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 |
---|---|---|---|---|---|---|---|---|---|
47916 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.0956 | 1.1968 | 0.9155 | [X:[1.5377], M:[1.1558], q:[0.8844, 0.4221], qb:[0.8844, 0.4221], phi:[0.2312]] | [X:[[0, 0, 2]], M:[[0, 0, -5]], q:[[-1, 0, 1], [0, -1, 5]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{2}$ | -2 | t^2.08 + t^3.226 + t^3.467 + 3*t^3.92 + t^4.161 + t^4.613 + 2*t^5.307 + t^5.548 + 4*t^5.879 - 2*t^6. + t^6.241 + t^6.452 + t^6.693 + t^6.935 + 3*t^7.146 + 2*t^7.387 + t^7.628 + 6*t^7.839 + t^8.08 + t^8.322 + 4*t^8.533 - 4*t^8.653 + t^8.774 + t^8.08/y^2 - t^8.774/y^2 - t^3.693/y - t^4.387/y - t^5.774/y - t^6.467/y - t^7.161/y - (3*t^7.613)/y - (2*t^7.854)/y + t^8.307/y - t^3.693*y - t^4.387*y - t^5.774*y - t^6.467*y - t^7.161*y - 3*t^7.613*y - 2*t^7.854*y + t^8.307*y + t^8.08*y^2 - t^8.774*y^2 | t^2.08/g3^3 + g3^4*t^3.226 + t^3.467/g3^5 + (g2*g3*t^3.92)/g1 + g3^3*t^3.92 + (g1*g3^5*t^3.92)/g2 + t^4.161/g3^6 + g3^2*t^4.613 + 2*g3*t^5.307 + t^5.548/g3^8 + (g2^3*t^5.879)/g3^3 + (g1*g2^2*t^5.879)/g3 + (g3^10*t^5.879)/(g1*g2^2) + (g3^12*t^5.879)/g2^3 - 2*t^6. + t^6.241/g3^9 + g3^8*t^6.452 + t^6.693/g3 + t^6.935/g3^10 + (g2*g3^5*t^7.146)/g1 + g3^7*t^7.146 + (g1*g3^9*t^7.146)/g2 + (2*t^7.387)/g3^2 + t^7.628/g3^11 + (g2^2*g3^2*t^7.839)/g1^2 + (g2*g3^4*t^7.839)/g1 + 2*g3^6*t^7.839 + (g1*g3^8*t^7.839)/g2 + (g1^2*g3^10*t^7.839)/g2^2 + t^8.08/g3^3 + t^8.322/g3^12 + (g2*g3^3*t^8.533)/g1 + 2*g3^5*t^8.533 + (g1*g3^7*t^8.533)/g2 - (g2^3*t^8.653)/g3^7 - (g1*g2^2*t^8.653)/g3^5 - (g3^6*t^8.653)/(g1*g2^2) - (g3^8*t^8.653)/g2^3 + t^8.774/g3^4 + t^8.08/(g3^3*y^2) - t^8.774/(g3^4*y^2) - t^3.693/(g3*y) - t^4.387/(g3^2*y) - t^5.774/(g3^4*y) - t^6.467/(g3^5*y) - t^7.161/(g3^6*y) - (g2*t^7.613)/(g1*y) - (g3^2*t^7.613)/y - (g1*g3^4*t^7.613)/(g2*y) - (2*t^7.854)/(g3^7*y) + (g3*t^8.307)/y - (t^3.693*y)/g3 - (t^4.387*y)/g3^2 - (t^5.774*y)/g3^4 - (t^6.467*y)/g3^5 - (t^7.161*y)/g3^6 - (g2*t^7.613*y)/g1 - g3^2*t^7.613*y - (g1*g3^4*t^7.613*y)/g2 - (2*t^7.854*y)/g3^7 + g3*t^8.307*y + (t^8.08*y^2)/g3^3 - (t^8.774*y^2)/g3^4 |
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 |
---|---|---|---|---|---|---|---|---|
57482 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.0891 | 1.1985 | 0.9087 | [X:[1.5], M:[1.25], q:[0.875, 0.375], qb:[0.875, 0.375], phi:[0.25]] | t^2.25 + t^3. + 4*t^3.75 + 2*t^4.5 + 2*t^5.25 + 4*t^5.62 - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 4461/4096, c: 4909/4096, X1: 3/2, M1: 5/4, q1: 7/8, q2: 3/8, qb1: 7/8, qb2: 3/8, phi1: 1/4} |
57483 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.1163 | 1.2363 | 0.9029 | [X:[1.5397], M:[1.1506, 0.6904], q:[0.8849, 0.4247], qb:[0.8849, 0.4247], phi:[0.2301]] | 2*t^2.07 + t^3.24 + t^3.45 + 2*t^3.93 + 3*t^4.14 + t^4.62 + 3*t^5.31 + 2*t^5.52 + 4*t^5.89 - t^6. - t^3.69/y - t^4.38/y - (2*t^5.76)/y - t^3.69*y - t^4.38*y - 2*t^5.76*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 |
---|---|---|---|---|---|---|---|---|---|
47875 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.1107 | 1.2278 | 0.9046 | [X:[1.5211], q:[0.8803, 0.4014], qb:[0.8803, 0.4014], phi:[0.2394]] | t^2.155 + t^2.408 + t^3.127 + 3*t^3.845 + t^4.31 + 2*t^4.563 + t^4.817 + 2*t^5.282 + t^5.535 + 4*t^5.768 - 2*t^6. - t^3.718/y - t^4.437/y - t^5.873/y - t^3.718*y - t^4.437*y - t^5.873*y | detail |