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 |
---|---|---|---|---|---|---|---|---|---|
57340 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.3522 | 1.5252 | 0.8866 | [X:[1.423], M:[0.8655, 0.8299], q:[0.7352, 0.4111], qb:[0.6878, 0.4349], phi:[0.2885]] | [X:[[0, 0, 2]], M:[[0, 0, -3], [1, -1, -2]], q:[[-1, 0, 2], [0, -1, 4]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -3 | t^2.49 + t^2.538 + 2*t^2.597 + t^3.297 + t^4.162 + 3*t^4.269 + t^4.376 + t^4.979 + t^5.028 + t^5.076 + 2*t^5.086 + 3*t^5.134 + 3*t^5.193 + 2*t^5.538 + t^5.786 + t^5.835 + t^5.893 - 3*t^6. - t^6.107 + 2*t^6.297 + 2*t^6.403 + 2*t^6.51 + t^6.593 + t^6.652 + t^6.7 + 3*t^6.759 + 3*t^6.807 + 4*t^6.866 + t^6.914 + t^7.459 + t^7.469 + t^7.517 + 4*t^7.566 + 2*t^7.576 + t^7.614 + 2*t^7.624 + 3*t^7.672 + 3*t^7.683 + 4*t^7.731 + 4*t^7.79 - t^7.838 + 2*t^8.076 - 2*t^8.241 + t^8.276 + 2*t^8.324 + t^8.373 + t^8.383 + 4*t^8.431 - 2*t^8.49 + 2*t^8.538 - 5*t^8.597 + t^8.645 - 2*t^8.703 + t^8.752 + 2*t^8.786 + 4*t^8.835 + 4*t^8.893 + 2*t^8.941 + t^8.597/y^2 - t^3.866/y - t^4.731/y - t^6.355/y - t^6.403/y - (2*t^6.462)/y - t^7.162/y - t^7.221/y - (2*t^7.328)/y + (2*t^8.086)/y + t^8.134/y + t^8.193/y + t^8.786/y + t^8.835/y - t^8.845/y + t^8.893/y - t^8.941/y - (2*t^8.952)/y - t^3.866*y - t^4.731*y - t^6.355*y - t^6.403*y - 2*t^6.462*y - t^7.162*y - t^7.221*y - 2*t^7.328*y + 2*t^8.086*y + t^8.134*y + t^8.193*y + t^8.786*y + t^8.835*y - t^8.845*y + t^8.893*y - t^8.941*y - 2*t^8.952*y + t^8.597*y^2 | (g1*t^2.49)/(g2*g3^2) + g3^4*t^2.538 + (2*t^2.597)/g3^3 + (g1*g3^4*t^3.297)/g2 + (g1*g3^3*t^4.162)/g2 + 3*g3^2*t^4.269 + (g2*g3*t^4.376)/g1 + (g1^2*t^4.979)/(g2^2*g3^4) + (g1*g3^2*t^5.028)/g2 + g3^8*t^5.076 + (2*g1*t^5.086)/(g2*g3^5) + 3*g3*t^5.134 + (3*t^5.193)/g3^6 + (g1*g2^2*t^5.538)/g3 + (g3^9*t^5.538)/(g1*g2^2) + (g1^2*g3^2*t^5.786)/g2^2 + (g1*g3^8*t^5.835)/g2 + (g1*g3*t^5.893)/g2 - 3*t^6. - (g2*t^6.107)/(g1*g3) + (g1^2*g2*t^6.297)/g3 + (g3^9*t^6.297)/g2^3 + (g1*g2^2*t^6.403)/g3^2 + (g3^8*t^6.403)/(g1*g2^2) + (g2^3*t^6.51)/g3^3 + (g3^7*t^6.51)/(g1^2*g2) + (g1^2*g3^8*t^6.593)/g2^2 + (g1^2*g3*t^6.652)/g2^2 + (g1*g3^7*t^6.7)/g2 + (3*g1*t^6.759)/g2 + 3*g3^6*t^6.807 + (4*t^6.866)/g3 + (g2*g3^5*t^6.914)/g1 + (g1^2*g3^7*t^7.459)/g2^2 + (g1^3*t^7.469)/(g2^3*g3^6) + (g1^2*t^7.517)/g2^2 + (4*g1*g3^6*t^7.566)/g2 + (2*g1^2*t^7.576)/(g2^2*g3^7) + g3^12*t^7.614 + (2*g1*t^7.624)/(g2*g3) + 3*g3^5*t^7.672 + (3*g1*t^7.683)/(g2*g3^8) + (4*t^7.731)/g3^2 + (4*t^7.79)/g3^9 - (g2*t^7.838)/(g1*g3^3) + g1*g2^2*g3^3*t^8.076 + (g3^13*t^8.076)/(g1*g2^2) - (g2^3*t^8.241)/g3^5 - (g3^5*t^8.241)/(g1^2*g2) + (g1^3*t^8.276)/g2^3 + (2*g1^2*g3^6*t^8.324)/g2^2 + (g1*g3^12*t^8.373)/g2 + (g1^2*t^8.383)/(g2^2*g3) + (4*g1*g3^5*t^8.431)/g2 - (2*g1*t^8.49)/(g2*g3^2) + 