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 |
|---|---|---|---|---|---|---|---|---|---|
| 4036 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1q_2$ + $ M_8\phi_1q_2^2$ + $ M_7M_8$ + $ M_6X_1$ | 0.6227 | 0.7834 | 0.7948 | [X:[1.3793], M:[1.0898, 1.1448, 0.7587, 0.7172, 0.8552, 0.6207, 0.9517, 1.0483], q:[0.7862, 0.2621], qb:[0.6482, 0.5931], phi:[0.4276]] | [X:[[10]], M:[[34], [-12], [20], [-18], [12], [-10], [4], [-4]], q:[[-3], [-1]], qb:[[-33], [13]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_7$, $ M_8$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_3M_4$, $ M_3^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_3M_5$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_3M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ M_4M_8$, $ M_1M_4$, $ M_5M_7$, $ M_3M_8$, $ M_7\phi_1^2$, $ M_1M_3$, $ M_7^2$, $ M_5M_8$, $ M_8\phi_1^2$, $ M_1M_5$, $ M_1\phi_1^2$ | . | -2 | t^2.15 + t^2.28 + 2*t^2.57 + t^2.86 + t^3.14 + t^3.27 + t^4.01 + t^4.14 + 2*t^4.3 + t^4.43 + t^4.55 + 2*t^4.72 + 2*t^4.84 + t^5.01 + 4*t^5.13 + t^5.17 + t^5.3 + 4*t^5.42 + t^5.55 + 2*t^5.71 + t^5.83 - 2*t^6. + t^6.29 + t^6.41 + 2*t^6.45 + t^6.54 + 2*t^6.58 + 2*t^6.7 + t^6.83 + 3*t^6.87 + t^6.99 + t^7.12 + t^7.16 + 3*t^7.28 + t^7.32 + 5*t^7.41 + t^7.45 + 3*t^7.57 + 7*t^7.7 + t^7.74 + t^7.82 + 5*t^7.99 + t^8.03 + 2*t^8.11 - 3*t^8.15 + t^8.28 + t^8.32 + t^8.4 + t^8.44 - 3*t^8.57 + 2*t^8.61 + 2*t^8.69 + t^8.81 - 2*t^8.86 + 2*t^8.98 - t^4.28/y - t^6.43/y - t^6.56/y - t^6.85/y + t^7.01/y + t^7.43/y - t^7.55/y + (3*t^7.72)/y + (2*t^7.84)/y + (2*t^8.01)/y + (3*t^8.13)/y + t^8.3/y + (4*t^8.42)/y + t^8.55/y - t^8.59/y + t^8.71/y + t^8.83/y - t^4.28*y - t^6.43*y - t^6.56*y - t^6.85*y + t^7.01*y + t^7.43*y - t^7.55*y + 3*t^7.72*y + 2*t^7.84*y + 2*t^8.01*y + 3*t^8.13*y + t^8.3*y + 4*t^8.42*y + t^8.55*y - t^8.59*y + t^8.71*y + t^8.83*y | t^2.15/g1^18 + g1^20*t^2.28 + 2*g1^12*t^2.57 + g1^4*t^2.86 + t^3.14/g1^4 + g1^34*t^3.27 + t^4.01/g1^28 + g1^10*t^4.14 + (2*t^4.3)/g1^36 + g1^2*t^4.43 + g1^40*t^4.55 + (2*t^4.72)/g1^6 + 2*g1^32*t^4.84 + t^5.01/g1^14 + 4*g1^24*t^5.13 + t^5.17/g1^60 + t^5.3/g1^22 + 4*g1^16*t^5.42 + g1^54*t^5.55 + 2*g1^8*t^5.71 + g1^46*t^5.83 - 2*t^6. + t^6.29/g1^8 + g1^30*t^6.41 + (2*t^6.45)/g1^54 + g1^68*t^6.54 + (2*t^6.58)/g1^16 + 2*g1^22*t^6.7 + g1^60*t^6.83 + (3*t^6.87)/g1^24 + g1^14*t^6.99 + g1^52*t^7.12 + t^7.16/g1^32 + 3*g1^6*t^7.28 + t^7.32/g1^78 + 5*g1^44*t^7.41 + t^7.45/g1^40 + (3*t^7.57)/g1^2 + 7*g1^36*t^7.7 + t^7.74/g1^48 + g1^74*t^7.82 + 5*g1^28*t^7.99 + t^8.03/g1^56 + 2*g1^66*t^8.11 - (3*t^8.15)/g1^18 + g1^20*t^8.28 + t^8.32/g1^64 + g1^58*t^8.4 + t^8.44/g1^26 - 3*g1^12*t^8.57 + (2*t^8.61)/g1^72 + 2*g1^50*t^8.69 + g1^88*t^8.81 - 2*g1^4*t^8.86 + 2*g1^42*t^8.98 - (g1^6*t^4.28)/y - t^6.43/(g1^12*y) - (g1^26*t^6.56)/y - (g1^18*t^6.85)/y + t^7.01/(g1^28*y) + (g1^2*t^7.43)/y - (g1^40*t^7.55)/y + (3*t^7.72)/(g1^6*y) + (2*g1^32*t^7.84)/y + (2*t^8.01)/(g1^14*y) + (3*g1^24*t^8.13)/y + t^8.3/(g1^22*y) + (4*g1^16*t^8.42)/y + (g1^54*t^8.55)/y - t^8.59/(g1^30*y) + (g1^8*t^8.71)/y + (g1^46*t^8.83)/y - g1^6*t^4.28*y - (t^6.43*y)/g1^12 - g1^26*t^6.56*y - g1^18*t^6.85*y + (t^7.01*y)/g1^28 + g1^2*t^7.43*y - g1^40*t^7.55*y + (3*t^7.72*y)/g1^6 + 2*g1^32*t^7.84*y + (2*t^8.01*y)/g1^14 + 3*g1^24*t^8.13*y + (t^8.3*y)/g1^22 + 4*g1^16*t^8.42*y + g1^54*t^8.55*y - (t^8.59*y)/g1^30 + g1^8*t^8.71*y + g1^46*t^8.83*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5592 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1q_2$ + $ M_8\phi_1q_2^2$ + $ M_7M_8$ + $ M_6X_1$ + $ M_1M_3$ + $ M_4X_2$ | 0.5947 | 0.7335 | 0.8107 | [X:[1.4074, 1.3333], M:[1.1852, 1.1111, 0.8148, 0.6667, 0.8889, 0.5926, 0.963, 1.037], q:[0.7778, 0.2593], qb:[0.5556, 0.6296], phi:[0.4444]] | t^2.44 + 2*t^2.67 + t^2.89 + t^3.11 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.67 + t^4.89 + 2*t^5.11 + 4*t^5.33 + 3*t^5.56 + t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 289/486, c: 713/972, X1: 38/27, X2: 4/3, M1: 32/27, M2: 10/9, M3: 22/27, M4: 2/3, M5: 8/9, M6: 16/27, M7: 26/27, M8: 28/27, q1: 7/9, q2: 7/27, qb1: 5/9, qb2: 17/27, phi1: 4/9} |
| 5593 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1q_2$ + $ M_8\phi_1q_2^2$ + $ M_7M_8$ + $ M_6X_1$ + $ M_7M_9$ | 0.6182 | 0.7759 | 0.7967 | [X:[1.3814], M:[1.0968, 1.1423, 0.7628, 0.7135, 0.8577, 0.6186, 0.9526, 1.0474, 1.0474], q:[0.7856, 0.2619], qb:[0.6414, 0.5958], phi:[0.4288]] | t^2.14 + t^2.29 + 2*t^2.57 + 2*t^3.14 + t^3.29 + t^4. + t^4.14 + 2*t^4.28 + t^4.43 + t^4.58 + 2*t^4.71 + 2*t^4.86 + t^5.13 + 3*t^5.15 + 2*t^5.28 + 3*t^5.43 + t^5.58 + 3*t^5.72 + t^5.86 - 3*t^6. - t^4.29/y - t^4.29*y | detail | |
| 5594 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1q_2$ + $ M_8\phi_1q_2^2$ + $ M_7M_8$ + $ M_6X_1$ + $ M_8M_9$ | 0.6272 | 0.7911 | 0.7928 | [X:[1.3773], M:[1.0827, 1.1473, 0.7546, 0.7209, 0.8527, 0.6227, 0.9509, 1.0491, 0.9509], q:[0.7868, 0.2623], qb:[0.655, 0.5905], phi:[0.4264]] | t^2.16 + t^2.26 + 2*t^2.56 + 2*t^2.85 + t^3.25 + t^4.03 + t^4.13 + 2*t^4.33 + t^4.43 + t^4.53 + 2*t^4.72 + 2*t^4.82 + 2*t^5.02 + 5*t^5.12 + t^5.21 + 5*t^5.41 + t^5.51 + 2*t^5.71 + t^5.81 - 3*t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1645 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1q_2$ + $ M_8\phi_1q_2^2$ | 0.7373 | 0.9448 | 0.7803 | [X:[], M:[0.9688, 1.1236, 0.9748, 0.6855, 0.8764, 0.7839, 0.7779, 0.6794], q:[0.7809, 0.4412], qb:[0.59, 0.4351], phi:[0.4382]] | t^2.04 + t^2.06 + t^2.33 + t^2.35 + 2*t^2.63 + t^2.91 + t^2.92 + t^3.93 + t^4.08 + t^4.09 + 2*t^4.11 + t^4.37 + 3*t^4.39 + 2*t^4.41 + 3*t^4.67 + 3*t^4.69 + t^4.7 + t^4.85 + t^4.94 + 4*t^4.96 + 3*t^4.98 + t^5.24 + 5*t^5.26 + t^5.28 + t^5.54 + t^5.55 + t^5.81 + t^5.83 + t^5.85 + t^5.96 - 3*t^6. - t^4.31/y - t^4.31*y | detail |