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 |
---|---|---|---|---|---|---|---|---|---|
46580 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.5243 | 0.6766 | 0.775 | [M:[0.7819, 0.8272, 1.1728, 0.7366], q:[0.6317, 0.9774], qb:[0.1955, 0.6317], phi:[0.3909]] | [M:[[-4], [6], [-6], [-14]], q:[[7], [-5]], qb:[[-1], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -3 | t^2.21 + 3*t^2.346 + 2*t^2.482 + t^3.518 + t^4.42 + 3*t^4.555 + 7*t^4.691 + 7*t^4.827 + 4*t^4.963 + t^5.728 + t^5.864 - 3*t^6. - 2*t^6.136 + t^6.629 + 3*t^6.765 + 7*t^6.901 + 14*t^7.037 + 12*t^7.173 + 8*t^7.309 + 5*t^7.445 + t^7.938 + t^8.074 - 3*t^8.21 - 11*t^8.346 - 14*t^8.482 - 6*t^8.617 + t^8.839 + 3*t^8.975 - t^4.173/y - t^6.383/y - (2*t^6.518)/y + (3*t^7.555)/y + (5*t^7.691)/y + (8*t^7.827)/y + (2*t^7.963)/y - t^8.592/y - t^8.728/y - t^4.173*y - t^6.383*y - 2*t^6.518*y + 3*t^7.555*y + 5*t^7.691*y + 8*t^7.827*y + 2*t^7.963*y - t^8.592*y - t^8.728*y | t^2.21/g1^14 + (3*t^2.346)/g1^4 + 2*g1^6*t^2.482 + t^3.518/g1^6 + t^4.42/g1^28 + (3*t^4.555)/g1^18 + (7*t^4.691)/g1^8 + 7*g1^2*t^4.827 + 4*g1^12*t^4.963 + t^5.728/g1^20 + t^5.864/g1^10 - 3*t^6. - 2*g1^10*t^6.136 + t^6.629/g1^42 + (3*t^6.765)/g1^32 + (7*t^6.901)/g1^22 + (14*t^7.037)/g1^12 + (12*t^7.173)/g1^2 + 8*g1^8*t^7.309 + 5*g1^18*t^7.445 + t^7.938/g1^34 + t^8.074/g1^24 - (3*t^8.21)/g1^14 - (11*t^8.346)/g1^4 - 14*g1^6*t^8.482 - 6*g1^16*t^8.617 + t^8.839/g1^56 + (3*t^8.975)/g1^46 - t^4.173/(g1^2*y) - t^6.383/(g1^16*y) - (2*t^6.518)/(g1^6*y) + (3*t^7.555)/(g1^18*y) + (5*t^7.691)/(g1^8*y) + (8*g1^2*t^7.827)/y + (2*g1^12*t^7.963)/y - t^8.592/(g1^30*y) - t^8.728/(g1^20*y) - (t^4.173*y)/g1^2 - (t^6.383*y)/g1^16 - (2*t^6.518*y)/g1^6 + (3*t^7.555*y)/g1^18 + (5*t^7.691*y)/g1^8 + 8*g1^2*t^7.827*y + 2*g1^12*t^7.963*y - (t^8.592*y)/g1^30 - (t^8.728*y)/g1^20 |
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 |
---|---|---|---|---|---|---|---|---|
48137 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ | 0.4865 | 0.6294 | 0.773 | [M:[0.8571, 0.7143, 1.2857, 1.0], q:[0.5, 1.0714], qb:[0.2143, 0.5], phi:[0.4286]] | 2*t^2.143 + 3*t^2.571 + t^3. + t^3.857 + 4*t^4.286 + 7*t^4.714 + 7*t^5.143 + t^5.571 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 1335/2744, c: 1727/2744, M1: 6/7, M2: 5/7, M3: 9/7, M4: 1, q1: 1/2, q2: 15/14, qb1: 3/14, qb2: 1/2, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
46092 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5056 | 0.6427 | 0.7867 | [M:[0.7952, 0.8071, 1.1929], q:[0.6083, 0.9941], qb:[0.1988, 0.6083], phi:[0.3976]] | 3*t^2.386 + 2*t^2.421 + t^3.579 + t^3.65 + 5*t^4.771 + 7*t^4.807 + 4*t^4.843 + t^5.964 - 3*t^6. - t^4.193/y - t^4.193*y | detail |