2*g3^4*t^8.538 - (5*t^8.597)/g3^3 + (g2*g3^3*t^8.645)/g1 - (2*g2*t^8.703)/(g1*g3^4) + (g2^2*g3^2*t^8.752)/g1^2 + (g1^3*t^8.786)/g3^3 + (g1*g3^7*t^8.786)/g2^4 + 2*g1^2*g2*g3^3*t^8.835 + (2*g3^13*t^8.835)/g2^3 + (2*g1^2*g2*t^8.893)/g3^4 + (2*g3^6*t^8.893)/g2^3 + g1*g2^2*g3^2*t^8.941 + (g3^12*t^8.941)/(g1*g2^2) + t^8.597/(g3^3*y^2) - t^3.866/(g3*y) - t^4.731/(g3^2*y) - (g1*t^6.355)/(g2*g3^3*y) - (g3^3*t^6.403)/y - (2*t^6.462)/(g3^4*y) - (g1*g3^3*t^7.162)/(g2*y) - (g1*t^7.221)/(g2*g3^4*y) - (2*t^7.328)/(g3^5*y) + (2*g1*t^8.086)/(g2*g3^5*y) + (g3*t^8.134)/y + t^8.193/(g3^6*y) + (g1^2*g3^2*t^8.786)/(g2^2*y) + (g1*g3^8*t^8.835)/(g2*y) - (g1^2*t^8.845)/(g2^2*g3^5*y) + (g1*g3*t^8.893)/(g2*y) - (g3^7*t^8.941)/y - (2*g1*t^8.952)/(g2*g3^6*y) - (t^3.866*y)/g3 - (t^4.731*y)/g3^2 - (g1*t^6.355*y)/(g2*g3^3) - g3^3*t^6.403*y - (2*t^6.462*y)/g3^4 - (g1*g3^3*t^7.162*y)/g2 - (g1*t^7.221*y)/(g2*g3^4) - (2*t^7.328*y)/g3^5 + (2*g1*t^8.086*y)/(g2*g3^5) + g3*t^8.134*y + (t^8.193*y)/g3^6 + (g1^2*g3^2*t^8.786*y)/g2^2 + (g1*g3^8*t^8.835*y)/g2 - (g1^2*t^8.845*y)/(g2^2*g3^5) + (g1*g3*t^8.893*y)/g2 - g3^7*t^8.941*y - (2*g1*t^8.952*y)/(g2*g3^6) + (t^8.597*y^2)/g3^3 |
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 |
---|---|---|---|---|---|---|---|---|
58138 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ | 1.318 | 1.4981 | 0.8798 | [X:[1.3531], M:[0.9704, 1.0296], q:[0.6371, 0.3728], qb:[0.716, 0.3333], phi:[0.3235]] | t^2.12 + 2*t^2.91 + t^3.09 + t^3.27 + t^3.88 + 3*t^4.06 + 2*t^4.24 + 3*t^5.03 + 2*t^5.12 + t^5.21 + t^5.38 + 2*t^5.82 + 2*t^5.91 - t^3.97/y - t^4.94/y - t^3.97*y - t^4.94*y | detail | |
58135 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.256 | 1.4009 | 0.8966 | [X:[1.4726], M:[0.7911, 1.0547], q:[0.5605, 0.5605], qb:[0.9121, 0.3847], phi:[0.2637]] | 2*t^2.37 + t^2.84 + t^3.16 + t^3.63 + 4*t^4.42 + 3*t^4.75 + 3*t^5.21 + 2*t^5.54 + t^5.67 + 4*t^5.84 - 2*t^6. - t^3.79/y - t^4.58/y - t^3.79*y - t^4.58*y | detail | |
58136 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.3246 | 1.4821 | 0.8938 | [X:[1.5], M:[0.75, 0.7307], q:[0.7629, 0.4936], qb:[0.7371, 0.5064], phi:[0.25]] | t^2.19 + 2*t^2.25 + t^3. + t^3.69 + t^4.38 + 3*t^4.44 + 6*t^4.5 + t^4.56 + t^5.19 + 3*t^5.25 + t^5.88 + t^5.94 - t^3.75/y - t^4.5/y - t^5.94/y - (2*t^6.)/y - t^3.75*y - t^4.5*y - t^5.94*y - 2*t^6.*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 |
---|---|---|---|---|---|---|---|---|---|
47891 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.3396 | 1.5052 | 0.8899 | [X:[1.4109], M:[0.8836], q:[0.7055, 0.4109], qb:[0.7055, 0.4109], phi:[0.2945]] | t^2.466 + 2*t^2.651 + 2*t^3.349 + 5*t^4.233 + t^4.931 + 3*t^5.116 + 3*t^5.302 + 2*t^5.466 + 2*t^5.815 - t^6. - t^3.884/y - t^4.767/y - t^3.884*y - t^4.767*y | detail |