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 |
---|---|---|---|---|---|---|---|---|---|
57661 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0313 | 1.1146 | 0.9252 | [X:[1.5556, 1.3333], M:[], q:[0.3889, 1.1667], qb:[0.6111, 0.5], phi:[0.2222]] | [X:[[0], [0]], M:[], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 33/32, c: 107/96, X1: 14/9, X2: 4/3, q1: 7/18, q2: 7/6, qb1: 11/18, qb2: 1/2, phi1: 2/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -1 | t^2.67 + t^3. + t^3.33 + 2*t^4. + t^4.67 + 2*t^5.33 + 2*t^5.5 + t^5.67 - t^6. + 2*t^6.5 + 2*t^6.67 + t^7. + 2*t^7.33 - 2*t^7.5 + t^7.67 + 7*t^8. + t^8.33 + 2*t^8.67 + t^8./y^2 - t^3.67/y - t^4.33/y - t^6.33/y - t^6.67/y - t^7./y - (2*t^7.67)/y - t^8.33/y + t^8.67/y - t^3.67*y - t^4.33*y - t^6.33*y - t^6.67*y - t^7.*y - 2*t^7.67*y - t^8.33*y + t^8.67*y + t^8.*y^2 | t^2.67 + t^3. + t^3.33 + 2*t^4. + t^4.67 + 2*t^5.33 + t^5.5/g1^3 + g1^3*t^5.5 + t^5.67 - t^6. + t^6.5/g1^3 + g1^3*t^6.5 + 2*t^6.67 + t^7. + 2*t^7.33 - t^7.5/g1^3 - g1^3*t^7.5 + t^7.67 + 7*t^8. + t^8.33 + 2*t^8.67 + t^8./y^2 - t^3.67/y - t^4.33/y - t^6.33/y - t^6.67/y - t^7./y - (2*t^7.67)/y - t^8.33/y + t^8.67/y - t^3.67*y - t^4.33*y - t^6.33*y - t^6.67*y - t^7.*y - 2*t^7.67*y - t^8.33*y + t^8.67*y + t^8.*y^2 |
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 |
---|---|---|---|---|---|---|---|---|
60571 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.0413 | 1.1316 | 0.9202 | [X:[1.5556, 1.3333], M:[0.8889], q:[0.3889, 1.1667], qb:[0.6111, 0.5], phi:[0.2222]] | 2*t^2.67 + t^3. + 2*t^4. + t^4.67 + 4*t^5.33 + 2*t^5.5 + 2*t^5.67 - 2*t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 2699/2592, c: 2933/2592, X1: 14/9, X2: 4/3, M1: 8/9, q1: 7/18, q2: 7/6, qb1: 11/18, qb2: 1/2, phi1: 2/9} |
60146 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.0212 | 1.0976 | 0.9304 | [X:[1.5556, 1.3333], M:[1.1111], q:[0.3889, 1.1667], qb:[0.6111, 0.5], phi:[0.2222]] | t^3. + 2*t^3.33 + 2*t^4. + t^4.67 + t^5.33 + 2*t^5.5 - 2*t^6. - t^3.67/y - t^4.33/y - t^3.67*y - t^4.33*y | detail | {a: 2647/2592, c: 2845/2592, X1: 14/9, X2: 4/3, M1: 10/9, q1: 7/18, q2: 7/6, qb1: 11/18, qb2: 1/2, phi1: 2/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
47937 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.0755 | 1.2031 | 0.8939 | [X:[1.493], q:[0.3263, 1.0728], qb:[0.6737, 0.4062], phi:[0.2535]] | t^2.198 + t^2.281 + t^2.958 + t^3. + t^3.719 + t^4.395 + t^4.437 + 2*t^4.479 + t^4.563 + t^5.156 + t^5.198 + 2*t^5.219 + 2*t^5.24 + 2*t^5.916 + 2*t^5.937 + t^5.958 - t^6. - t^3.76/y - t^4.521/y - t^5.958/y - t^3.76*y - t^4.521*y - t^5.958*y | detail |