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 |
---|---|---|---|---|---|---|---|---|---|
45332 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{1}q_{2}$ | 1.8046 | 1.9263 | 0.9368 | [X:[], M:[0.8422, 1.1578, 1.1578, 0.7367], q:[0.4211, 0.4738], qb:[], phi:[0.3684]] | [X:[], M:[[4], [-4], [-4], [-6]], q:[[2], [7]], qb:[], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }q_{2}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}$, ${ }M_{4}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}$, ${ }q_{1}^{2}q_{2}^{2}$, ${ }q_{1}q_{2}^{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{2}^{4}$, ${ }M_{4}\phi_{1}^{2}q_{2}$, ${ }\phi_{1}^{4}q_{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | -1 | 2*t^2.21 + t^2.68 + t^2.84 + 2*t^3.47 + t^3.63 + 4*t^4.42 + t^4.74 + 3*t^4.89 + 3*t^5.05 + t^5.37 + t^5.53 + 4*t^5.68 + t^5.69 + t^5.84 - t^6. + t^6.16 + 3*t^6.32 + t^6.47 + 6*t^6.63 - t^6.79 + 3*t^6.95 + 7*t^7.11 + 6*t^7.26 + t^7.42 + 3*t^7.58 + 4*t^7.74 + 8*t^7.89 + 3*t^7.9 + 2*t^8.05 + 4*t^8.37 + 7*t^8.53 + 8*t^8.84 - t^4.11/y - t^5.37/y - t^5.53/y - (3*t^6.32)/y - t^6.79/y - t^6.95/y + t^7.42/y - (4*t^7.58)/y - (3*t^7.74)/y + (3*t^7.89)/y + t^8.05/y - (2*t^8.21)/y - t^8.37/y - (5*t^8.53)/y + (5*t^8.68)/y + t^8.84/y - t^4.11*y - t^5.37*y - t^5.53*y - 3*t^6.32*y - t^6.79*y - t^6.95*y + t^7.42*y - 4*t^7.58*y - 3*t^7.74*y + 3*t^7.89*y + t^8.05*y - 2*t^8.21*y - t^8.37*y - 5*t^8.53*y + 5*t^8.68*y + t^8.84*y | (2*t^2.21)/g1^6 + g1^9*t^2.68 + g1^14*t^2.84 + (2*t^3.47)/g1^4 + g1*t^3.63 + (4*t^4.42)/g1^12 + t^4.74/g1^2 + 3*g1^3*t^4.89 + 3*g1^8*t^5.05 + g1^18*t^5.37 + g1^23*t^5.53 + (4*t^5.68)/g1^10 + g1^28*t^5.69 + t^5.84/g1^5 - t^6. + g1^5*t^6.16 + 3*g1^10*t^6.32 + g1^15*t^6.47 + (6*t^6.63)/g1^18 - t^6.79/g1^13 + (3*t^6.95)/g1^8 + (7*t^7.11)/g1^3 + 6*g1^2*t^7.26 + g1^7*t^7.42 + 3*g1^12*t^7.58 + 4*g1^17*t^7.74 + (8*t^7.89)/g1^16 + 3*g1^22*t^7.9 + t^8.05/g1^11 + g1^27*t^8.05 - t^8.21/g1^6 + g1^32*t^8.21 + (3*t^8.37)/g1 + g1^37*t^8.37 + 6*g1^4*t^8.53 + g1^42*t^8.53 + (9*t^8.84)/g1^24 - g1^14*t^8.84 - t^4.11/(g1^3*y) - t^5.37/(g1*y) - (g1^4*t^5.53)/y - (3*t^6.32)/(g1^9*y) - (g1^6*t^6.79)/y - (g1^11*t^6.95)/y + t^7.42/(g1^12*y) - (4*t^7.58)/(g1^7*y) - (3*t^7.74)/(g1^2*y) + (3*g1^3*t^7.89)/y + (g1^8*t^8.05)/y - (2*g1^13*t^8.21)/y - (g1^18*t^8.37)/y - (6*t^8.53)/(g1^15*y) + (g1^23*t^8.53)/y + (5*t^8.68)/(g1^10*y) + t^8.84/(g1^5*y) - (t^4.11*y)/g1^3 - (t^5.37*y)/g1 - g1^4*t^5.53*y - (3*t^6.32*y)/g1^9 - g1^6*t^6.79*y - g1^11*t^6.95*y + (t^7.42*y)/g1^12 - (4*t^7.58*y)/g1^7 - (3*t^7.74*y)/g1^2 + 3*g1^3*t^7.89*y + g1^8*t^8.05*y - 2*g1^13*t^8.21*y - g1^18*t^8.37*y - (6*t^8.53*y)/g1^15 + g1^23*t^8.53*y + (5*t^8.68*y)/g1^10 + (t^8.84*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
45520 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{1}q_{2}$ + ${ }q_{2}^{4}$ | 1.8022 | 1.9227 | 0.9373 | [X:[], M:[0.8571, 1.1429, 1.1429, 0.7143], q:[0.4286, 0.5], qb:[], phi:[0.3571]] | 2*t^2.14 + t^2.79 + t^3. + 2*t^3.43 + t^3.64 + 4*t^4.29 + t^4.71 + 3*t^4.93 + 3*t^5.14 + 5*t^5.57 + 2*t^5.79 - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y | detail | {a: 158247/87808, c: 168831/87808, M1: 6/7, M2: 8/7, M3: 8/7, M4: 5/7, q1: 3/7, q2: 1/2, phi1: 5/14} |
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 |
---|---|---|---|---|---|---|---|---|---|
45228 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ | 1.7851 | 1.8908 | 0.9441 | [X:[], M:[0.8396, 1.1604, 1.1604], q:[0.4198, 0.4694], qb:[], phi:[0.3703]] | t^2.22 + t^2.67 + t^2.82 + 2*t^3.48 + t^3.63 + t^3.78 + 2*t^4.44 + t^4.74 + 2*t^4.89 + 2*t^5.04 + t^5.34 + t^5.48 + t^5.63 + 2*t^5.7 - t^4.11/y - t^5.37/y - t^5.52/y - t^4.11*y - t^5.37*y - t^5.52*y | detail |