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 |
|---|---|---|---|---|---|---|---|---|---|
| 2184 | 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_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ | 0.6908 | 0.8766 | 0.788 | [X:[], M:[1.1459, 1.0937, 0.9324, 0.8541, 0.8541, 0.6928, 0.7188], q:[0.7734, 0.3464], qb:[0.5077, 0.5599], phi:[0.4531]] | [X:[], M:[[8], [-4], [10], [-8], [-8], [6], [12]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_7$, $ M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_2$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_5M_6$, $ M_4M_7$, $ M_5M_7$, $ \phi_1\tilde{q}_2^2$, $ M_6\phi_1^2$, $ M_3M_6$, $ M_7\phi_1^2$, $ M_3M_7$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_3M_4$, $ M_3M_5$, $ M_2M_6$, $ M_2M_7$, $ \phi_1^4$, $ M_6q_1q_2$, $ M_3\phi_1^2$, $ M_7q_1q_2$, $ M_3^2$, $ M_2M_4$, $ M_2M_5$, $ M_4q_1q_2$, $ M_5q_1q_2$ | . | -2 | t^2.08 + t^2.16 + 2*t^2.56 + t^2.72 + t^2.8 + t^3.28 + t^3.36 + t^4. + t^4.08 + t^4.16 + t^4.23 + t^4.31 + t^4.41 + t^4.56 + 2*t^4.64 + 3*t^4.72 + t^4.8 + 2*t^4.88 + t^4.95 + 3*t^5.12 + 2*t^5.28 + 2*t^5.36 + 3*t^5.44 + t^5.52 + t^5.59 + t^5.84 + 2*t^5.92 - 2*t^6. + 2*t^6.08 + 2*t^6.16 + 2*t^6.23 + t^6.31 + t^6.39 + t^6.47 + 2*t^6.56 + t^6.64 + 2*t^6.72 + 4*t^6.8 + 4*t^6.88 + 2*t^6.95 + 2*t^6.97 + 2*t^7.03 + t^7.11 + 2*t^7.12 + 2*t^7.2 + 4*t^7.28 + 2*t^7.36 + 5*t^7.44 + 4*t^7.52 + 3*t^7.59 + 2*t^7.67 + 4*t^7.69 + t^7.75 + t^7.84 + t^7.92 + 3*t^8. + 2*t^8.16 + 3*t^8.23 + 3*t^8.31 + 3*t^8.39 + t^8.41 + t^8.47 + 2*t^8.48 + t^8.55 - 5*t^8.56 + t^8.63 + t^8.64 + t^8.72 + t^8.8 + t^8.81 + 3*t^8.88 + 6*t^8.95 + t^8.97 - t^4.36/y - t^6.44/y - t^6.52/y - t^6.92/y - t^7.16/y + t^7.23/y + t^7.56/y + (2*t^7.64)/y + (2*t^7.72)/y + (2*t^7.8)/y + (2*t^7.88)/y + t^7.95/y + t^8.12/y + t^8.2/y + (3*t^8.28)/y + (3*t^8.36)/y + (2*t^8.44)/y + t^8.52/y - t^8.59/y - t^8.67/y + (2*t^8.84)/y + (2*t^8.92)/y - t^4.36*y - t^6.44*y - t^6.52*y - t^6.92*y - t^7.16*y + t^7.23*y + t^7.56*y + 2*t^7.64*y + 2*t^7.72*y + 2*t^7.8*y + 2*t^7.88*y + t^7.95*y + t^8.12*y + t^8.2*y + 3*t^8.28*y + 3*t^8.36*y + 2*t^8.44*y + t^8.52*y - t^8.59*y - t^8.67*y + 2*t^8.84*y + 2*t^8.92*y | g1^6*t^2.08 + g1^12*t^2.16 + (2*t^2.56)/g1^8 + g1^4*t^2.72 + g1^10*t^2.8 + t^3.28/g1^4 + g1^2*t^3.36 + t^4. + g1^6*t^4.08 + g1^12*t^4.16 + g1^18*t^4.23 + g1^24*t^4.31 + t^4.41/g1^20 + t^4.56/g1^8 + (2*t^4.64)/g1^2 + 3*g1^4*t^4.72 + g1^10*t^4.8 + 2*g1^16*t^4.88 + g1^22*t^4.95 + (3*t^5.12)/g1^16 + (2*t^5.28)/g1^4 + 2*g1^2*t^5.36 + 3*g1^8*t^5.44 + g1^14*t^5.52 + g1^20*t^5.59 + t^5.84/g1^12 + (2*t^5.92)/g1^6 - 2*t^6. + 