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 |
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5463 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6371 | 0.8433 | 0.7554 | [M:[0.9556, 1.1331, 1.0444, 0.6996, 0.8669, 0.7884, 1.1331, 0.6895], q:[0.7389, 0.3055], qb:[0.4727, 0.3942], phi:[0.5222]] | [M:[[-4], [12], [4], [18], [-12], [26], [12], [-28]], q:[[-1], [5]], qb:[[-25], [13]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.068 + 2*t^2.099 + t^2.335 + t^2.365 + 2*t^3.133 + 3*t^3.399 + t^3.665 + t^4.137 + 3*t^4.167 + 3*t^4.198 + 2*t^4.403 + 3*t^4.433 + 2*t^4.464 + t^4.669 + t^4.7 + t^4.73 + 2*t^5.201 + 4*t^5.232 + 5*t^5.468 + 7*t^5.498 + 2*t^5.734 + 4*t^5.764 - 3*t^6. + t^6.031 + t^6.205 + 2*t^6.236 + 4*t^6.266 + 4*t^6.297 + 2*t^6.471 + 4*t^6.502 + 10*t^6.532 + 3*t^6.563 + 2*t^6.737 + 2*t^6.768 + 8*t^6.799 + 2*t^6.829 + t^7.004 - 2*t^7.034 + 2*t^7.065 + t^7.095 + t^7.27 + 2*t^7.3 + 5*t^7.331 + 6*t^7.536 + 9*t^7.567 + 11*t^7.597 + 4*t^7.802 + 5*t^7.833 + 8*t^7.863 - 4*t^8.068 - 5*t^8.099 + 4*t^8.129 + t^8.273 + 2*t^8.304 - t^8.335 + 2*t^8.365 + 6*t^8.396 + 2*t^8.54 + 4*t^8.57 + 9*t^8.601 + 14*t^8.631 + 4*t^8.662 + 3*t^8.806 + 3*t^8.836 + 9*t^8.867 + 16*t^8.897 + 3*t^8.928 - t^4.567/y - t^6.635/y - t^6.665/y - t^6.932/y + (3*t^7.167)/y + t^7.198/y + t^7.403/y + (4*t^7.433)/y + (2*t^7.464)/y - t^7.966/y + (3*t^8.201)/y + (4*t^8.232)/y + (6*t^8.468)/y + (9*t^8.498)/y - t^8.703/y + (3*t^8.734)/y + (4*t^8.764)/y - t^4.567*y - t^6.635*y - t^6.665*y - t^6.932*y + 3*t^7.167*y + t^7.198*y + t^7.403*y + 4*t^7.433*y + 2*t^7.464*y - t^7.966*y + 3*t^8.201*y + 4*t^8.232*y + 6*t^8.468*y + 9*t^8.498*y - t^8.703*y + 3*t^8.734*y + 4*t^8.764*y | t^2.068/g1^28 + 2*g1^18*t^2.099 + t^2.335/g1^20 + g1^26*t^2.365 + 2*g1^4*t^3.133 + 3*g1^12*t^3.399 + g1^20*t^3.665 + t^4.137/g1^56 + (3*t^4.167)/g1^10 + 3*g1^36*t^4.198 + (2*t^4.403)/g1^48 + (3*t^4.433)/g1^2 + 2*g1^44*t^4.464 + t^4.669/g1^40 + g1^6*t^4.7 + g1^52*t^4.73 + (2*t^5.201)/g1^24 + 4*g1^22*t^5.232 + (5*t^5.468)/g1^16 + 7*g1^30*t^5.498 + (2*t^5.734)/g1^8 + 4*g1^38*t^5.764 - 3*t^6. + g1^46*t^6.031 + t^6.205/g1^84 + (2*t^6.236)/g1^38 + 4*g1^8*t^6.266 + 4*g1^54*t^6.297 + (2*t^6.471)/g1^76 + (4*t^6.502)/g1^30 + 10*g1^16*t^6.532 + 3*g1^62*t^6.563 + (2*t^6.737)/g1^68 + (2*t^6.768)/g1^22 + 8*g1^24*t^6.799 + 2*g1^70*t^6.829 + t^7.004/g1^60 - (2*t^7.034)/g1^14 + 2*g1^32*t^7.065 + g1^78*t^7.095 + t^7.27/g1^52 + (2*t^7.3)/g1^6 + 5*g1^40*t^7.331 + (6*t^7.536)/g1^44 + 9*g1^2*t^7.567 + 11*g1^48*t^7.597 + (4*t^7.802)/g1^36 + 5*g1^10*t^7.833 + 8*g1^56*t^7.863 - (4*t^8.068)/g1^28 - 5*g1^18*t^8.099 + 4*g1^64*t^8.129 + t^8.273/g1^112 + (2*t^8.304)/g1^66 - t^8.335/g1^20 + 2*g1^26*t^8.365 + 6*g1^72*t^8.396 + (2*t^8.54)/g1^104 + (4*t^8.57)/g1^58 + (9*t^8.601)/g1^12 + 14*g1^34*t^8.631 + 4*g1^80*t^8.662 + (3*t^8.806)/g1^96 + (3*t^8.836)/g1^50 + (9*t^8.867)/g1^4 + 16*g1^42*t^8.897 + 3*g1^88*t^8.928 - (g1^2*t^4.567)/y - t^6.635/(g1^26*y) - (g1^20*t^6.665)/y - (g1^28*t^6.932)/y + (3*t^7.167)/(g1^10*y) + (g1^36*t^7.198)/y + t^7.403/(g1^48*y) + (4*t^7.433)/(g1^2*y) + (2*g1^44*t^7.464)/y - (g1^14*t^7.966)/y + (3*t^8.201)/(g1^24*y) + (4*g1^22*t^8.232)/y + (6*t^8.468)/(g1^16*y) + (9*g1^30*t^8.498)/y - t^8.703/(g1^54*y) + (3*t^8.734)/(g1^8*y) + (4*g1^38*t^8.764)/y - g1^2*t^4.567*y - (t^6.635*y)/g1^26 - g1^20*t^6.665*y - g1^28*t^6.932*y + (3*t^7.167*y)/g1^10 + g1^36*t^7.198*y + (t^7.403*y)/g1^48 + (4*t^7.433*y)/g1^2 + 2*g1^44*t^7.464*y - g1^14*t^7.966*y + (3*t^8.201*y)/g1^24 + 4*g1^22*t^8.232*y + (6*t^8.468*y)/g1^16 + 9*g1^30*t^8.498*y - (t^8.703*y)/g1^54 + (3*t^8.734*y)/g1^8 + 4*g1^38*t^8.764*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3868 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.6164 | 0.8038 | 0.7669 | [M:[0.9564, 1.1309, 1.0436, 0.6964, 0.8691, 0.7836, 1.1309], q:[0.7391, 0.3045], qb:[0.4773, 0.3918], phi:[0.5218]] | 2*t^2.089 + t^2.345 + t^2.351 + 2*t^3.131 + 3*t^3.393 + t^3.655 + t^3.916 + t^4.173 + 3*t^4.178 + t^4.429 + 2*t^4.435 + 2*t^4.44 + t^4.691 + t^4.696 + t^4.702 + 4*t^5.22 + 2*t^5.476 + 7*t^5.482 + t^5.738 + 4*t^5.744 - 3*t^6. - t^4.565/y - t^4.565*y | detail |