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 |
|---|---|---|---|---|---|---|---|---|---|
| 45187 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ | 1.7948 | 1.9065 | 0.9414 | [X:[], M:[0.852, 1.148, 1.0181], q:[0.426, 0.491], qb:[], phi:[0.361]] | [X:[], M:[[4], [-4], [-14]], q:[[2], [7]], qb:[], phi:[[-3]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_1$, $ q_1q_2$, $ M_3$, $ M_2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_3\phi_1^2$, $ M_1q_1q_2$, $ q_1^2q_2^2$, $ M_1M_3$, $ M_2\phi_1^2$, $ \phi_1^4q_2$ | $2\phi_1^3q_1q_2$ | 1 | t^2.17 + t^2.56 + t^2.75 + t^3.05 + t^3.44 + t^3.64 + t^3.83 + 2*t^4.33 + 2*t^4.72 + 2*t^4.92 + 2*t^5.11 + t^5.22 + t^5.31 + t^5.5 + 2*t^5.61 + t^5.81 + t^6. + t^6.11 + t^6.19 + 2*t^6.39 + 3*t^6.5 + t^6.58 + 3*t^6.89 + 3*t^7.08 + 4*t^7.28 + 2*t^7.39 + 4*t^7.47 + 4*t^7.67 + 4*t^7.78 + 2*t^7.86 + 2*t^7.97 + t^8.06 + 4*t^8.17 + t^8.25 + t^8.27 + t^8.36 + 3*t^8.56 + 5*t^8.66 + 2*t^8.75 + 2*t^8.95 - t^4.08/y - t^5.36/y - t^5.56/y - (2*t^6.25)/y - t^6.64/y - t^6.83/y - t^7.14/y - (2*t^7.53)/y - t^7.72/y - (2*t^8.11)/y + t^8.22/y - (4*t^8.42)/y + (2*t^8.61)/y - t^4.08*y - t^5.36*y - t^5.56*y - 2*t^6.25*y - t^6.64*y - t^6.83*y - t^7.14*y - 2*t^7.53*y - t^7.72*y - 2*t^8.11*y + t^8.22*y - 4*t^8.42*y + 2*t^8.61*y | t^2.17/g1^6 + g1^4*t^2.56 + g1^9*t^2.75 + t^3.05/g1^14 + t^3.44/g1^4 + g1*t^3.64 + g1^6*t^3.83 + (2*t^4.33)/g1^12 + (2*t^4.72)/g1^2 + 2*g1^3*t^4.92 + 2*g1^8*t^5.11 + t^5.22/g1^20 + g1^13*t^5.31 + g1^18*t^5.5 + (2*t^5.61)/g1^10 + t^5.81/g1^5 + t^6. + t^6.11/g1^28 + g1^5*t^6.19 + 2*g1^10*t^6.39 + (3*t^6.5)/g1^18 + g1^15*t^6.58 + (3*t^6.89)/g1^8 + (3*t^7.08)/g1^3 + 4*g1^2*t^7.28 + (2*t^7.39)/g1^26 + 4*g1^7*t^7.47 + 4*g1^12*t^7.67 + (4*t^7.78)/g1^16 + 2*g1^17*t^7.86 + (2*t^7.97)/g1^11 + g1^22*t^8.06 + (4*t^8.17)/g1^6 + g1^27*t^8.25 + t^8.27/g1^34 + t^8.36/g1 + 3*g1^4*t^8.56 + (5*t^8.66)/g1^24 + 2*g1^9*t^8.75 + 2*g1^14*t^8.95 - t^4.08/(g1^3*y) - t^5.36/(g1*y) - (g1^4*t^5.56)/y - (2*t^6.25)/(g1^9*y) - (g1*t^6.64)/y - (g1^6*t^6.83)/y - t^7.14/(g1^17*y) - (2*t^7.53)/(g1^7*y) - t^7.72/(g1^2*y) - (2*g1^8*t^8.11)/y + t^8.22/(g1^20*y) - (4*t^8.42)/(g1^15*y) + (2*t^8.61)/(g1^10*y) - (t^4.08*y)/g1^3 - (t^5.36*y)/g1 - g1^4*t^5.56*y - (2*t^6.25*y)/g1^9 - g1*t^6.64*y - g1^6*t^6.83*y - (t^7.14*y)/g1^17 - (2*t^7.53*y)/g1^7 - (t^7.72*y)/g1^2 - 2*g1^8*t^8.11*y + (t^8.22*y)/g1^20 - (4*t^8.42*y)/g1^15 + (2*t^8.61*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45317 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_1M_4$ | 1.782 | 1.8846 | 0.9456 | [X:[], M:[0.8558, 1.1442, 1.0048, 1.1442], q:[0.4279, 0.4976], qb:[], phi:[0.3582]] | t^2.15 + t^2.78 + t^3.01 + 2*t^3.43 + t^3.64 + t^3.85 + 2*t^4.3 + t^4.72 + 2*t^4.93 + t^5.13 + t^5.16 + t^5.55 + 2*t^5.58 + 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 | |
