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 |
---|---|---|---|---|---|---|---|---|---|
1723 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}q_{2}$ | 0.6516 | 0.8309 | 0.7842 | [M:[1.131, 0.6845, 0.8155], q:[0.75, 0.4345], qb:[0.4345, 0.381], phi:[0.5]] | [M:[[2], [-1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | -1 | t^2.053 + 3*t^2.447 + t^3. + 2*t^3.393 + t^3.553 + t^3.786 + t^3.947 + 4*t^4.107 + 3*t^4.5 + 6*t^4.893 + t^5.053 + 5*t^5.447 + t^5.607 + 5*t^5.84 - t^6. + 2*t^6.16 + 3*t^6.233 + 3*t^6.393 + 9*t^6.553 + 3*t^6.786 + 5*t^6.947 + t^7.107 + 2*t^7.179 + 9*t^7.34 + 4*t^7.5 + t^7.572 + t^7.733 + 11*t^7.893 - 2*t^8.053 + 7*t^8.214 + 9*t^8.286 - 6*t^8.447 + 3*t^8.607 + 6*t^8.679 + 7*t^8.84 - t^4.5/y - t^6.553/y - t^6.947/y + t^7.107/y + (3*t^7.5)/y + (2*t^7.893)/y + (2*t^8.053)/y + (6*t^8.447)/y + (7*t^8.84)/y - t^4.5*y - t^6.553*y - t^6.947*y + t^7.107*y + 3*t^7.5*y + 2*t^7.893*y + 2*t^8.053*y + 6*t^8.447*y + 7*t^8.84*y | t^2.053/g1 + 3*g1*t^2.447 + t^3. + 2*g1^2*t^3.393 + t^3.553/g1 + g1^4*t^3.786 + g1*t^3.947 + (4*t^4.107)/g1^2 + 3*t^4.5 + 6*g1^2*t^4.893 + t^5.053/g1 + 5*g1*t^5.447 + t^5.607/g1^2 + 5*g1^3*t^5.84 - t^6. + (2*t^6.16)/g1^3 + 3*g1^5*t^6.233 + 3*g1^2*t^6.393 + (9*t^6.553)/g1 + 3*g1^4*t^6.786 + 5*g1*t^6.947 + t^7.107/g1^2 + 2*g1^6*t^7.179 + 9*g1^3*t^7.34 + 4*t^7.5 + g1^8*t^7.572 + g1^5*t^7.733 + 11*g1^2*t^7.893 - (2*t^8.053)/g1 + (7*t^8.214)/g1^4 + 9*g1^4*t^8.286 - 6*g1*t^8.447 + (3*t^8.607)/g1^2 + 6*g1^6*t^8.679 + 7*g1^3*t^8.84 - t^4.5/y - t^6.553/(g1*y) - (g1*t^6.947)/y + t^7.107/(g1^2*y) + (3*t^7.5)/y + (2*g1^2*t^7.893)/y + (2*t^8.053)/(g1*y) + (6*g1*t^8.447)/y + (7*g1^3*t^8.84)/y - t^4.5*y - (t^6.553*y)/g1 - g1*t^6.947*y + (t^7.107*y)/g1^2 + 3*t^7.5*y + 2*g1^2*t^7.893*y + (2*t^8.053*y)/g1 + 6*g1*t^8.447*y + 7*g1^3*t^8.84*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 |
---|---|---|---|---|---|---|---|---|
2727 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6673 | 0.8592 | 0.7767 | [M:[1.1206, 0.6897, 0.8103, 0.8103], q:[0.75, 0.4397], qb:[0.4397, 0.3706], phi:[0.5]] | t^2.069 + 4*t^2.431 + t^3. + 2*t^3.362 + t^3.724 + t^3.931 + 4*t^4.138 + 4*t^4.5 + 10*t^4.862 + t^5.069 + 6*t^5.431 + 7*t^5.793 - 4*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 |
---|---|---|---|---|---|---|---|---|---|
164 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6363 | 0.8037 | 0.7917 | [M:[1.1421, 0.679], q:[0.75, 0.429], qb:[0.429, 0.3921], phi:[0.5]] | t^2.037 + 2*t^2.463 + t^3. + 2*t^3.426 + 2*t^3.537 + t^3.853 + t^3.963 + 4*t^4.074 + 2*t^4.5 + 3*t^4.926 + t^5.037 + 4*t^5.463 + 2*t^5.574 + 3*t^5.889 - t^4.5/y - t^4.5*y | detail |