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 |
|---|---|---|---|---|---|---|---|---|---|
| 1596 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ | 0.6555 | 0.806 | 0.8132 | [X:[1.3577], M:[1.0217, 1.0949, 1.168, 0.9783, 0.6423, 0.832, 0.7588], q:[0.7737, 0.3943], qb:[0.584, 0.4377], phi:[0.4526]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [-32]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_4$, $ M_1$, $ M_2$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ X_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ M_6M_7$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_4M_7$, $ M_1M_7$, $ M_1M_6$, $ M_2M_7$, $ M_2M_6$, $ M_3M_7$, $ M_7q_1\tilde{q}_2$ | . | -1 | t^2.28 + t^2.5 + t^2.93 + t^3.07 + t^3.28 + t^3.5 + t^3.63 + t^3.85 + t^3.98 + t^4.07 + t^4.29 + t^4.42 + t^4.55 + t^4.77 + t^4.86 + t^4.99 + t^5.21 + t^5.34 + t^5.56 + 2*t^5.78 + t^5.91 - t^6. + 2*t^6.13 + t^6.26 + 2*t^6.35 + t^6.48 + 2*t^6.57 + 2*t^6.7 + t^6.83 + 2*t^6.92 + 2*t^7.05 + 2*t^7.14 + 2*t^7.27 + t^7.36 + 3*t^7.49 + t^7.58 + 2*t^7.62 + t^7.71 + 2*t^7.84 + t^7.93 + t^7.97 + 3*t^8.06 + t^8.19 + 3*t^8.41 - t^8.5 + t^8.54 + 2*t^8.63 - t^8.72 + t^8.76 + 3*t^8.85 - 2*t^8.93 + 3*t^8.98 - t^4.36/y - t^6.63/y + t^7.77/y + t^8.08/y + t^8.21/y + t^8.34/y + t^8.43/y + (2*t^8.56)/y + (2*t^8.78)/y - t^4.36*y - t^6.63*y + t^7.77*y + t^8.08*y + t^8.21*y + t^8.34*y + t^8.43*y + 2*t^8.56*y + 2*t^8.78*y | t^2.28/g1^32 + t^2.5/g1^14 + g1^22*t^2.93 + t^3.07/g1^22 + t^3.28/g1^4 + g1^14*t^3.5 + t^3.63/g1^30 + t^3.85/g1^12 + t^3.98/g1^56 + g1^6*t^4.07 + g1^24*t^4.29 + t^4.42/g1^20 + t^4.55/g1^64 + t^4.77/g1^46 + g1^16*t^4.86 + t^4.99/g1^28 + t^5.21/g1^10 + t^5.34/g1^54 + t^5.56/g1^36 + (2*t^5.78)/g1^18 + t^5.91/g1^62 - t^6. + (2*t^6.13)/g1^44 + t^6.26/g1^88 + (2*t^6.35)/g1^26 + t^6.48/g1^70 + (2*t^6.57)/g1^8 + (2*t^6.7)/g1^52 + t^6.83/g1^96 + (2*t^6.92)/g1^34 + (2*t^7.05)/g1^78 + (2*t^7.14)/g1^16 + (2*t^7.27)/g1^60 + g1^2*t^7.36 + (3*t^7.49)/g1^42 + g1^20*t^7.58 + (2*t^7.62)/g1^86 + t^7.71/g1^24 + (2*t^7.84)/g1^68 + t^7.93/g1^6 + t^7.97/g1^112 + (3*t^8.06)/g1^50 + t^8.19/g1^94 + (3*t^8.41)/g1^76 - t^8.5/g1^14 + t^8.54/g1^120 + (2*t^8.63)/g1^58 - g1^4*t^8.72 + t^8.76/g1^102 + (3*t^8.85)/g1^40 - 2*g1^22*t^8.93 + (3*t^8.98)/g1^84 - (g1^2*t^4.36)/y - t^6.63/(g1^30*y) + t^7.77/(g1^46*y) + (g1^34*t^8.08)/y + t^8.21/(g1^10*y) + t^8.34/(g1^54*y) + (g1^8*t^8.43)/y + (2*t^8.56)/(g1^36*y) + (2*t^8.78)/(g1^18*y) - g1^2*t^4.36*y - (t^6.63*y)/g1^30 + (t^7.77*y)/g1^46 + g1^34*t^8.08*y + (t^8.21*y)/g1^10 + (t^8.34*y)/g1^54 + g1^8*t^8.43*y + (2*t^8.56*y)/g1^36 + (2*t^8.78*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3983 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_1M_8$ | 0.6583 | 0.809 | 0.8137 | [X:[1.3528], M:[1.0396, 1.0981, 1.1566, 0.9604, 0.6472, 0.8434, 0.7849, 0.9604], q:[0.7745, 0.3821], qb:[0.5783, 0.4613], phi:[0.4509]] | t^2.35 + t^2.53 + 2*t^2.88 + t^3.29 + t^3.47 + t^3.71 + t^3.88 + t^4.06 + t^4.12 + t^4.23 + t^4.47 + t^4.71 + t^4.82 + t^4.88 + t^5.06 + 2*t^5.24 + t^5.41 + 2*t^5.76 + 2*t^5.82 - 2*t^6. - t^4.35/y - t^4.35*y | detail | |
