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 |
|---|---|---|---|---|---|---|---|---|---|
| 45161 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$ | 1.8161 | 1.9456 | 0.9335 | [X:[], M:[0.8369, 1.1631, 0.7908], q:[0.4184, 0.4645], qb:[], phi:[0.3723]] | [X:[], M:[[4], [-4], [-1]], q:[[2], [7]], qb:[], phi:[[-3]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }q_{2}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}$, ${ }M_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}^{2}$, ${ }M_{1}q_{2}^{2}$, ${ }q_{1}^{2}q_{2}^{2}$, ${ }q_{1}q_{2}^{3}$, ${ }q_{2}^{4}$, ${ }M_{2}\phi_{1}^{2}$ | ${2}\phi_{1}^{3}q_{1}q_{2}$ | 1 | t^2.23 + t^2.37 + t^2.51 + t^2.65 + t^2.79 + t^3.49 + t^3.77 + 2*t^4.47 + t^4.61 + 3*t^4.74 + 3*t^4.88 + 4*t^5.02 + 2*t^5.16 + 2*t^5.3 + t^5.44 + t^5.57 + t^5.72 + t^6. + t^6.14 + 2*t^6.28 + t^6.41 + t^6.55 + 2*t^6.7 + t^6.84 + 3*t^6.98 + 5*t^7.12 + 8*t^7.26 + 7*t^7.39 + 8*t^7.53 + 6*t^7.67 + 5*t^7.81 + 3*t^7.95 + 2*t^7.96 + 2*t^8.08 - t^8.1 + t^8.22 + 2*t^8.23 + t^8.36 - t^8.37 + 2*t^8.51 + t^8.65 + 3*t^8.79 + 2*t^8.93 + 3*t^8.94 - t^4.12/y - t^5.37/y - t^5.51/y - (2*t^6.35)/y - t^6.49/y - t^6.63/y - t^6.77/y - t^6.9/y - t^7.61/y - t^7.74/y + t^8.44/y - (3*t^8.59)/y - (2*t^8.86)/y - t^4.12*y - t^5.37*y - t^5.51*y - 2*t^6.35*y - t^6.49*y - t^6.63*y - t^6.77*y - t^6.9*y - t^7.61*y - t^7.74*y + t^8.44*y - 3*t^8.59*y - 2*t^8.86*y | t^2.23/g1^6 + t^2.37/g1 + g1^4*t^2.51 + g1^9*t^2.65 + g1^14*t^2.79 + t^3.49/g1^4 + g1^6*t^3.77 + (2*t^4.47)/g1^12 + t^4.61/g1^7 + (3*t^4.74)/g1^2 + 3*g1^3*t^4.88 + 4*g1^8*t^5.02 + 2*g1^13*t^5.16 + 2*g1^18*t^5.3 + g1^23*t^5.44 + g1^28*t^5.57 + t^5.72/g1^10 + t^6. + g1^5*t^6.14 + 2*g1^10*t^6.28 + g1^15*t^6.41 + g1^20*t^6.55 + (2*t^6.7)/g1^18 + t^6.84/g1^13 + (3*t^6.98)/g1^8 + (5*t^7.12)/g1^3 + 8*g1^2*t^7.26 + 7*g1^7*t^7.39 + 8*g1^12*t^7.53 + 6*g1^17*t^7.67 + 5*g1^22*t^7.81 + 3*g1^27*t^7.95 + (2*t^7.96)/g1^16 + 2*g1^32*t^8.08 - t^8.1/g1^11 + g1^37*t^8.22 + (2*t^8.23)/g1^6 + g1^42*t^8.36 - t^8.37/g1 + 2*g1^4*t^8.51 + g1^9*t^8.65 + 3*g1^14*t^8.79 + 2*g1^19*t^8.93 + (3*t^8.94)/g1^24 - t^4.12/(g1^3*y) - t^5.37/(g1*y) - (g1^4*t^5.51)/y - (2*t^6.35)/(g1^9*y) - t^6.49/(g1^4*y) - (g1*t^6.63)/y - (g1^6*t^6.77)/y - (g1^11*t^6.9)/y - t^7.61/(g1^7*y) - t^7.74/(g1^2*y) + (g1^23*t^8.44)/y - (3*t^8.59)/(g1^15*y) - (2*t^8.86)/(g1^5*y) - (t^4.12*y)/g1^3 - (t^5.37*y)/g1 - g1^4*t^5.51*y - (2*t^6.35*y)/g1^9 - (t^6.49*y)/g1^4 - g1*t^6.63*y - g1^6*t^6.77*y - g1^11*t^6.9*y - (t^7.61*y)/g1^7 - (t^7.74*y)/g1^2 + g1^23*t^8.44*y - (3*t^8.59*y)/g1^15 - (2*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 45386 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 1.797 | 1.9113 | 0.9402 | [X:[], M:[0.834, 1.166, 0.7915, 1.251], q:[0.417, 0.4595], qb:[], phi:[0.3745]] | t^2.37 + t^2.5 + t^2.63 + t^2.76 + t^3.5 + 2*t^3.75 + t^4.49 + 2*t^4.75 + 2*t^4.88 + 3*t^5. + 2*t^5.13 + 2*t^5.26 + t^5.39 + t^5.51 - t^4.12/y - t^5.37/y - t^5.5/y - t^4.12*y - t^5.37*y - t^5.5*y | detail | |
| 45397 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$ + ${ }M_{4}q_{1}q_{2}$ | 1.8065 | 1.9279 | 0.937 | [X:[], M:[0.8461, 1.1539, 0.7885, 1.0962], q:[0.4231, 0.4807], qb:[], phi:[0.3654]] | t^2.19 + t^2.37 + t^2.54 + t^2.88 + t^3.29 + t^3.46 + t^3.81 + 2*t^4.38 + t^4.56 + 3*t^4.73 + 2*t^4.9 + 3*t^5.08 + t^5.25 + t^5.42 + t^5.48 + 2*t^5.65 + t^5.77 + t^5.83 + t^6. - t^4.1/y - t^5.37/y - t^5.54/y - t^4.1*y - t^5.37*y - t^5.54*y | detail | |
| 45345 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$ + ${ }\phi_{1}^{4}$ + ${ }q_{2}^{2}X_{1}$ + ${ }q_{1}q_{2}X_{2}$ + ${ }M_{1}X_{3}$ | 1.4674 | 1.5404 | 0.9527 | [X:[1.6667, 1.5, 1.3333], M:[0.6667, 1.3333, 0.8333], q:[0.3333, 0.1667], qb:[], phi:[0.5]] | t^2.5 + 2*t^3. + 3*t^4. + 2*t^4.5 + 3*t^5. + t^5.5 + 2*t^6. - t^4.5/y - t^5./y - t^5.5/y - t^4.5*y - t^5.*y - t^5.5*y | detail | {a: 1127/768, c: 1183/768, X1: 5/3, X2: 3/2, X3: 4/3, M1: 2/3, M2: 4/3, M3: 5/6, q1: 1/3, q2: 1/6, phi1: 1/2} |
| 45341 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$ + ${ }q_{1}q_{2}^{3}$ | 1.8051 | 1.9274 | 0.9366 | [X:[], M:[0.8696, 1.1304, 0.7826], q:[0.4348, 0.5217], qb:[], phi:[0.3478]] | t^2.09 + t^2.35 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.91 + 2*t^4.17 + t^4.43 + 3*t^4.7 + 3*t^4.96 + 4*t^5.22 + 3*t^5.48 + 2*t^5.74 + 2*t^6. - t^4.04/y - t^5.35/y - t^5.61/y - t^4.04*y - t^5.35*y - t^5.61*y | detail | {a: 351405/194672, c: 187605/97336, M1: 20/23, M2: 26/23, M3: 18/23, q1: 10/23, q2: 12/23, phi1: 8/23} |
| 45356 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$ + ${ }q_{2}^{4}$ | 1.8119 | 1.9369 | 0.9355 | [X:[], M:[0.8571, 1.1429, 0.7857], q:[0.4286, 0.5], qb:[], phi:[0.3571]] | t^2.14 + t^2.36 + t^2.57 + t^2.79 + t^3. + t^3.43 + t^3.86 + 2*t^4.29 + t^4.5 + 3*t^4.71 + 3*t^4.93 + 4*t^5.14 + 2*t^5.36 + 3*t^5.57 + t^5.79 + 2*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: 2841/1568, c: 3037/1568, M1: 6/7, M2: 8/7, M3: 11/14, 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 |