^7.42)/g2^2 + (g2^6*t^7.56)/g1^3 + 2*g2^6*t^7.75 + t^7.8/g2^11 + g1^3*g2^6*t^7.93 - t^7.94/(g1^3*g2^3) + t^8.13/g2^3 + (2*g2^5*t^8.27)/g1^3 + 3*g2^5*t^8.46 - t^8.47/(g1^6*g2^4) + t^8.51/g2^12 + (2*g2^4*t^8.8)/g1^6 - g1^6*g2^5*t^8.82 + t^8.84/g2^4 + (2*g2^4*t^8.98)/g1^3 + t^8.13/(g2^3*y^2) - t^8.84/(g2^4*y^2) - t^3.71/(g2*y) - t^4.42/(g2^2*y) - t^5.84/(g2^4*y) - t^6.54/(g2^5*y) - (g1^3*g2^3*t^7.06)/y - t^7.25/(g2^6*y) - (g2^2*t^7.58)/y - (2*t^7.96)/(g2^7*y) - (g2*t^8.11)/(g1^3*y) + (g2*t^8.29)/y + (g1^3*g2*t^8.47)/y - (t^3.71*y)/g2 - (t^4.42*y)/g2^2 - (t^5.84*y)/g2^4 - (t^6.54*y)/g2^5 - g1^3*g2^3*t^7.06*y - (t^7.25*y)/g2^6 - g2^2*t^7.58*y - (2*t^7.96*y)/g2^7 - (g2*t^8.11*y)/g1^3 + g2*t^8.29*y + g1^3*g2*t^8.47*y + (t^8.13*y^2)/g2^3 - (t^8.84*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 |
---|---|---|---|---|---|---|---|---|
58609 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.0679 | 1.1773 | 0.9071 | [X:[1.5], M:[1.25], q:[0.3929, 1.0536], qb:[0.3571, 0.6964], phi:[0.25]] | t^2.25 + t^3. + t^3.27 + 2*t^3.75 + t^4.23 + 2*t^4.5 + t^4.98 + 2*t^5.25 + t^5.46 + t^5.79 - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 61239/57344, c: 67511/57344, X1: 3/2, M1: 5/4, q1: 11/28, q2: 59/56, qb1: 5/14, qb2: 39/56, phi1: 1/4} |
58889 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}^{3}$ | 1.0713 | 1.1745 | 0.9121 | [X:[1.528], M:[1.18], q:[0.4307, 1.0767], qb:[0.3893, 0.6873], phi:[0.236]] | t^2.12 + t^3.17 + t^3.35 + t^3.54 + t^3.88 + t^4.25 + t^4.4 + t^4.58 + t^5.11 + 2*t^5.29 + t^5.63 + t^5.66 - t^6. - t^3.71/y - t^4.42/y - t^5.83/y - t^3.71*y - t^4.42*y - t^5.83*y | detail | |
58850 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.909 | 0.9496 | 0.9572 | [X:[1.6699, 1.5049], M:[0.8252], q:[0.4531, 1.2783], qb:[0.7217, 0.5566], phi:[0.165]] | t^2.48 + t^3.03 + t^4.02 + t^4.51 + t^4.95 + t^5.01 + t^5.5 + t^5.56 - 2*t^6. - t^3.5/y - t^3.99/y - t^5.97/y - t^3.5*y - t^3.99*y - t^5.97*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 |
---|---|---|---|---|---|---|---|---|---|
47939 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.446 | 1.6242 | 0.8903 | [X:[1.3694], M:[0.9321], q:[0.5113, 0.4763], qb:[0.5565, 0.5641], phi:[0.3153]] | t^2.796 + t^2.838 + t^3.098 + t^3.121 + t^3.226 + t^4.044 + t^4.067 + t^4.108 + t^4.149 + t^4.172 + t^4.99 + t^5.013 + t^5.095 + t^5.118 + t^5.337 + t^5.443 + t^5.593 + t^5.634 + t^5.675 + t^5.917 + t^5.936 + t^5.959 - 3*t^6. - t^3.946/y - t^4.892/y - t^3.946*y - t^4.892*y | detail |