| 3979 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_6M_7$ | 0.5692 | 0.6942 | 0.8199 | [X:[1.3043], M:[1.2174, 1.1304, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | t^2.35 + t^2.87 + 2*t^3.13 + t^3.39 + 2*t^3.65 + t^3.91 + t^4.17 + 2*t^4.43 + t^4.96 + 2*t^5.48 + t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 2409/4232, c: 1469/2116, X1: 30/23, M1: 28/23, M2: 26/23, M3: 24/23, M4: 18/23, M5: 16/23, M6: 22/23, M7: 24/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
| 3981 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_7q_1\tilde{q}_2$ | 0.6552 | 0.8044 | 0.8145 | [X:[1.3548], M:[1.0323, 1.0968, 1.1613, 0.9677, 0.6452, 0.8387, 0.7742], q:[0.7742, 0.3871], qb:[0.5806, 0.4516], phi:[0.4516]] | t^2.32 + t^2.52 + t^2.9 + t^3.1 + t^3.29 + t^3.48 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 2*t^4.84 + t^5.03 + t^5.23 + t^5.42 + t^5.61 + 2*t^5.81 - t^4.35/y - t^4.35*y | detail | {a: 5037/7688, c: 773/961, X1: 42/31, M1: 32/31, M2: 34/31, M3: 36/31, M4: 30/31, M5: 20/31, M6: 26/31, M7: 24/31, q1: 24/31, q2: 12/31, qb1: 18/31, qb2: 14/31, phi1: 14/31} |
| 3976 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_7^2$ | 0.592 | 0.7209 | 0.8212 | [X:[1.3125], M:[1.1875, 1.125, 1.0625, 0.8125, 0.6875, 0.9375, 1.0], q:[0.7812, 0.2812], qb:[0.5312, 0.6562], phi:[0.4375]] | t^2.44 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.25 + t^5.44 + t^5.62 + t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 77589/131072, c: 94485/131072, X1: 21/16, M1: 19/16, M2: 9/8, M3: 17/16, M4: 13/16, M5: 11/16, M6: 15/16, M7: 1, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| 3982 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1q_2\tilde{q}_2$ | 0.6757 | 0.8438 | 0.8008 | [X:[1.357], M:[1.0243, 1.0953, 1.1664, 0.9757, 0.643, 0.8336, 0.7626, 0.714], q:[0.7738, 0.3925], qb:[0.5832, 0.4411], phi:[0.4523]] | t^2.14 + t^2.29 + t^2.5 + t^2.93 + t^3.07 + t^3.29 + t^3.5 + t^3.64 + t^4. + t^4.07 + 2*t^4.28 + 2*t^4.43 + t^4.58 + t^4.64 + t^4.79 + t^4.86 + t^5. + t^5.07 + 2*t^5.21 + t^5.36 + t^5.43 + t^5.57 + t^5.64 + 3*t^5.79 + t^5.93 - t^6. - t^4.36/y - t^4.36*y | detail | |
| 3984 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.6763 | 0.8474 | 0.7981 | [X:[1.3575], M:[1.0226, 1.095, 1.1675, 0.9774, 0.6425, 0.8325, 0.7601, 0.6698], q:[0.7738, 0.3937], qb:[0.5837, 0.4388], phi:[0.4525]] | t^2.01 + t^2.28 + t^2.5 + t^2.93 + t^3.07 + t^3.29 + t^3.5 + t^3.64 + t^3.86 + t^4.02 + t^4.07 + 2*t^4.29 + t^4.43 + t^4.51 + t^4.56 + t^4.78 + t^4.86 + t^4.94 + t^5. + t^5.08 + t^5.21 + t^5.29 + t^5.35 + t^5.51 + t^5.57 + t^5.65 + 2*t^5.78 + t^5.86 + t^5.92 - t^6. - t^4.36/y - t^4.36*y | detail | |
| 3980 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_8q_1\tilde{q}_2$ | 0.6731 | 0.8363 | 0.8049 | [X:[1.3542], M:[1.0347, 1.0972, 1.1597, 0.9653, 0.6458, 0.8403, 0.7777, 0.7709], q:[0.7743, 0.3854], qb:[0.5799, 0.4548], phi:[0.4514]] | t^2.31 + t^2.33 + t^2.52 + t^2.9 + t^3.1 + t^3.29 + t^3.48 + t^3.87 + t^4.06 + t^4.08 + t^4.25 + t^4.46 + t^4.63 + t^4.65 + t^4.67 + 2*t^4.83 + t^4.85 + t^5.04 + t^5.21 + t^5.23 + t^5.42 + t^5.44 + t^5.6 + t^5.62 + t^5.79 + 2*t^5.81 - t^6. - t^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1025 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ | 0.6373 | 0.7722 | 0.8253 | [X:[1.3537], M:[1.0366, 1.0976, 1.1585, 0.9634, 0.6463, 0.8415], q:[0.7744, 0.3841], qb:[0.5793, 0.4573], phi:[0.4512]] | t^2.52 + t^2.89 + t^3.11 + t^3.29 + t^3.48 + t^3.66 + t^3.7 + t^3.88 + t^4.06 + t^4.1 + t^4.24 + t^4.46 + t^4.83 + t^5.05 + t^5.82 - t^6. - t^4.35/y - t^4.35*y | detail |