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 |
---|---|---|---|---|---|---|---|---|---|
1352 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6352 | 0.8516 | 0.7459 | [M:[0.9231, 1.2307, 0.9231, 0.7693, 0.6922, 0.6922], q:[0.7308, 0.3461], qb:[0.3461, 0.4232], phi:[0.5384]] | [M:[[4], [-12], [4], [12], [-10], [-10]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{2}M_{4}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$ | 1 | 3*t^2.077 + 2*t^2.308 + 2*t^2.769 + t^3.231 + t^3.462 + 3*t^3.692 + 6*t^4.153 + t^4.155 + 6*t^4.385 + 3*t^4.616 + 6*t^4.846 + 4*t^5.077 + 3*t^5.307 + 7*t^5.539 + 7*t^5.769 + 2*t^5.77 + t^6. + 10*t^6.23 + 2*t^6.231 + 14*t^6.461 + 2*t^6.463 + 7*t^6.693 + 12*t^6.923 + 6*t^6.924 + 9*t^7.154 + 9*t^7.384 + 5*t^7.385 + 10*t^7.615 + t^7.617 + 12*t^7.845 + 10*t^7.847 - t^8.077 + 3*t^8.078 + 15*t^8.307 + 4*t^8.308 + t^8.31 + 22*t^8.538 + 4*t^8.539 + 6*t^8.769 + 3*t^8.771 + 19*t^8.999 - t^4.615/y - (2*t^6.692)/y + (3*t^7.153)/y + (5*t^7.385)/y + t^7.616/y + (7*t^7.846)/y + (4*t^8.077)/y + (3*t^8.307)/y + (8*t^8.539)/y + (6*t^8.769)/y + (2*t^8.77)/y - t^4.615*y - 2*t^6.692*y + 3*t^7.153*y + 5*t^7.385*y + t^7.616*y + 7*t^7.846*y + 4*t^8.077*y + 3*t^8.307*y + 8*t^8.539*y + 6*t^8.769*y + 2*t^8.77*y | (3*t^2.077)/g1^10 + 2*g1^12*t^2.308 + 2*g1^4*t^2.769 + t^3.231/g1^4 + g1^18*t^3.462 + (3*t^3.692)/g1^12 + (6*t^4.153)/g1^20 + g1^32*t^4.155 + 6*g1^2*t^4.385 + 3*g1^24*t^4.616 + (6*t^4.846)/g1^6 + 4*g1^16*t^5.077 + (3*t^5.307)/g1^14 + 7*g1^8*t^5.539 + (7*t^5.769)/g1^22 + 2*g1^30*t^5.77 + t^6. + (10*t^6.23)/g1^30 + 2*g1^22*t^6.231 + (14*t^6.461)/g1^8 + 2*g1^44*t^6.463 + 7*g1^14*t^6.693 + (12*t^6.923)/g1^16 + 6*g1^36*t^6.924 + 9*g1^6*t^7.154 + (9*t^7.384)/g1^24 + 5*g1^28*t^7.385 + (10*t^7.615)/g1^2 + g1^50*t^7.617 + (12*t^7.845)/g1^32 + 10*g1^20*t^7.847 - t^8.077/g1^10 + 3*g1^42*t^8.078 + (15*t^8.307)/g1^40 + 4*g1^12*t^8.308 + g1^64*t^8.31 + (22*t^8.538)/g1^18 + 4*g1^34*t^8.539 + 6*g1^4*t^8.769 + 3*g1^56*t^8.771 + (19*t^8.999)/g1^26 - t^4.615/(g1^2*y) - (2*t^6.692)/(g1^12*y) + (3*t^7.153)/(g1^20*y) + (5*g1^2*t^7.385)/y + (g1^24*t^7.616)/y + (7*t^7.846)/(g1^6*y) + (4*g1^16*t^8.077)/y + (3*t^8.307)/(g1^14*y) + (8*g1^8*t^8.539)/y + (6*t^8.769)/(g1^22*y) + (2*g1^30*t^8.77)/y - (t^4.615*y)/g1^2 - (2*t^6.692*y)/g1^12 + (3*t^7.153*y)/g1^20 + 5*g1^2*t^7.385*y + g1^24*t^7.616*y + (7*t^7.846*y)/g1^6 + 4*g1^16*t^8.077*y + (3*t^8.307*y)/g1^14 + 8*g1^8*t^8.539*y + (6*t^8.769*y)/g1^22 + 2*g1^30*t^8.77*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 |
---|---|---|---|---|---|---|---|---|
2413 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6536 | 0.8848 | 0.7387 | [M:[0.9204, 1.2389, 0.9204, 0.7611, 0.6991, 0.6991, 0.7611], q:[0.7301, 0.3495], qb:[0.3495, 0.4116], phi:[0.5398]] | 3*t^2.097 + 3*t^2.283 + 2*t^2.761 + t^3.239 + t^3.425 + 2*t^3.717 + t^4.089 + 6*t^4.195 + 9*t^4.381 + 6*t^4.567 + 6*t^4.858 + 6*t^5.044 + 3*t^5.336 + 8*t^5.522 + 3*t^5.708 + 4*t^5.814 + t^6. - t^4.619/y - t^4.619*y | detail | |
2414 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6424 | 0.8636 | 0.7438 | [M:[0.9213, 1.236, 0.9213, 0.764, 0.6967, 0.6967, 0.9213], q:[0.7303, 0.3483], qb:[0.3483, 0.4157], phi:[0.5393]] | 3*t^2.09 + 2*t^2.292 + 3*t^2.764 + t^3.438 + 3*t^3.708 + t^4.112 + 6*t^4.18 + 6*t^4.382 + 3*t^4.584 + 9*t^4.854 + 6*t^5.056 + 8*t^5.528 + 2*t^5.73 + 7*t^5.798 - t^6. - t^4.618/y - t^4.618*y | detail | |
2412 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6496 | 0.8775 | 0.7403 | [M:[0.9292, 1.2124, 0.9292, 0.7876, 0.677, 0.677, 0.8186], q:[0.7323, 0.3385], qb:[0.3385, 0.4491], phi:[0.5354]] | 3*t^2.031 + 2*t^2.363 + t^2.456 + 2*t^2.788 + t^3.212 + 3*t^3.637 + 6*t^4.062 + t^4.301 + 6*t^4.394 + 3*t^4.487 + 3*t^4.726 + 8*t^4.819 + t^4.912 + 4*t^5.15 + 5*t^5.243 + 4*t^5.575 + 8*t^5.668 + t^6. - t^4.606/y - t^4.606*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 |
---|---|---|---|---|---|---|---|---|---|
858 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6146 | 0.8118 | 0.7571 | [M:[0.9224, 1.2329, 0.9224, 0.7671, 0.6941], q:[0.7306, 0.347], qb:[0.347, 0.4201], phi:[0.5388]] | 2*t^2.082 + 2*t^2.301 + 2*t^2.767 + t^3.233 + t^3.452 + 3*t^3.699 + t^3.918 + t^4.137 + 3*t^4.164 + 4*t^4.384 + 3*t^4.603 + 4*t^4.849 + 4*t^5.068 + 2*t^5.315 + 6*t^5.534 + 2*t^5.753 + 4*t^5.781 + 3*t^6. - t^4.616/y - t^4.616*y | detail |