2*g1^6*t^6.08 + 2*g1^12*t^6.16 + 2*g1^18*t^6.23 + g1^24*t^6.31 + g1^30*t^6.39 + g1^36*t^6.47 + (2*t^6.56)/g1^8 + t^6.64/g1^2 + 2*g1^4*t^6.72 + 4*g1^10*t^6.8 + 4*g1^16*t^6.88 + 2*g1^22*t^6.95 + (2*t^6.97)/g1^28 + 2*g1^28*t^7.03 + g1^34*t^7.11 + (2*t^7.12)/g1^16 + (2*t^7.2)/g1^10 + (4*t^7.28)/g1^4 + 2*g1^2*t^7.36 + 5*g1^8*t^7.44 + 4*g1^14*t^7.52 + 3*g1^20*t^7.59 + 2*g1^26*t^7.67 + (4*t^7.69)/g1^24 + g1^32*t^7.75 + t^7.84/g1^12 + t^7.92/g1^6 + 3*t^8. + 2*g1^12*t^8.16 + 3*g1^18*t^8.23 + 3*g1^24*t^8.31 + 3*g1^30*t^8.39 + t^8.41/g1^20 + g1^36*t^8.47 + (2*t^8.48)/g1^14 + g1^42*t^8.55 - (5*t^8.56)/g1^8 + g1^48*t^8.63 + t^8.64/g1^2 + g1^4*t^8.72 + g1^10*t^8.8 + t^8.81/g1^40 + 3*g1^16*t^8.88 + 6*g1^22*t^8.95 + t^8.97/g1^28 - (g1^2*t^4.36)/y - (g1^8*t^6.44)/y - (g1^14*t^6.52)/y - t^6.92/(g1^6*y) - (g1^12*t^7.16)/y + (g1^18*t^7.23)/y + t^7.56/(g1^8*y) + (2*t^7.64)/(g1^2*y) + (2*g1^4*t^7.72)/y + (2*g1^10*t^7.8)/y + (2*g1^16*t^7.88)/y + (g1^22*t^7.95)/y + t^8.12/(g1^16*y) + t^8.2/(g1^10*y) + (3*t^8.28)/(g1^4*y) + (3*g1^2*t^8.36)/y + (2*g1^8*t^8.44)/y + (g1^14*t^8.52)/y - (g1^20*t^8.59)/y - (g1^26*t^8.67)/y + (2*t^8.84)/(g1^12*y) + (2*t^8.92)/(g1^6*y) - g1^2*t^4.36*y - g1^8*t^6.44*y - g1^14*t^6.52*y - (t^6.92*y)/g1^6 - g1^12*t^7.16*y + g1^18*t^7.23*y + (t^7.56*y)/g1^8 + (2*t^7.64*y)/g1^2 + 2*g1^4*t^7.72*y + 2*g1^10*t^7.8*y + 2*g1^16*t^7.88*y + g1^22*t^7.95*y + (t^8.12*y)/g1^16 + (t^8.2*y)/g1^10 + (3*t^8.28*y)/g1^4 + 3*g1^2*t^8.36*y + 2*g1^8*t^8.44*y + g1^14*t^8.52*y - g1^20*t^8.59*y - g1^26*t^8.67*y + (2*t^8.84*y)/g1^12 + (2*t^8.92*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4176 | $\phi_1q_1^2$ + $ 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_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ + $ M_3M_7$ | 0.6471 | 0.827 | 0.7824 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7273, 0.7879, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | 2*t^2.18 + t^2.36 + t^2.73 + t^2.91 + t^3.09 + t^3.27 + 2*t^3.45 + t^4. + t^4.18 + 4*t^4.36 + 2*t^4.55 + t^4.73 + 3*t^4.91 + 3*t^5.09 + 2*t^5.27 + 3*t^5.45 + 6*t^5.64 + 3*t^5.82 - t^6. - t^4.45/y - t^4.45*y | detail | {a: 41339/63888, c: 26417/31944, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 8/11, M6: 26/33, M7: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 4182 | $\phi_1q_1^2$ + $ 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_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ + $ M_3M_8$ | 0.6857 | 0.868 | 0.79 | [X:[], M:[1.1672, 1.0831, 0.959, 0.8328, 0.8328, 0.7087, 0.7508, 1.041], q:[0.7708, 0.3544], qb:[0.4784, 0.5626], phi:[0.4585]] | t^2.13 + t^2.25 + 