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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[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$, $ q_1q_2$, $ q_2^2$, $ 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_1q_1q_2$, $ M_1q_2^2$, $ q_1^2q_2^2$, $ q_1q_2^3$, $ q_2^4$, $ M_2\phi_1^2$ | $2\phi_1^3q_1q_2$ | 1 | 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^6.14 + 3*t^6.27 + 2*t^6.41 + t^6.54 + 2*t^6.71 - t^6.85 + 2*t^6.98 + 3*t^7.12 + 6*t^7.25 + 4*t^7.39 + 6*t^7.53 + 4*t^7.66 + 4*t^7.8 + 2*t^7.93 + 2*t^7.97 + 2*t^8.07 + t^8.2 + 2*t^8.24 + t^8.34 + 3*t^8.51 + 2*t^8.64 + 3*t^8.78 + 3*t^8.92 + 3*t^8.95 - t^4.12/y - t^5.37/y - t^5.51/y - (2*t^6.36)/y - t^6.63/y - t^6.76/y - t^6.9/y - (2*t^7.61)/y - t^7.75/y - t^8.02/y - t^8.15/y + t^8.42/y - (3*t^8.59)/y + (2*t^8.73)/y - t^8.86/y - t^4.12*y - t^5.37*y - t^5.51*y - 2*t^6.36*y - t^6.63*y - t^6.76*y - t^6.9*y - 2*t^7.61*y - t^7.75*y - t^8.02*y - t^8.15*y + t^8.42*y - 3*t^8.59*y + 2*t^8.73*y - t^8.86*y | t^2.24/g1^6 + g1^4*t^2.51 + g1^9*t^2.64 + g1^14*t^2.78 + t^3.49/g1^4 + g1*t^3.63 + g1^6*t^3.76 + (2*t^4.47)/g1^12 + (2*t^4.75)/g1^2 + 2*g1^3*t^4.88 + 3*g1^8*t^5.02 + g1^13*t^5.15 + 2*g1^18*t^5.29 + g1^23*t^5.42 + g1^28*t^5.56 + t^5.73/g1^10 + t^6. + g1^5*t^6.14 + 3*g1^10*t^6.27 + 2*g1^15*t^6.41 + g1^20*t^6.54 + (2*t^6.71)/g1^18 - t^6.85/g1^13 + (2*t^6.98)/g1^8 + (3*t^7.12)/g1^3 + 6*g1^2*t^7.25 + 4*g1^7*t^7.39 + 6*g1^12*t^7.53 + 4*g1^17*t^7.66 + 4*g1^22*t^7.8 + 2*g1^27*t^7.93 + (2*t^7.97)/g1^16 + 2*g1^32*t^8.07 + g1^37*t^8.2 + (2*t^8.24)/g1^6 + g1^42*t^8.34 + 3*g1^4*t^8.51 + 2*g1^9*t^8.64 + 3*g1^14*t^8.78 + 3*g1^19*t^8.92 + (3*t^8.95)/g1^24 - t^4.12/(g1^3*y) - t^5.37/(g1*y) - (g1^4*t^5.51)/y - (2*t^6.36)/(g1^9*y) - (g1*t^6.63)/y - (g1^6*t^6.76)/y - (g1^11*t^6.9)/y - (2*t^7.61)/(g1^7*y) - t^7.75/(g1^2*y) - (g1^8*t^8.02)/y - (g1^13*t^8.15)/y + (g1^23*t^8.42)/y - (3*t^8.59)/(g1^15*y) + (2*t^8.73)/(g1^10*y) - 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^6.36*y)/g1^9 - g1*t^6.63*y - g1^6*t^6.76*y - g1^11*t^6.9*y - (2*t^7.61*y)/g1^7 - (t^7.75*y)/g1^2 - g1^8*t^8.02*y - g1^13*t^8.15*y + g1^23*t^8.42*y - (3*t^8.59*y)/g1^15 + (2*t^8.73*y)/g1^10 - (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 |
|---|---|---|---|---|---|---|---|---|
| 45228 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_1M_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 | |
| 45107 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_1q_2^2$ + $ \phi_1^2X_1$ | 1.75 | 1.8333 | 0.9545 | [X:[1.3333], M:[0.8889, 1.1111], q:[0.4444, 0.5556], qb:[], phi:[0.3333]] | t^2.67 + t^3. + 2*t^3.33 + t^3.67 + 3*t^4. + t^4.67 + t^5. + 2*t^5.33 + 2*t^6. - t^4./y - t^5.33/y - t^5.67/y - t^6./y - t^4.*y - t^5.33*y - t^5.67*y - t^6.*y | detail | {a: 7/4, c: 11/6, X1: 4/3, M1: 8/9, M2: 10/9, q1: 4/9, q2: 5/9, phi1: 1/3} |
| 45238 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_2M_3$ | 1.8133 | 1.9411 | 0.9342 | [X:[], M:[0.8329, 1.1671, 0.8329], q:[0.4164, 0.4575], qb:[], phi:[0.3753]] | 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^4.13/y - t^5.38/y - t^5.5/y - t^4.13*y - t^5.38*y - t^5.5*y | detail | |
| 45161 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ M_3\phi_1^2q_2$ | 1.8161 | 1.9456 | 0.9335 | [X:[], M:[0.8369, 1.1631, 0.7908], q:[0.4184, 0.4645], qb:[], phi:[0.3723]] | 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^4.12/y - t^5.37/y - t^5.51/y - t^4.12*y - t^5.37*y - t^5.51*y | detail | |
| 45187 | $M_1\phi_1^2q_1$ + $ 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]] | 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^4.08/y - t^5.36/y - t^5.56/y - t^4.08*y - t^5.36*y - t^5.56*y | detail | |
| 45256 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ + $ q_1q_2^3$ | 1.7876 | 1.8963 | 0.9427 | [X:[], M:[0.8696, 1.1304], q:[0.4348, 0.5217], qb:[], phi:[0.3478]] | t^2.09 + t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.65 + t^3.91 + 2*t^4.17 + 2*t^4.7 + 2*t^4.96 + 3*t^5.22 + 2*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: 21750/12167, c: 46145/24334, M1: 20/23, M2: 26/23, q1: 10/23, q2: 12/23, phi1: 8/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 44963 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ | 1.8123 | 1.9359 | 0.9361 | [X:[], M:[0.7935, 1.0238], q:[0.4881, 0.4344], qb:[], phi:[0.3592]] | t^2.16 + t^2.38 + t^2.61 + t^2.77 + t^3.07 + t^3.46 + t^3.84 + 2*t^4.31 + t^4.54 + 3*t^4.76 + 2*t^4.92 + t^4.99 + t^5.08 + t^5.15 + t^5.21 + t^5.23 + t^5.37 + t^5.45 + t^5.53 + t^5.61 + t^5.68 + t^5.84 - t^4.08/y - t^5.38/y - t^5.54/y - t^4.08*y - t^5.38*y - t^5.54*y | detail |