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 |
---|---|---|---|---|---|---|---|---|---|
3467 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ | 0.6068 | 0.7776 | 0.7804 | [M:[1.0, 1.0238, 0.9523, 1.0238, 0.7321, 0.7083, 1.2679], q:[0.756, 0.244], qb:[0.5358, 0.5119], phi:[0.4881]] | [M:[[0], [4], [-8], [4], [-3], [-7], [3]], q:[[1], [-1]], qb:[[6], [2]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -2 | t^2.125 + t^2.268 + t^2.339 + t^2.857 + t^3. + 2*t^3.072 + t^3.732 + 2*t^3.804 + t^4.25 + t^4.393 + t^4.464 + 2*t^4.536 + 2*t^4.607 + 2*t^4.679 + t^4.982 + t^5.125 + 2*t^5.196 + t^5.268 + 3*t^5.339 + 2*t^5.411 + t^5.714 + 2*t^5.857 + 2*t^5.928 - 2*t^6. + 3*t^6.072 + 4*t^6.143 + t^6.374 + t^6.517 + t^6.589 + 2*t^6.661 + 4*t^6.804 + 4*t^6.875 + 2*t^6.947 + 2*t^7.018 + t^7.107 + t^7.25 + 2*t^7.321 + t^7.393 + t^7.464 + 2*t^7.536 + 5*t^7.607 + 4*t^7.679 + 3*t^7.75 + t^7.839 + 2*t^7.982 + 2*t^8.053 - 2*t^8.125 + t^8.196 + 5*t^8.411 + 5*t^8.483 + t^8.499 + t^8.571 + t^8.642 + 2*t^8.714 + 3*t^8.785 - 2*t^8.857 + 3*t^8.928 - t^4.464/y - t^6.589/y - t^7.321/y + (2*t^7.393)/y + t^7.464/y - t^7.536/y + (2*t^7.607)/y + t^7.982/y + (2*t^8.125)/y + (3*t^8.196)/y + t^8.268/y + (4*t^8.339)/y + (2*t^8.411)/y - t^8.714/y + (2*t^8.857)/y + (4*t^8.928)/y - t^4.464*y - t^6.589*y - t^7.321*y + 2*t^7.393*y + t^7.464*y - t^7.536*y + 2*t^7.607*y + t^7.982*y + 2*t^8.125*y + 3*t^8.196*y + t^8.268*y + 4*t^8.339*y + 2*t^8.411*y - t^8.714*y + 2*t^8.857*y + 4*t^8.928*y | t^2.125/g1^7 + g1*t^2.268 + g1^5*t^2.339 + t^2.857/g1^8 + t^3. + 2*g1^4*t^3.072 + t^3.732/g1 + 2*g1^3*t^3.804 + t^4.25/g1^14 + t^4.393/g1^6 + t^4.464/g1^2 + 2*g1^2*t^4.536 + 2*g1^6*t^4.607 + 2*g1^10*t^4.679 + t^4.982/g1^15 + t^5.125/g1^7 + (2*t^5.196)/g1^3 + g1*t^5.268 + 3*g1^5*t^5.339 + 2*g1^9*t^5.411 + t^5.714/g1^16 + (2*t^5.857)/g1^8 + (2*t^5.928)/g1^4 - 2*t^6. + 3*g1^4*t^6.072 + 4*g1^8*t^6.143 + t^6.374/g1^21 + t^6.517/g1^13 + t^6.589/g1^9 + (2*t^6.661)/g1^5 + 4*g1^3*t^6.804 + 4*g1^7*t^6.875 + 2*g1^11*t^6.947 + 2*g1^15*t^7.018 + t^7.107/g1^22 + t^7.25/g1^14 + (2*t^7.321)/g1^10 + t^7.393/g1^6 + t^7.464/g1^2 + 2*g1^2*t^7.536 + 5*g1^6*t^7.607 + 4*g1^10*t^7.679 + 3*g1^14*t^7.75 + t^7.839/g1^23 + (2*t^7.982)/g1^15 + (2*t^8.053)/g1^11 - (2*t^8.125)/g1^7 + t^8.196/g1^3 + 5*g1^9*t^8.411 + 5*g1^13*t^8.483 + t^8.499/g1^28 + t^8.571/g1^24 + t^8.642/g1^20 + (2*t^8.714)/g1^16 + (3*t^8.785)/g1^12 - (2*t^8.857)/g1^8 + (3*t^8.928)/g1^4 - t^4.464/(g1^2*y) - t^6.589/(g1^9*y) - t^7.321/(g1^10*y) + (2*t^7.393)/(g1^6*y) + t^7.464/(g1^2*y) - (g1^2*t^7.536)/y + (2*g1^6*t^7.607)/y + t^7.982/(g1^15*y) + (2*t^8.125)/(g1^7*y) + (3*t^8.196)/(g1^3*y) + (g1*t^8.268)/y + (4*g1^5*t^8.339)/y + (2*g1^9*t^8.411)/y - t^8.714/(g1^16*y) + (2*t^8.857)/(g1^8*y) + (4*t^8.928)/(g1^4*y) - (t^4.464*y)/g1^2 - (t^6.589*y)/g1^9 - (t^7.321*y)/g1^10 + (2*t^7.393*y)/g1^6 + (t^7.464*y)/g1^2 - g1^2*t^7.536*y + 2*g1^6*t^7.607*y + (t^7.982*y)/g1^15 + (2*t^8.125*y)/g1^7 + (3*t^8.196*y)/g1^3 + g1*t^8.268*y + 4*g1^5*t^8.339*y + 2*g1^9*t^8.411*y - (t^8.714*y)/g1^16 + (2*t^8.857*y)/g1^8 + (4*t^8.928*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
5148 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6051 | 0.7779 | 0.7779 | [M:[1.0, 0.9947, 1.0106, 0.9947, 0.754, 0.7593, 1.246, 0.9894], q:[0.7487, 0.2513], qb:[0.4921, 0.4974], phi:[0.5026]] | t^2.23 + t^2.246 + t^2.278 + t^2.968 + 2*t^2.984 + t^3. + 2*t^3.738 + t^3.754 + 2*t^4.46 + 2*t^4.476 + 2*t^4.492 + t^4.508 + t^4.524 + t^4.556 + t^5.198 + 3*t^5.214 + 3*t^5.23 + 2*t^5.246 + t^5.262 + t^5.937 + 2*t^5.952 + 5*t^5.968 + 3*t^5.984 - 2*t^6. - t^4.508/y - t^4.508*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 |
---|---|---|---|---|---|---|---|---|---|
2893 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6266 | 0.8141 | 0.7697 | [M:[1.0, 1.0275, 0.945, 1.0275, 0.7294, 0.7019], q:[0.7569, 0.2431], qb:[0.5413, 0.5138], phi:[0.4862]] | t^2.106 + t^2.188 + t^2.271 + t^2.353 + t^2.835 + t^3. + 2*t^3.083 + t^3.729 + t^3.812 + t^4.211 + t^4.294 + 2*t^4.376 + 2*t^4.459 + 3*t^4.541 + 2*t^4.624 + 2*t^4.706 + t^4.941 + t^5.023 + t^5.106 + 3*t^5.188 + 3*t^5.271 + 3*t^5.353 + 2*t^5.436 + t^5.67 + 2*t^5.835 + 2*t^5.917 - t^6. - t^4.459/y - t^4.459*y | detail |