2*t^2.5 + t^2.75 + t^3.12 + t^3.25 + t^3.38 + t^4. + t^4.13 + 2*t^4.25 + t^4.38 + 2*t^4.5 + 2*t^4.62 + 3*t^4.75 + t^4.88 + 4*t^5. + 3*t^5.25 + t^5.38 + 3*t^5.5 + 2*t^5.62 + t^5.75 + 3*t^5.87 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 4175 | $\phi_1q_1^2$ + $ 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_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ + $ M_3\phi_1^2$ | 0.6677 | 0.8492 | 0.7862 | [X:[], M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619, 0.7619, 0.8571], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | 3*t^2.29 + t^2.57 + t^2.86 + 2*t^3.14 + t^3.43 + t^3.71 + t^4. + 2*t^4.29 + 6*t^4.57 + 4*t^4.86 + 4*t^5.14 + 5*t^5.43 + 6*t^5.71 + t^6. - t^4.43/y - t^4.43*y | detail | {a: 10993/16464, c: 6991/8232, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 16/21, M7: 6/7, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
| 4180 | $\phi_1q_1^2$ + $ 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_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ + $ M_8\phi_1^2$ | 0.6824 | 0.8623 | 0.7914 | [X:[], M:[1.1539, 1.0897, 0.9424, 0.8461, 0.8461, 0.6988, 0.7309, 1.0897], q:[0.7724, 0.3494], qb:[0.4967, 0.5609], phi:[0.4551]] | t^2.1 + t^2.19 + 2*t^2.54 + t^2.83 + 2*t^3.27 + t^3.37 + t^4. + t^4.1 + t^4.19 + t^4.29 + t^4.35 + t^4.39 + t^4.54 + 2*t^4.63 + 3*t^4.73 + t^4.92 + t^5.02 + 3*t^5.08 + 3*t^5.37 + 3*t^5.46 + t^5.65 + 3*t^5.81 + 2*t^5.9 - 3*t^6. - t^4.37/y - t^4.37*y | detail | |
| 4177 | $\phi_1q_1^2$ + $ 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_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ + $ M_8q_1q_2$ | 0.7015 | 0.8948 | 0.784 | [X:[], M:[1.1497, 1.0918, 0.9371, 0.8503, 0.8503, 0.6956, 0.7245, 0.8793], q:[0.773, 0.3478], qb:[0.5026, 0.5604], phi:[0.4541]] | t^2.09 + t^2.17 + 2*t^2.55 + t^2.64 + t^2.72 + t^2.81 + t^3.28 + t^4. + t^4.09 + t^4.17 + t^4.26 + t^4.35 + t^4.38 + t^4.55 + 2*t^4.64 + 4*t^4.72 + 2*t^4.81 + 2*t^4.9 + t^4.98 + 3*t^5.1 + 2*t^5.19 + 3*t^5.28 + 3*t^5.36 + 3*t^5.45 + t^5.62 + t^5.83 + t^5.91 - 2*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1162 | 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_2^2$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6708 | 0.8396 | 0.799 | [X:[], M:[1.1552, 1.0891, 0.944, 0.8448, 0.8448, 0.6997], q:[0.7723, 0.3499], qb:[0.495, 0.5611], phi:[0.4555]] | t^2.1 + 2*t^2.53 + t^2.73 + t^2.83 + t^3.27 + t^3.37 + t^3.8 + t^4. + t^4.1 + t^4.2 + t^4.34 + t^4.53 + 2*t^4.63 + t^4.73 + t^4.83 + t^4.93 + 3*t^5.07 + 2*t^5.27 + 2*t^5.37 + 2*t^5.47 + t^5.66 + t^5.8 + 3*t^5.9 - 2*t^6. - t^4.37/y - t^4.37*y | detail |