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 |
---|---|---|---|---|---|---|---|---|---|
57043 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.6768 | 0.8502 | 0.796 | [M:[1.1059, 0.8941, 0.6689, 0.8807, 1.1126, 0.8874, 0.8941], q:[0.3311, 0.563], qb:[0.7748, 0.5563], phi:[0.4437]] | [M:[[-7], [7], [3], [-11], [2], [-2], [7]], q:[[-3], [10]], qb:[[-4], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{3}\phi_{1}q_{1}\tilde{q}_{2}$ | -2 | t^2.007 + t^2.642 + 2*t^2.662 + 2*t^2.682 + t^3.318 + t^3.993 + 3*t^4.013 + 2*t^4.649 + 2*t^4.669 + 3*t^4.689 + t^4.709 + t^5.284 + t^5.304 + 6*t^5.324 + 4*t^5.345 + 2*t^5.365 + t^5.96 + 2*t^5.98 - 2*t^6. + 2*t^6.02 + 3*t^6.655 + 4*t^6.676 + 5*t^6.696 + t^6.716 + 2*t^7.291 + 2*t^7.311 + 5*t^7.331 + 5*t^7.351 + 5*t^7.371 + 2*t^7.392 + t^7.926 + t^7.946 + 4*t^7.966 + 6*t^7.987 + 4*t^8.007 + 7*t^8.027 + t^8.047 + t^8.602 + 2*t^8.622 - 3*t^8.662 - 5*t^8.682 + 4*t^8.703 + 3*t^8.723 - t^4.331/y - t^6.338/y - t^6.973/y - t^6.993/y - t^7.013/y + (2*t^7.649)/y + (3*t^7.669)/y + (3*t^7.689)/y + (2*t^8.304)/y + (5*t^8.324)/y + (3*t^8.345)/y + t^8.365/y + t^8.96/y + t^8.98/y - t^4.331*y - t^6.338*y - t^6.973*y - t^6.993*y - t^7.013*y + 2*t^7.649*y + 3*t^7.669*y + 3*t^7.689*y + 2*t^8.304*y + 5*t^8.324*y + 3*t^8.345*y + t^8.365*y + t^8.96*y + t^8.98*y | g1^3*t^2.007 + t^2.642/g1^11 + (2*t^2.662)/g1^2 + 2*g1^7*t^2.682 + t^3.318/g1^7 + t^3.993/g1^3 + 3*g1^6*t^4.013 + (2*t^4.649)/g1^8 + 2*g1*t^4.669 + 3*g1^10*t^4.689 + g1^19*t^4.709 + t^5.284/g1^22 + t^5.304/g1^13 + (6*t^5.324)/g1^4 + 4*g1^5*t^5.345 + 2*g1^14*t^5.365 + t^5.96/g1^18 + (2*t^5.98)/g1^9 - 2*t^6. + 2*g1^9*t^6.02 + (3*t^6.655)/g1^5 + 4*g1^4*t^6.676 + 5*g1^13*t^6.696 + g1^22*t^6.716 + (2*t^7.291)/g1^19 + (2*t^7.311)/g1^10 + (5*t^7.331)/g1 + 5*g1^8*t^7.351 + 5*g1^17*t^7.371 + 2*g1^26*t^7.392 + t^7.926/g1^33 + t^7.946/g1^24 + (4*t^7.966)/g1^15 + (6*t^7.987)/g1^6 + 4*g1^3*t^8.007 + 7*g1^12*t^8.027 + g1^21*t^8.047 + t^8.602/g1^29 + (2*t^8.622)/g1^20 - (3*t^8.662)/g1^2 - 5*g1^7*t^8.682 + 4*g1^16*t^8.703 + 3*g1^25*t^8.723 - t^4.331/(g1*y) - (g1^2*t^6.338)/y - t^6.973/(g1^12*y) - t^6.993/(g1^3*y) - (g1^6*t^7.013)/y + (2*t^7.649)/(g1^8*y) + (3*g1*t^7.669)/y + (3*g1^10*t^7.689)/y + (2*t^8.304)/(g1^13*y) + (5*t^8.324)/(g1^4*y) + (3*g1^5*t^8.345)/y + (g1^14*t^8.365)/y + t^8.96/(g1^18*y) + t^8.98/(g1^9*y) - (t^4.331*y)/g1 - g1^2*t^6.338*y - (t^6.973*y)/g1^12 - (t^6.993*y)/g1^3 - g1^6*t^7.013*y + (2*t^7.649*y)/g1^8 + 3*g1*t^7.669*y + 3*g1^10*t^7.689*y + (2*t^8.304*y)/g1^13 + (5*t^8.324*y)/g1^4 + 3*g1^5*t^8.345*y + g1^14*t^8.365*y + (t^8.96*y)/g1^18 + (t^8.98*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
58705 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{7}M_{8}$ | 0.668 | 0.8353 | 0.7997 | [M:[1.0864, 0.9136, 0.6772, 0.8501, 1.1182, 0.8818, 0.9136, 1.0864], q:[0.3228, 0.5908], qb:[0.7637, 0.5591], phi:[0.4409]] | t^2.032 + t^2.55 + 2*t^2.646 + t^2.741 + 2*t^3.259 + t^3.968 + 3*t^4.063 + 2*t^4.582 + 2*t^4.677 + 2*t^4.772 + t^4.868 + t^5.101 + t^5.196 + 6*t^5.291 + 2*t^5.386 + 2*t^5.81 + 4*t^5.905 - 2*t^6. - t^4.323/y - t^4.323*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 |
---|---|---|---|---|---|---|---|---|---|
55470 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{1}M_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.7297 | 0.9109 | 0.8011 | [M:[1.0, 1.0, 0.899, 0.899, 1.0505, 0.9495, 0.6767], q:[0.4243, 0.5757], qb:[0.5757, 0.5252], phi:[0.4748]] | t^2.03 + 2*t^2.697 + 2*t^2.849 + 2*t^3. + t^3.454 + t^4.06 + t^4.273 + 2*t^4.424 + t^4.576 + 4*t^4.727 + 5*t^4.879 + 2*t^5.03 + 3*t^5.394 + t^5.485 + 2*t^5.546 + 6*t^5.697 + 2*t^5.849 - 3*t^6. - t^4.424/y - t^4.424*y | detail |