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 |
---|---|---|---|---|---|---|---|---|---|
45238 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ | 1.8133 | 1.9411 | 0.9342 | [X:[], M:[0.8329, 1.1671, 0.8329], q:[0.4164, 0.4575], qb:[], phi:[0.3753]] | [X:[], M:[[4], [-4], [4]], q:[[2], [7]], qb:[], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}$, ${ }M_{1}q_{1}q_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{1}q_{2}^{2}$, ${ }M_{3}q_{2}^{2}$, ${ }q_{1}^{2}q_{2}^{2}$, ${ }q_{1}q_{2}^{3}$, ${ }q_{2}^{4}$ | ${2}\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.25 + 2*t^2.5 + t^2.62 + t^2.75 + t^3.62 + t^3.75 + 2*t^4.5 + 3*t^4.75 + 2*t^4.87 + 5*t^5. + 2*t^5.12 + 3*t^5.24 + t^5.37 + t^5.49 + t^6.12 + 3*t^6.25 + 2*t^6.37 + t^6.49 + 2*t^6.76 - t^6.88 + 3*t^7. + 2*t^7.13 + 8*t^7.25 + 6*t^7.37 + 11*t^7.5 + 6*t^7.62 + 7*t^7.74 + 3*t^7.87 + 3*t^7.99 + t^8.11 + t^8.24 - 2*t^8.38 + 2*t^8.62 + 4*t^8.75 + 4*t^8.87 + 4*t^8.99 - t^4.13/y - t^5.38/y - t^5.5/y - (2*t^6.38)/y - (2*t^6.62)/y - t^6.75/y - t^6.87/y - t^7.63/y - t^7.87/y - t^8./y + t^8.24/y + t^8.37/y - (3*t^8.63)/y + t^8.75/y - (2*t^8.88)/y - t^4.13*y - t^5.38*y - t^5.5*y - 2*t^6.38*y - 2*t^6.62*y - t^6.75*y - t^6.87*y - t^7.63*y - t^7.87*y - t^8.*y + t^8.24*y + t^8.37*y - 3*t^8.63*y + t^8.75*y - 2*t^8.88*y | t^2.25/g1^6 + 2*g1^4*t^2.5 + g1^9*t^2.62 + g1^14*t^2.75 + g1*t^3.62 + g1^6*t^3.75 + (2*t^4.5)/g1^12 + (3*t^4.75)/g1^2 + 2*g1^3*t^4.87 + 5*g1^8*t^5. + 2*g1^13*t^5.12 + 3*g1^18*t^5.24 + g1^23*t^5.37 + g1^28*t^5.49 + g1^5*t^6.12 + 3*g1^10*t^6.25 + 2*g1^15*t^6.37 + g1^20*t^6.49 + (2*t^6.76)/g1^18 - t^6.88/g1^13 + (3*t^7.)/g1^8 + (2*t^7.13)/g1^3 + 8*g1^2*t^7.25 + 6*g1^7*t^7.37 + 11*g1^12*t^7.5 + 6*g1^17*t^7.62 + 7*g1^22*t^7.74 + 3*g1^27*t^7.87 + 3*g1^32*t^7.99 + g1^37*t^8.11 + g1^42*t^8.24 - (2*t^8.38)/g1 + 2*g1^9*t^8.62 + 4*g1^14*t^8.75 + 4*g1^19*t^8.87 + 4*g1^24*t^8.99 - t^4.13/(g1^3*y) - t^5.38/(g1*y) - (g1^4*t^5.5)/y - (2*t^6.38)/(g1^9*y) - (2*g1*t^6.62)/y - (g1^6*t^6.75)/y - (g1^11*t^6.87)/y - t^7.63/(g1^7*y) - (g1^3*t^7.87)/y - (g1^8*t^8.)/y + (g1^18*t^8.24)/y + (g1^23*t^8.37)/y - (3*t^8.63)/(g1^15*y) + t^8.75/(g1^10*y) - (2*t^8.88)/(g1^5*y) - (t^4.13*y)/g1^3 - (t^5.38*y)/g1 - g1^4*t^5.5*y - (2*t^6.38*y)/g1^9 - 2*g1*t^6.62*y - g1^6*t^6.75*y - g1^11*t^6.87*y - (t^7.63*y)/g1^7 - g1^3*t^7.87*y - g1^8*t^8.*y + g1^18*t^8.24*y + g1^23*t^8.37*y - (3*t^8.63*y)/g1^15 + (t^8.75*y)/g1^10 - (2*t^8.88*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 |
---|---|---|---|---|---|---|---|---|
45333 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}q_{2}$ | 1.8029 | 1.9214 | 0.9383 | [X:[], M:[0.8418, 1.1582, 0.8418, 1.106], q:[0.4209, 0.4731], qb:[], phi:[0.3687]] | t^2.21 + 2*t^2.53 + t^2.84 + t^3.32 + t^3.63 + t^3.79 + 2*t^4.42 + 3*t^4.74 + t^4.89 + 5*t^5.05 + 2*t^5.36 + t^5.53 + t^5.68 + 2*t^5.84 - t^4.11/y - t^5.37/y - t^5.53/y - t^4.11*y - t^5.37*y - t^5.53*y | detail | |
45366 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ + ${ }q_{2}^{4}$ | 1.8071 | 1.9276 | 0.9375 | [X:[], M:[0.8571, 1.1429, 0.8571], q:[0.4286, 0.5], qb:[], phi:[0.3571]] | t^2.14 + 2*t^2.57 + t^2.79 + t^3. + t^3.64 + t^3.86 + 2*t^4.29 + 3*t^4.71 + 2*t^4.93 + 5*t^5.14 + 2*t^5.36 + 3*t^5.57 + t^5.79 + t^6. - 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: 158679/87808, c: 169263/87808, M1: 6/7, M2: 8/7, M3: 6/7, 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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
45087 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ | 1.7991 | 1.9156 | 0.9392 | [X:[], M:[0.8362, 1.1638], q:[0.4181, 0.4633], qb:[], phi:[0.3729]] | t^2.24 + t^2.51 + t^2.64 + t^2.78 + t^3.49 + t^3.63 + t^3.76 + 2*t^4.47 + 2*t^4.75 + 2*t^4.88 + 3*t^5.02 + t^5.15 + 2*t^5.29 + t^5.42 + t^5.56 + t^5.73 + t^6. - t^4.12/y - t^5.37/y - t^5.51/y - t^4.12*y - t^5.37*y - t^5.51*y | detail |