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 |
---|---|---|---|---|---|---|---|---|---|
222 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.6489 | 0.7809 | 0.831 | [X:[1.3333], M:[0.6667, 1.1111], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | [X:[[0]], M:[[0], [0]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 841/1296, c: 253/324, X1: 4/3, M1: 2/3, M2: 10/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$ | ${}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | -1 | t^2.667 + 2*t^3. + t^3.333 + 2*t^3.667 + 4*t^4. + 2*t^4.333 + t^4.667 + t^5.333 - t^6. + 6*t^6.667 + 6*t^7. + 4*t^7.333 + 6*t^7.667 + 10*t^8. + 4*t^8.333 - t^8.667 - t^4.333/y + (2*t^8.667)/y - t^4.333*y + 2*t^8.667*y | t^2.667 + t^3./g1 + g1*t^3. + t^3.333 + t^3.667/g1 + g1*t^3.667 + 2*t^4. + t^4./g1^2 + g1^2*t^4. + t^4.333/g1 + g1*t^4.333 + t^4.667 + t^5.333 - t^6. + 2*t^6.667 + (2*t^6.667)/g1^2 + 2*g1^2*t^6.667 + t^7./g1^3 + (2*t^7.)/g1 + 2*g1*t^7. + g1^3*t^7. + 2*t^7.333 + t^7.333/g1^2 + g1^2*t^7.333 + t^7.667/g1^3 + (2*t^7.667)/g1 + 2*g1*t^7.667 + g1^3*t^7.667 + 4*t^8. + t^8./g1^4 + (2*t^8.)/g1^2 + 2*g1^2*t^8. + g1^4*t^8. + t^8.333/g1^3 + t^8.333/g1 + g1*t^8.333 + g1^3*t^8.333 - t^8.667 - t^4.333/y + t^8.667/(g1*y) + (g1*t^8.667)/y - t^4.333*y + (t^8.667*y)/g1 + g1*t^8.667*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 |
---|---|---|---|---|---|---|---|---|
354 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{3}$ | 0.659 | 0.7978 | 0.8259 | [X:[1.3333], M:[0.6667, 1.1111, 0.8889], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | 2*t^2.667 + 2*t^3. + 2*t^3.667 + 4*t^4. + 2*t^4.333 + t^4.667 + 3*t^5.333 + 2*t^5.667 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 427/648, c: 517/648, X1: 4/3, M1: 2/3, M2: 10/9, M3: 8/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
132 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6721 | 0.8254 | 0.8143 | [M:[0.715, 1.095], q:[0.7738, 0.5113], qb:[0.4525, 0.4525], phi:[0.4525]] | t^2.145 + t^2.715 + 2*t^2.891 + t^3.285 + 2*t^3.679 + 3*t^4.072 + 2*t^4.249 + t^4.29 + t^4.425 + t^4.86 + 2*t^5.036 + 2*t^5.43 + 2*t^5.606 + 3*t^5.783 - 4*t^6. - t^4.357/y - t^4.357*y | detail |