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 |
|---|---|---|---|---|---|---|---|---|---|
| 3977 | 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_3M_7$ + $ M_8\phi_1q_2^2$ | 0.6701 | 0.8325 | 0.8049 | [X:[1.36], M:[1.0135, 1.0934, 1.1732, 0.9865, 0.64, 0.8268, 0.8268, 0.7469], q:[0.7733, 0.3999], qb:[0.5866, 0.4269], phi:[0.4533]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [-14], [-32]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_6$, $ M_7$, $ M_4$, $ M_1$, $ M_2$, $ 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_8^2$, $ M_6M_8$, $ M_7M_8$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_4M_8$, $ M_1M_8$, $ M_4M_6$, $ M_4M_7$, $ M_1M_6$, $ M_1M_7$, $ M_2M_8$, $ M_2M_6$, $ M_2M_7$, $ M_8q_1\tilde{q}_2$ | . | -2 | t^2.24 + 2*t^2.48 + t^2.96 + t^3.04 + t^3.28 + t^3.6 + t^3.84 + t^3.92 + t^4.08 + t^4.32 + t^4.4 + t^4.48 + 2*t^4.72 + t^4.88 + 3*t^4.96 + t^5.2 + t^5.28 + t^5.44 + 2*t^5.52 + 2*t^5.76 + t^5.84 - 2*t^6. + 3*t^6.08 + t^6.16 + 3*t^6.32 + 2*t^6.4 - t^6.48 + 2*t^6.56 + 2*t^6.64 + t^6.72 + 3*t^6.88 + 3*t^6.96 - t^7.04 + t^7.12 + 4*t^7.2 + t^7.36 + 5*t^7.44 + 2*t^7.52 + 2*t^7.68 + 3*t^7.76 + t^7.92 + 4*t^8. + t^8.08 + t^8.24 + 4*t^8.32 - 4*t^8.48 + 5*t^8.56 + 2*t^8.64 - 2*t^8.72 + 5*t^8.8 + 5*t^8.88 - 2*t^8.96 - t^4.36/y - t^6.6/y - t^6.84/y + (2*t^7.72)/y + t^7.88/y + t^7.96/y + t^8.12/y + t^8.2/y + t^8.28/y + (2*t^8.44)/y + (3*t^8.52)/y + (2*t^8.76)/y - t^4.36*y - t^6.6*y - t^6.84*y + 2*t^7.72*y + t^7.88*y + t^7.96*y + t^8.12*y + t^8.2*y + t^8.28*y + 2*t^8.44*y + 3*t^8.52*y + 2*t^8.76*y | t^2.24/g1^32 + (2*t^2.48)/g1^14 + g1^22*t^2.96 + t^3.04/g1^22 + t^3.28/g1^4 + t^3.6/g1^30 + t^3.84/g1^12 + t^3.92/g1^56 + g1^6*t^4.08 + g1^24*t^4.32 + t^4.4/g1^20 + t^4.48/g1^64 + (2*t^4.72)/g1^46 + g1^16*t^4.88 + (3*t^4.96)/g1^28 + t^5.2/g1^10 + t^5.28/g1^54 + g1^8*t^5.44 + (2*t^5.52)/g1^36 + (2*t^5.76)/g1^18 + t^5.84/g1^62 - 2*t^6. + (3*t^6.08)/g1^44 + t^6.16/g1^88 + (3*t^6.32)/g1^26 + (2*t^6.4)/g1^70 - g1^36*t^6.48 + (2*t^6.56)/g1^8 + (2*t^6.64)/g1^52 + t^6.72/g1^96 + (3*t^6.88)/g1^34 + (3*t^6.96)/g1^78 - g1^28*t^7.04 + t^7.12/g1^16 + (4*t^7.2)/g1^60 + g1^2*t^7.36 + (5*t^7.44)/g1^42 + (2*t^7.52)/g1^86 + (2*t^7.68)/g1^24 + (3*t^7.76)/g1^68 + t^7.84/g1^112 - g1^38*t^7.84 + t^7.92/g1^6 + (4*t^8.)