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 |
---|---|---|---|---|---|---|---|---|---|
693 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6566 | 0.7988 | 0.822 | [M:[1.0916, 1.0916, 0.9962, 0.9084, 0.9084], q:[0.7729, 0.4065], qb:[0.5019, 0.5019], phi:[0.4542]] | [M:[[4], [4], [-22], [-4], [-4]], q:[[1], [-15]], qb:[[11], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$ | ${}$ | -5 | 3*t^2.725 + t^2.989 + t^3.538 + t^3.802 + 2*t^3.824 + 2*t^4.088 + 3*t^4.374 + 6*t^5.45 + t^5.714 + t^5.977 - 5*t^6. + 2*t^6.264 - 2*t^6.286 + 4*t^6.527 + 3*t^6.55 + t^6.791 + 5*t^6.813 + 6*t^7.099 + t^7.34 - t^7.363 + t^7.604 + 2*t^7.626 - 2*t^7.649 + 2*t^7.89 + 3*t^7.912 + 12*t^8.176 + 4*t^8.198 + 2*t^8.462 + t^8.703 - 15*t^8.725 + 5*t^8.748 + t^8.966 + t^8.989 - t^4.363/y - t^7.088/y - t^7.351/y + t^7.374/y + t^7.637/y + (3*t^8.45)/y + (3*t^8.714)/y - t^4.363*y - t^7.088*y - t^7.351*y + t^7.374*y + t^7.637*y + 3*t^8.45*y + 3*t^8.714*y | (3*t^2.725)/g1^4 + t^2.989/g1^22 + t^3.538/g1^14 + t^3.802/g1^32 + 2*g1^12*t^3.824 + (2*t^4.088)/g1^6 + 3*g1^20*t^4.374 + (6*t^5.45)/g1^8 + t^5.714/g1^26 + t^5.977/g1^44 - 5*t^6. + (2*t^6.264)/g1^18 - 2*g1^26*t^6.286 + (4*t^6.527)/g1^36 + 3*g1^8*t^6.55 + t^6.791/g1^54 + (5*t^6.813)/g1^10 + 6*g1^16*t^7.099 + t^7.34/g1^46 - t^7.363/g1^2 + t^7.604/g1^64 + (2*t^7.626)/g1^20 - 2*g1^24*t^7.649 + (2*t^7.89)/g1^38 + 3*g1^6*t^7.912 + (12*t^8.176)/g1^12 + 4*g1^32*t^8.198 + 2*g1^14*t^8.462 + t^8.703/g1^48 - (15*t^8.725)/g1^4 + 5*g1^40*t^8.748 + t^8.966/g1^66 + t^8.989/g1^22 - t^4.363/(g1^2*y) - t^7.088/(g1^6*y) - t^7.351/(g1^24*y) + (g1^20*t^7.374)/y + (g1^2*t^7.637)/y + (3*t^8.45)/(g1^8*y) + (3*t^8.714)/(g1^26*y) - (t^4.363*y)/g1^2 - (t^7.088*y)/g1^6 - (t^7.351*y)/g1^24 + g1^20*t^7.374*y + g1^2*t^7.637*y + (3*t^8.45*y)/g1^8 + (3*t^8.714*y)/g1^26 |
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 |
---|---|---|---|---|---|---|---|---|
1118 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ | 0.6509 | 0.7903 | 0.8236 | [M:[1.0769, 1.0769, 1.0769, 0.9231, 0.9231], q:[0.7692, 0.4615], qb:[0.4615, 0.4615], phi:[0.4615]] | 3*t^2.769 + t^3.231 + 3*t^3.692 + 6*t^4.154 + 6*t^5.538 - 6*t^6. - t^4.385/y - t^4.385*y | detail | {a: 22881/35152, c: 13891/17576, M1: 14/13, M2: 14/13, M3: 14/13, M4: 12/13, M5: 12/13, q1: 10/13, q2: 6/13, qb1: 6/13, qb2: 6/13, phi1: 6/13} |
1117 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6723 | 0.8258 | 0.8141 | [M:[1.0876, 1.0876, 1.0184, 0.9124, 0.9124, 0.8064], q:[0.7719, 0.4217], qb:[0.4908, 0.4908], phi:[0.4562]] | t^2.419 + 3*t^2.737 + t^3.055 + 2*t^3.788 + t^3.899 + 2*t^4.106 + 3*t^4.313 + t^4.839 + 3*t^5.157 + 7*t^5.475 + t^5.793 - 5*t^6. - t^4.369/y - t^4.369*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 |
---|---|---|---|---|---|---|---|---|---|
419 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{4}$ | 0.6483 | 0.7846 | 0.8263 | [M:[1.09, 1.09, 1.005, 0.91], q:[0.7725, 0.4125], qb:[0.4975, 0.4975], phi:[0.455]] | 2*t^2.73 + t^3.015 + t^3.27 + t^3.555 + 2*t^3.81 + t^3.84 + 2*t^4.095 + 3*t^4.35 + 3*t^5.46 - 3*t^6. - t^4.365/y - t^4.365*y | detail |