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 |
---|---|---|---|---|---|---|---|---|---|
59382 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}M_{2}$ | 1.2014 | 1.4335 | 0.8381 | [X:[1.5714], M:[1.1429, 0.8571], q:[0.5, 0.2143], qb:[0.5, 0.2143], phi:[0.4286]] | [X:[[0, 0]], M:[[0, 0], [0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 26373/21952, c: 31469/21952, X1: 11/7, M1: 8/7, M2: 6/7, q1: 1/2, q2: 3/14, qb1: 1/2, qb2: 3/14, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$ | ${}M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ 2}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$ | 4 | 2*t^2.14 + 2*t^2.57 + t^3. + 2*t^3.43 + 2*t^3.86 + 2*t^4.07 + 4*t^4.29 + 7*t^4.71 + 2*t^4.93 + 3*t^5.14 + 2*t^5.36 + 7*t^5.57 + 2*t^5.79 + 4*t^6. + 6*t^6.21 + 10*t^6.43 + 4*t^6.64 + 14*t^6.86 + 4*t^7.07 + 12*t^7.29 + 8*t^7.5 + 17*t^7.71 + 4*t^7.93 + 14*t^8.14 + 18*t^8.36 + 15*t^8.57 + 12*t^8.79 - t^4.29/y - t^5.57/y - (2*t^6.43)/y - t^6.86/y + (3*t^7.71)/y + (3*t^8.57)/y - t^4.29*y - t^5.57*y - 2*t^6.43*y - t^6.86*y + 3*t^7.71*y + 3*t^8.57*y | (g1*t^2.14)/g2 + (g2*t^2.14)/g1 + 2*t^2.57 + t^3. + (g1*t^3.43)/g2 + (g2*t^3.43)/g1 + 2*t^3.86 + t^4.07/(g1*g2^2) + g1*g2^2*t^4.07 + 2*t^4.29 + (g1^2*t^4.29)/g2^2 + (g2^2*t^4.29)/g1^2 + t^4.71 + (3*g1*t^4.71)/g2 + (3*g2*t^4.71)/g1 + t^4.93/(g1^2*g2) + g1^2*g2*t^4.93 + 3*t^5.14 + t^5.36/(g1*g2^2) + g1*g2^2*t^5.36 + 5*t^5.57 + (g1^2*t^5.57)/g2^2 + (g2^2*t^5.57)/g1^2 + t^5.79/g2^3 + g2^3*t^5.79 - 4*t^6. + (4*g1*t^6.)/g2 + (4*g2*t^6.)/g1 + t^6.21/g2^3 + (2*t^6.21)/(g1^2*g2) + 2*g1^2*g2*t^6.21 + g2^3*t^6.21 + 4*t^6.43 + (g1^3*t^6.43)/g2^3 + (2*g1*t^6.43)/g2 + (2*g2*t^6.43)/g1 + (g2^3*t^6.43)/g1^3 + (3*t^6.64)/(g1*g2^2) - t^6.64/(g1^2*g2) - g1^2*g2*t^6.64 + 3*g1*g2^2*t^6.64 + 8*t^6.86 + (4*g1^2*t^6.86)/g2^2 - (g1*t^6.86)/g2 - (g2*t^6.86)/g1 + (4*g2^2*t^6.86)/g1^2 + t^7.07/g1^3 + g1^3*t^7.07 + t^7.07/(g1*g2^2) + g1*g2^2*t^7.07 - 2*t^7.29 + (7*g1*t^7.29)/g2 + (7*g2*t^7.29)/g1 + (2*t^7.5)/g2^3 - (2*t^7.5)/(g1*g2^2) + (4*t^7.5)/(g1^2*g2) + 4*g1^2*g2*t^7.5 - 2*g1*g2^2*t^7.5 + 2*g2^3*t^7.5 + 7*t^7.71 + (g1^3*t^7.71)/g2^3 + (4*g1*t^7.71)/g2 + (4*g2*t^7.71)/g1 + (g2^3*t^7.71)/g1^3 + (g1*t^7.93)/g2^4 - (2*t^7.93)/g2^3 + (4*t^7.93)/(g1*g2^2) - t^7.93/(g1^2*g2) - g1^2*g2*t^7.93 + 4*g1*g2^2*t^7.93 - 2*g2^3*t^7.93 + (g2^4*t^7.93)/g1 + 14*t^8.14 + t^8.14/(g1^2*g2^4) + (5*g1^2*t^8.14)/g2^2 - (6*g1*t^8.14)/g2 - (6*g2*t^8.14)/g1 + (5*g2^2*t^8.14)/g1^2 + g1^2*g2^4*t^8.14 + (4*t^8.36)/g1^3 + 4*g1^3*t^8.36 + (g1*t^8.36)/g2^4 + (2*t^8.36)/g2^3 + (3*t^8.36)/(g1*g2^2) - t^8.36/(g1^2*g2) - g1^2*g2*t^8.36 + 3*g1*g2^2*t^8.36 + 2*g2^3*t^8.36 + (g2^4*t^8.36)/g1 - 7*t^8.57 + (g1^4*t^8.57)/g2^4 + (g1^2*t^8.57)/g2^2 + (9*g1*t^8.57)/g2 + (9*g2*t^8.57)/g1 + (g2^2*t^8.57)/g1^2 + (g2^4*t^8.57)/g1^4 - (2*t^8.79)/g1^3 - 2*g1^3*t^8.79 + (5*t^8.79)/g2^3 - (4*t^8.79)/(g1*g2^2) + (7*t^8.79)/(g1^2*g2) + 7*g1^2*g2*t^8.79 - 4*g1*g2^2*t^8.79 + 5*g2^3*t^8.79 - t^4.29/y - t^5.57/y - (g1*t^6.43)/(g2*y) - (g2*t^6.43)/(g1*y) - t^6.86/y + t^7.71/y + (g1*t^7.71)/(g2*y) + (g2*t^7.71)/(g1*y) - (2*t^8.14)/y + (g1*t^8.14)/(g2*y) + (g2*t^8.14)/(g1*y) + (3*t^8.57)/y - t^4.29*y - t^5.57*y - (g1*t^6.43*y)/g2 - (g2*t^6.43*y)/g1 - t^6.86*y + t^7.71*y + (g1*t^7.71*y)/g2 + (g2*t^7.71*y)/g1 - 2*t^8.14*y + (g1*t^8.14*y)/g2 + (g2*t^8.14*y)/g1 + 3*t^8.57*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 |
---|---|---|---|---|---|---|---|---|
61006 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{3}$ | 1.2216 | 1.4716 | 0.8301 | [X:[1.5714], M:[1.1429, 0.8571, 0.7143], q:[0.5, 0.2143], qb:[0.5, 0.2143], phi:[0.4286]] | 3*t^2.14 + 2*t^2.57 + t^3. + 2*t^3.43 + t^3.86 + 2*t^4.07 + 7*t^4.29 + 9*t^4.71 + 2*t^4.93 + 4*t^5.14 + 2*t^5.36 + 9*t^5.57 + 2*t^5.79 + 3*t^6. - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y | detail | {a: 3831/3136, c: 4615/3136, X1: 11/7, M1: 8/7, M2: 6/7, M3: 5/7, q1: 1/2, q2: 3/14, qb1: 1/2, qb2: 3/14, 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 |
---|---|---|---|---|---|---|---|---|---|
57469 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ | 1.1888 | 1.412 | 0.8419 | [X:[1.5714], M:[1.1429], q:[0.5, 0.2143], qb:[0.5, 0.2143], phi:[0.4286]] | 2*t^2.14 + t^2.57 + t^3. + 3*t^3.43 + 2*t^3.86 + 2*t^4.07 + 4*t^4.29 + 5*t^4.71 + 2*t^4.93 + t^5.14 + 2*t^5.36 + 8*t^5.57 + 2*t^5.79 + 3*t^6. - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y | detail | {a: 26097/21952, c: 30997/21952, X1: 11/7, M1: 8/7, q1: 1/2, q2: 3/14, qb1: 1/2, qb2: 3/14, phi1: 3/7} |