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 |
---|---|---|---|---|---|---|---|---|---|
2750 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6395 | 0.7939 | 0.8055 | [X:[1.6178], M:[0.8533, 0.6756, 1.1467, 0.3822, 0.7645], q:[0.4044, 0.7423], qb:[0.4489, 0.8755], phi:[0.3822]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, -2]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.027 + 2*t^2.293 + t^2.56 + t^3.44 + 2*t^3.573 + 2*t^3.84 + t^4.054 + 2*t^4.32 + 4*t^4.587 + 3*t^4.853 + t^5.12 + t^5.467 + 2*t^5.6 + t^5.733 + 4*t^5.867 - 2*t^6. + t^6.081 + 4*t^6.133 - t^6.267 + 2*t^6.347 + 2*t^6.4 + 4*t^6.614 + 7*t^6.88 + 6*t^7.147 - 2*t^7.28 + 3*t^7.413 + t^7.494 - 2*t^7.546 + 2*t^7.627 + 3*t^7.68 + t^7.76 + 4*t^7.894 - t^8.027 + t^8.108 + 6*t^8.16 - 5*t^8.293 + 2*t^8.374 + 6*t^8.427 - 6*t^8.56 + 4*t^8.641 + 4*t^8.693 - 2*t^8.826 + 7*t^8.907 + 2*t^8.96 - t^4.147/y - t^6.174/y - (2*t^6.44)/y + (2*t^7.32)/y + (2*t^7.587)/y + (4*t^7.853)/y + t^8.12/y - t^8.2/y - t^8.467/y + (2*t^8.6)/y - t^8.733/y + (6*t^8.867)/y - t^4.147*y - t^6.174*y - 2*t^6.44*y + 2*t^7.32*y + 2*t^7.587*y + 4*t^7.853*y + t^8.12*y - t^8.2*y - t^8.467*y + 2*t^8.6*y - t^8.733*y + 6*t^8.867*y | t^2.027/g2^7 + (2*t^2.293)/g2^2 + g2^3*t^2.56 + t^3.44/g2^3 + (g1^2*t^3.573)/g2^9 + (g2^8*t^3.573)/g1^2 + (g1^2*t^3.84)/g2^4 + (g2^13*t^3.84)/g1^2 + t^4.054/g2^14 + (2*t^4.32)/g2^9 + (4*t^4.587)/g2^4 + 3*g2*t^4.853 + g2^6*t^5.12 + t^5.467/g2^10 + (g1^2*t^5.6)/g2^16 + (g2*t^5.6)/g1^2 + t^5.733/g2^5 + (2*g1^2*t^5.867)/g2^11 + (2*g2^6*t^5.867)/g1^2 - 2*t^6. + t^6.081/g2^21 + (2*g1^2*t^6.133)/g2^6 + (2*g2^11*t^6.133)/g1^2 - g2^5*t^6.267 + (2*t^6.347)/g2^16 + (g1^2*t^6.4)/g2 + (g2^16*t^6.4)/g1^2 + (4*t^6.614)/g2^11 + (7*t^6.88)/g2^6 + (g1^4*t^7.147)/g2^18 + (4*t^7.147)/g2 + (g2^16*t^7.147)/g1^4 - (g1^2*t^7.28)/g2^7 - (g2^10*t^7.28)/g1^2 + (g1^4*t^7.413)/g2^13 + g2^4*t^7.413 + (g2^21*t^7.413)/g1^4 + t^7.494/g2^17 - (g1^2*t^7.546)/g2^2 - (g2^15*t^7.546)/g1^2 + (g1^2*t^7.627)/g2^23 + t^7.627/(g1^2*g2^6) + (g1^4*t^7.68)/g2^8 + g2^9*t^7.68 + (g2^26*t^7.68)/g1^4 + t^7.76/g2^12 + (2*g1^2*t^7.894)/g2^18 + (2*t^7.894)/(g1^2*g2) - t^8.027/g2^7 + t^8.108/g2^28 + (3*g1^2*t^8.16)/g2^13 + (3*g2^4*t^8.16)/g1^2 - (5*t^8.293)/g2^2 + (2*t^8.374)/g2^23 + (3*g1^2*t^8.427)/g2^8 + (3*g2^9*t^8.427)/g1^2 - 6*g2^3*t^8.56 + (4*t^8.641)/g2^18 + (2*g1^2*t^8.693)/g2^3 + (2*g2^14*t^8.693)/g1^2 - 2*g2^8*t^8.826 + (7*t^8.907)/g2^13 + g1^2*g2^2*t^8.96 + (g2^19*t^8.96)/g1^2 - t^4.147/(g2*y) - t^6.174/(g2^8*y) - (2*t^6.44)/(g2^3*y) + (2*t^7.32)/(g2^9*y) + (2*t^7.587)/(g2^4*y) + (4*g2*t^7.853)/y + (g2^6*t^8.12)/y - t^8.2/(g2^15*y) - t^8.467/(g2^10*y) + (g1^2*t^8.6)/(g2^16*y) + (g2*t^8.6)/(g1^2*y) - t^8.733/(g2^5*y) + (3*g1^2*t^8.867)/(g2^11*y) + (3*g2^6*t^8.867)/(g1^2*y) - (t^4.147*y)/g2 - (t^6.174*y)/g2^8 - (2*t^6.44*y)/g2^3 + (2*t^7.32*y)/g2^9 + (2*t^7.587*y)/g2^4 + 4*g2*t^7.853*y + g2^6*t^8.12*y - (t^8.2*y)/g2^15 - (t^8.467*y)/g2^10 + (g1^2*t^8.6*y)/g2^16 + (g2*t^8.6*y)/g1^2 - (t^8.733*y)/g2^5 + (3*g1^2*t^8.867*y)/g2^11 + (3*g2^6*t^8.867*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
3263 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ | 0.639 | 0.7917 | 0.8072 | [X:[1.6191, 1.3335], M:[0.8572, 0.6665, 1.1428, 0.3809, 0.7619, 0.7002], q:[0.4117, 0.7311], qb:[0.4455, 0.888], phi:[0.3809]] | t^2.101 + 2*t^2.286 + t^2.572 + t^3.428 + t^3.53 + t^3.613 + t^3.816 + t^4. + t^4.201 + 2*t^4.386 + 3*t^4.571 + t^4.672 + 3*t^4.857 + t^5.143 + t^5.529 + t^5.63 + 2*t^5.714 + t^5.815 + t^5.899 + t^5.916 - 2*t^6. - t^4.143/y - t^4.143*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 |
---|---|---|---|---|---|---|---|---|---|
1746 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.6212 | 0.7607 | 0.8166 | [X:[1.6162], M:[0.8487, 0.6865, 1.1513, 0.3838], q:[0.4041, 0.7473], qb:[0.4446, 0.8689], phi:[0.3838]] | t^2.059 + t^2.303 + t^2.546 + t^3.454 + 2*t^3.576 + t^3.697 + 2*t^3.819 + t^4.119 + t^4.362 + 2*t^4.605 + 2*t^4.849 + t^5.092 + t^5.513 + 2*t^5.635 + t^5.757 + 2*t^5.878 - t^6. - t^4.151/y - t^4.151*y | detail |