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 |
---|---|---|---|---|---|---|---|---|---|
1818 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 0.6064 | 0.7789 | 0.7785 | [M:[0.9868, 1.0396, 1.0132, 0.7335], q:[0.7467, 0.2665], qb:[0.4934, 0.467], phi:[0.5066]] | [M:[[4], [-12], [-4], [5]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | 2*t^2.2 + t^2.28 + 2*t^3.04 + 2*t^3.119 + t^3.641 + 2*t^3.72 + t^4.322 + 4*t^4.401 + 3*t^4.48 + t^4.559 + 4*t^5.24 + 5*t^5.319 + t^5.399 + 2*t^5.841 + 3*t^5.921 - 2*t^6. + 4*t^6.159 + 3*t^6.238 + 2*t^6.522 + 5*t^6.601 + 4*t^6.681 + 5*t^6.76 + 2*t^6.839 - t^6.919 + 2*t^7.361 + 7*t^7.441 + 7*t^7.52 + 3*t^7.599 + t^7.678 + t^7.963 + 5*t^8.042 + 3*t^8.121 - 6*t^8.2 - 2*t^8.28 + 6*t^8.359 + 6*t^8.438 + t^8.518 + t^8.643 + 4*t^8.722 + 7*t^8.802 + 5*t^8.881 + 6*t^8.96 - t^4.52/y - t^6.72/y + (2*t^7.401)/y + (3*t^7.48)/y - t^7.559/y - t^7.639/y + (4*t^8.24)/y + (7*t^8.319)/y + (2*t^8.399)/y + (2*t^8.841)/y + (4*t^8.921)/y - t^4.52*y - t^6.72*y + 2*t^7.401*y + 3*t^7.48*y - t^7.559*y - t^7.639*y + 4*t^8.24*y + 7*t^8.319*y + 2*t^8.399*y + 2*t^8.841*y + 4*t^8.921*y | 2*g1^5*t^2.2 + t^2.28/g1^3 + (2*t^3.04)/g1^4 + (2*t^3.119)/g1^12 + g1^11*t^3.641 + 2*g1^3*t^3.72 + g1^18*t^4.322 + 4*g1^10*t^4.401 + 3*g1^2*t^4.48 + t^4.559/g1^6 + 4*g1*t^5.24 + (5*t^5.319)/g1^7 + t^5.399/g1^15 + 2*g1^16*t^5.841 + 3*g1^8*t^5.921 - 2*t^6. + (4*t^6.159)/g1^16 + (3*t^6.238)/g1^24 + 2*g1^23*t^6.522 + 5*g1^15*t^6.601 + 4*g1^7*t^6.681 + (5*t^6.76)/g1 + (2*t^6.839)/g1^9 - t^6.919/g1^17 + 2*g1^14*t^7.361 + 7*g1^6*t^7.441 + (7*t^7.52)/g1^2 + (3*t^7.599)/g1^10 + t^7.678/g1^18 + g1^29*t^7.963 + 5*g1^21*t^8.042 + 3*g1^13*t^8.121 - 6*g1^5*t^8.2 - (2*t^8.28)/g1^3 + (6*t^8.359)/g1^11 + (6*t^8.438)/g1^19 + t^8.518/g1^27 + g1^36*t^8.643 + 4*g1^28*t^8.722 + 7*g1^20*t^8.802 + 5*g1^12*t^8.881 + 6*g1^4*t^8.96 - t^4.52/(g1^2*y) - (g1^3*t^6.72)/y + (2*g1^10*t^7.401)/y + (3*g1^2*t^7.48)/y - t^7.559/(g1^6*y) - t^7.639/(g1^14*y) + (4*g1*t^8.24)/y + (7*t^8.319)/(g1^7*y) + (2*t^8.399)/(g1^15*y) + (2*g1^16*t^8.841)/y + (4*g1^8*t^8.921)/y - (t^4.52*y)/g1^2 - g1^3*t^6.72*y + 2*g1^10*t^7.401*y + 3*g1^2*t^7.48*y - (t^7.559*y)/g1^6 - (t^7.639*y)/g1^14 + 4*g1*t^8.24*y + (7*t^8.319*y)/g1^7 + (2*t^8.399*y)/g1^15 + 2*g1^16*t^8.841*y + 4*g1^8*t^8.921*y |
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 |
---|---|---|---|---|---|---|---|---|
2836 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6243 | 0.8111 | 0.7697 | [M:[0.9947, 1.0159, 1.0053, 0.7434, 0.7646], q:[0.7487, 0.2566], qb:[0.4974, 0.4868], phi:[0.5026]] | 2*t^2.23 + t^2.262 + t^2.294 + 2*t^3.016 + 2*t^3.048 + 2*t^3.738 + t^4.429 + 4*t^4.46 + 3*t^4.492 + 3*t^4.524 + t^4.556 + t^4.587 + 4*t^5.246 + 5*t^5.278 + 3*t^5.31 + 2*t^5.341 + 2*t^5.968 - 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 |
---|---|---|---|---|---|---|---|---|---|
344 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6064 | 0.7787 | 0.7788 | [M:[0.9857, 1.043, 1.0143, 0.7364], q:[0.7464, 0.2679], qb:[0.4885, 0.4685], phi:[0.5072]] | 2*t^2.209 + t^2.269 + 2*t^3.043 + 2*t^3.129 + t^3.645 + t^3.705 + t^3.731 + t^4.333 + t^4.392 + 3*t^4.419 + t^4.452 + 2*t^4.478 + t^4.538 + 4*t^5.252 + 2*t^5.312 + 3*t^5.338 + t^5.398 + 2*t^5.854 + 2*t^5.914 + t^5.94 + t^5.974 - 3*t^6. - t^4.522/y - t^4.522*y | detail |