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 |
---|---|---|---|---|---|---|---|---|---|
46210 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ | 0.6509 | 0.8273 | 0.7868 | [M:[0.8226, 0.7098, 1.1451], q:[0.75, 0.4274], qb:[0.3951, 0.4274], phi:[0.5]] | [M:[[-1], [4], [-2]], q:[[0], [1]], qb:[[-2], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -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 | g1^4*t^2.129 + (3*t^2.468)/g1 + t^3. + (2*t^3.435)/g1^2 + g1*t^3.532 + (2*t^3.968)/g1 + 3*g1^2*t^4.065 + g1^8*t^4.259 + 3*g1^3*t^4.597 + (6*t^4.935)/g1^2 + g1^4*t^5.129 + (3*t^5.468)/g1 + 2*g1^2*t^5.565 + g1^5*t^5.662 + (4*t^5.903)/g1^3 - 2*t^6. + 3*g1^6*t^6.194 + g1^12*t^6.388 + (6*t^6.435)/g1^2 + 6*g1*t^6.532 + 3*g1^7*t^6.726 + (2*t^6.871)/g1^4 + 6*g1^2*t^7.065 + g1^8*t^7.259 + (10*t^7.403)/g1^3 + 2*g1^3*t^7.597 + 2*g1^6*t^7.694 + g1^9*t^7.791 + (5*t^7.935)/g1^2 + 6*g1*t^8.032 + 3*g1^4*t^8.129 + 3*g1^10*t^8.323 + (6*t^8.371)/g1^4 - (9*t^8.468)/g1 + g1^16*t^8.517 + 6*g1^5*t^8.662 + 3*g1^11*t^8.856 + (10*t^8.903)/g1^3 - t^4.5/y - (g1^4*t^6.629)/y - t^6.968/(g1*y) + (g1^2*t^7.065)/y + (3*g1^3*t^7.597)/y + (2*t^7.935)/(g1^2*y) + (g1*t^8.032)/y + (g1^4*t^8.129)/y + t^8.371/(g1^4*y) + (3*t^8.468)/(g1*y) + (2*g1^2*t^8.565)/y + (g1^5*t^8.662)/y - (g1^8*t^8.759)/y + (6*t^8.903)/(g1^3*y) - t^4.5*y - g1^4*t^6.629*y - (t^6.968*y)/g1 + g1^2*t^7.065*y + 3*g1^3*t^7.597*y + (2*t^7.935*y)/g1^2 + g1*t^8.032*y + g1^4*t^8.129*y + (t^8.371*y)/g1^4 + (3*t^8.468*y)/g1 + 2*g1^2*t^8.565*y + g1^5*t^8.662*y - g1^8*t^8.759*y + (6*t^8.903*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
46469 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6717 | 0.8683 | 0.7736 | [M:[0.8229, 0.7086, 1.1457, 0.6771], q:[0.75, 0.4271], qb:[0.3957, 0.4271], phi:[0.5]] | t^2.031 + t^2.126 + 3*t^2.469 + t^3. + 2*t^3.437 + t^3.531 + t^3.969 + 4*t^4.063 + t^4.157 + t^4.251 + 3*t^4.5 + 3*t^4.594 + 6*t^4.937 + t^5.031 + t^5.126 + 5*t^5.469 + 3*t^5.563 + t^5.657 + 4*t^5.906 - 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 |
---|---|---|---|---|---|---|---|---|---|
46020 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.6642 | 0.8511 | 0.7804 | [M:[0.83, 0.6801], q:[0.75, 0.42], qb:[0.41, 0.42], phi:[0.5]] | t^2.04 + 3*t^2.49 + t^2.52 + t^3. + t^3.48 + t^3.51 + 2*t^3.99 + 3*t^4.02 + t^4.081 + 3*t^4.53 + t^4.56 + 6*t^4.98 + 3*t^5.01 + 2*t^5.04 + 3*t^5.49 + 2*t^5.52 + t^5.55 + t^5.97 - t^6. - t^4.5/y - t^4.5*y | detail |