| 45358 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_2M_4$ | 1.8079 | 1.9291 | 0.9372 | [X:[], M:[0.8483, 1.1517, 1.0311, 0.8483], q:[0.4241, 0.4844], qb:[], phi:[0.3638]] | t^2.18 + 2*t^2.54 + t^2.73 + t^3.09 + t^3.64 + t^3.82 + 2*t^4.37 + 3*t^4.73 + 2*t^4.91 + 4*t^5.09 + 2*t^5.27 + t^5.28 + t^5.45 + 2*t^5.64 + t^5.82 - t^4.09/y - t^5.36/y - t^5.54/y - t^4.09*y - t^5.36*y - t^5.54*y | detail | |
| 45364 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_4\phi_1q_1q_2$ | 1.8149 | 1.9441 | 0.9335 | [X:[], M:[0.854, 1.146, 1.011, 0.719], q:[0.427, 0.4945], qb:[], phi:[0.3595]] | 2*t^2.16 + t^2.56 + t^2.76 + t^3.03 + t^3.44 + t^3.64 + 4*t^4.31 + 3*t^4.72 + 3*t^4.92 + 2*t^5.12 + 2*t^5.19 + t^5.33 + t^5.53 + 3*t^5.6 + 2*t^5.8 - t^4.08/y - t^5.36/y - t^5.56/y - t^4.08*y - t^5.36*y - t^5.56*y | detail | |
| 45311 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_4\phi_1^2q_2$ | 1.8121 | 1.9371 | 0.9355 | [X:[], M:[0.8527, 1.1473, 1.0157, 0.7868], q:[0.4263, 0.4922], qb:[], phi:[0.3605]] | t^2.16 + t^2.36 + t^2.56 + t^2.76 + t^3.05 + t^3.44 + t^3.84 + 2*t^4.33 + t^4.52 + 3*t^4.72 + 3*t^4.92 + 3*t^5.12 + t^5.21 + t^5.31 + t^5.41 + t^5.51 + 2*t^5.61 + t^5.8 + t^6. - t^4.08/y - t^5.36/y - t^5.56/y - t^4.08*y - t^5.36*y - t^5.56*y | detail | |
| 45340 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_4\phi_1^2$ | 1.7748 | 1.8694 | 0.9494 | [X:[], M:[0.8497, 1.1503, 1.026, 1.2746], q:[0.4249, 0.487], qb:[], phi:[0.3627]] | t^2.55 + t^2.74 + t^3.08 + t^3.45 + t^3.64 + 2*t^3.82 + t^4.35 + t^4.73 + t^4.91 + 2*t^5.1 + t^5.28 + t^5.47 + t^5.63 - t^4.09/y - t^5.36/y - t^5.55/y - t^4.09*y - t^5.36*y - t^5.55*y | detail | |
| 45371 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3q_2^2$ + $ M_4q_1q_2$ | 1.7882 | 1.8959 | 0.9432 | [X:[], M:[0.8621, 1.1379, 0.9828, 1.0604], q:[0.431, 0.5086], qb:[], phi:[0.3535]] | t^2.12 + t^2.59 + t^2.95 + t^3.18 + t^3.41 + t^3.65 + t^3.88 + 2*t^4.24 + 2*t^4.71 + t^4.94 + t^5.07 + 2*t^5.17 + t^5.3 + 2*t^5.53 + t^5.77 + t^5.9 + t^6. - t^4.06/y - t^5.35/y - t^5.59/y - t^4.06*y - t^5.35*y - t^5.59*y | detail |
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 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_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 |