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 |
---|---|---|---|---|---|---|---|---|---|
1835 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6509 | 0.8273 | 0.7868 | [M:[1.1451, 0.7098, 0.6774, 1.3226, 0.8226], q:[0.75, 0.4274], qb:[0.4274, 0.3951], phi:[0.5]] | [M:[[2], [-4], [-1], [1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | -2 | t^2.129 + 3*t^2.468 + t^3. + 2*t^3.435 + t^3.532 + 2*t^3.968 + 3*t^4.065 + t^4.259 + 3*t^4.597 + 6*t^4.935 + t^5.129 + 3*t^5.468 + 2*t^5.565 + t^5.662 + 4*t^5.903 - 2*t^6. + 3*t^6.194 + t^6.388 + 6*t^6.435 + 6*t^6.532 + 3*t^6.726 + 2*t^6.871 + 6*t^7.065 + t^7.259 + 10*t^7.403 + 2*t^7.597 + 2*t^7.694 + t^7.791 + 5*t^7.935 + 6*t^8.032 + 3*t^8.129 + 3*t^8.323 + 6*t^8.371 - 9*t^8.468 + t^8.517 + 6*t^8.662 + 3*t^8.856 + 10*t^8.903 - t^4.5/y - t^6.629/y - t^6.968/y + t^7.065/y + (3*t^7.597)/y + (2*t^7.935)/y + t^8.032/y + t^8.129/y + t^8.371/y + (3*t^8.468)/y + (2*t^8.565)/y + t^8.662/y - t^8.759/y + (6*t^8.903)/y - t^4.5*y - t^6.629*y - t^6.968*y + t^7.065*y + 3*t^7.597*y + 2*t^7.935*y + t^8.032*y + t^8.129*y + t^8.371*y + 3*t^8.468*y + 2*t^8.565*y + t^8.662*y - t^8.759*y + 6*t^8.903*y | t^2.129/g1^4 + 3*g1*t^2.468 + t^3. + 2*g1^2*t^3.435 + t^3.532/g1 + 2*g1*t^3.968 + (3*t^4.065)/g1^2 + t^4.259/g1^8 + (3*t^4.597)/g1^3 + 6*g1^2*t^4.935 + t^5.129/g1^4 + 3*g1*t^5.468 + (2*t^5.565)/g1^2 + t^5.662/g1^5 + 4*g1^3*t^5.903 - 2*t^6. + (3*t^6.194)/g1^6 + t^6.388/g1^12 + 6*g1^2*t^6.435 + (6*t^6.532)/g1 + (3*t^6.726)/g1^7 + 2*g1^4*t^6.871 + (6*t^7.065)/g1^2 + t^7.259/g1^8 + 10*g1^3*t^7.403 + (2*t^7.597)/g1^3 + (2*t^7.694)/g1^6 + t^7.791/g1^9 + 5*g1^2*t^7.935 + (6*t^8.032)/g1 + (3*t^8.129)/g1^4 + (3*t^8.323)/g1^10 + 6*g1^4*t^8.371 - 9*g1*t^8.468 + t^8.517/g1^16 + (6*t^8.662)/g1^5 + (3*t^8.856)/g1^11 + 10*g1^3*t^8.903 - t^4.5/y - t^6.629/(g1^4*y) - (g1*t^6.968)/y + t^7.065/(g1^2*y) + (3*t^7.597)/(g1^3*y) + (2*g1^2*t^7.935)/y + t^8.032/(g1*y) + t^8.129/(g1^4*y) + (g1^4*t^8.371)/y + (3*g1*t^8.468)/y + (2*t^8.565)/(g1^2*y) + t^8.662/(g1^5*y) - t^8.759/(g1^8*y) + (6*g1^3*t^8.903)/y - t^4.5*y - (t^6.629*y)/g1^4 - g1*t^6.968*y + (t^7.065*y)/g1^2 + (3*t^7.597*y)/g1^3 + 2*g1^2*t^7.935*y + (t^8.032*y)/g1 + (t^8.129*y)/g1^4 + g1^4*t^8.371*y + 3*g1*t^8.468*y + (2*t^8.565*y)/g1^2 + (t^8.662*y)/g1^5 - (t^8.759*y)/g1^8 + 6*g1^3*t^8.903*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 |
---|---|---|---|---|---|---|---|---|
2857 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.666 | 0.8535 | 0.7803 | [M:[1.1382, 0.7236, 0.6809, 1.3191, 0.8191, 0.8191], q:[0.75, 0.4309], qb:[0.4309, 0.3882], phi:[0.5]] | t^2.171 + 4*t^2.457 + t^3. + 2*t^3.415 + 2*t^3.957 + 3*t^4.085 + t^4.342 + 4*t^4.628 + 10*t^4.915 + t^5.171 + 4*t^5.457 + 2*t^5.585 + 6*t^5.872 - 5*t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
405 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ | 0.6359 | 0.8017 | 0.7932 | [M:[1.1522, 0.6956, 0.6739, 1.3261], q:[0.75, 0.4239], qb:[0.4239, 0.4022], phi:[0.5]] | t^2.087 + 2*t^2.478 + t^3. + 2*t^3.457 + 2*t^3.522 + 2*t^3.978 + 3*t^4.043 + t^4.174 + 2*t^4.565 + 3*t^4.957 + t^5.087 + 2*t^5.478 + 2*t^5.543 + 2*t^5.609 + 2*t^5.935 - t^6. - t^4.5/y - t^4.5*y | detail |