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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2727 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 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]] | [M:[[2], [-1], [1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}$ | -4 | 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. + 4*t^6.155 + 2*t^6.207 + 4*t^6.362 + 12*t^6.569 + 3*t^6.724 + 7*t^6.931 + 2*t^7.086 + 18*t^7.293 + t^7.448 + 4*t^7.5 + t^7.655 - 4*t^7.707 + 17*t^7.862 - 5*t^8.069 + 16*t^8.224 + 7*t^8.276 - 16*t^8.431 + 10*t^8.586 + 4*t^8.638 + 11*t^8.793 - t^4.5/y - t^6.569/y - (2*t^6.931)/y + t^7.138/y + (4*t^7.5)/y + (5*t^7.862)/y + (3*t^8.069)/y + (7*t^8.431)/y - t^8.638/y + (9*t^8.793)/y - t^4.5*y - t^6.569*y - 2*t^6.931*y + t^7.138*y + 4*t^7.5*y + 5*t^7.862*y + 3*t^8.069*y + 7*t^8.431*y - t^8.638*y + 9*t^8.793*y | t^2.069/g1 + 4*g1*t^2.431 + t^3. + 2*g1^2*t^3.362 + g1^4*t^3.724 + g1*t^3.931 + (4*t^4.138)/g1^2 + 4*t^4.5 + 10*g1^2*t^4.862 + t^5.069/g1 + 6*g1*t^5.431 + 7*g1^3*t^5.793 - 4*t^6. + 4*g1^5*t^6.155 + (2*t^6.207)/g1^3 + 4*g1^2*t^6.362 + (12*t^6.569)/g1 + 3*g1^4*t^6.724 + 7*g1*t^6.931 + 2*g1^6*t^7.086 + 18*g1^3*t^7.293 + g1^8*t^7.448 + 4*t^7.5 + g1^5*t^7.655 - (4*t^7.707)/g1^3 + 17*g1^2*t^7.862 - (5*t^8.069)/g1 + 16*g1^4*t^8.224 + (7*t^8.276)/g1^4 - 16*g1*t^8.431 + 10*g1^6*t^8.586 + (4*t^8.638)/g1^2 + 11*g1^3*t^8.793 - t^4.5/y - t^6.569/(g1*y) - (2*g1*t^6.931)/y + t^7.138/(g1^2*y) + (4*t^7.5)/y + (5*g1^2*t^7.862)/y + (3*t^8.069)/(g1*y) + (7*g1*t^8.431)/y - t^8.638/(g1^2*y) + (9*g1^3*t^8.793)/y - t^4.5*y - (t^6.569*y)/g1 - 2*g1*t^6.931*y + (t^7.138*y)/g1^2 + 4*t^7.5*y + 5*g1^2*t^7.862*y + (3*t^8.069*y)/g1 + 7*g1*t^8.431*y - (t^8.638*y)/g1^2 + 9*g1^3*t^8.793*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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. - t^4.5/y - t^4.5*y | detail |