/g1^50 + t^8.08/g1^94 + t^8.24/g1^32 + (4*t^8.32)/g1^76 + t^8.4/g1^120 - g1^30*t^8.4 - (4*t^8.48)/g1^14 + (5*t^8.56)/g1^58 + (2*t^8.64)/g1^102 - 2*g1^4*t^8.72 + (5*t^8.8)/g1^40 + (5*t^8.88)/g1^84 + t^8.96/g1^128 - 3*g1^22*t^8.96 - (g1^2*t^4.36)/y - t^6.6/(g1^30*y) - t^6.84/(g1^12*y) + (2*t^7.72)/(g1^46*y) + (g1^16*t^7.88)/y + t^7.96/(g1^28*y) + (g1^34*t^8.12)/y + t^8.2/(g1^10*y) + t^8.28/(g1^54*y) + (2*g1^8*t^8.44)/y + (3*t^8.52)/(g1^36*y) + (2*t^8.76)/(g1^18*y) - g1^2*t^4.36*y - (t^6.6*y)/g1^30 - (t^6.84*y)/g1^12 + (2*t^7.72*y)/g1^46 + g1^16*t^7.88*y + (t^7.96*y)/g1^28 + g1^34*t^8.12*y + (t^8.2*y)/g1^10 + (t^8.28*y)/g1^54 + 2*g1^8*t^8.44*y + (3*t^8.52*y)/g1^36 + (2*t^8.76*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 |
|---|---|---|---|---|---|---|---|---|
| 5514 | $\phi_1q_1^2$ + $ 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_3M_7$ + $ M_8\phi_1q_2^2$ + $ M_6M_8$ | 0.5733 | 0.701 | 0.8178 | [X:[1.3043], M:[1.2174, 1.1304, 1.0435, 0.7826, 0.6957, 0.9565, 0.9565, 1.0435], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | t^2.35 + 2*t^2.87 + t^3.13 + t^3.39 + 2*t^3.65 + t^3.91 + t^4.17 + 2*t^4.43 + t^4.96 + t^5.22 + t^5.48 + 3*t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 111603/194672, c: 68233/97336, X1: 30/23, M1: 28/23, M2: 26/23, M3: 24/23, M4: 18/23, M5: 16/23, M6: 22/23, M7: 22/23, M8: 24/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
| 5522 | $\phi_1q_1^2$ + $ 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_3M_7$ + $ M_8\phi_1q_2^2$ + $ M_9\phi_1q_2\tilde{q}_2$ | 0.6902 | 0.8698 | 0.7935 | [X:[1.3592], M:[1.0162, 1.0939, 1.1715, 0.9838, 0.6408, 0.8285, 0.8285, 0.7508, 0.7184], q:[0.7735, 0.3981], qb:[0.5858, 0.4304], phi:[0.4531]] | t^2.16 + t^2.25 + 2*t^2.49 + t^2.95 + t^3.05 + t^3.28 + t^3.61 + t^3.94 + t^4.08 + 2*t^4.31 + 2*t^4.41 + t^4.5 + 2*t^4.64 + 2*t^4.74 + t^4.87 + 3*t^4.97 + t^5.11 + 2*t^5.2 + t^5.3 + 2*t^5.44 + 2*t^5.53 + 3*t^5.77 + t^5.86 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
| 5523 | $\phi_1q_1^2$ + $ 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_3M_7$ + $ M_8\phi_1q_2^2$ + $ M_9\phi_1\tilde{q}_2^2$ | 0.6908 | 0.8724 | 0.7918 | [X:[1.3588], M:[1.0176, 1.0941, 1.1706, 0.9824, 0.6412, 0.8294, 0.8294, 0.7528, 0.6825], q:[0.7735, 0.3971], qb:[0.5853, 0.4323], phi:[0.4529]] | t^2.05 + t^2.26 + 2*t^2.49 + t^2.95 + t^3.05 + t^3.28 + t^3.62 + t^3.85 + t^4.08 + t^4.1 + 2*t^4.31 + t^4.41 + t^4.52 + 2*t^4.54 + 2*t^4.75 + t^4.87 + 3*t^4.98 + t^4.99 + t^5.1 + t^5.21 + t^5.31 + t^5.33 + t^5.44 + 2*t^5.54 + t^5.66 + 2*t^5.77 + t^5.88 + t^5.89 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1595 | 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_3M_7$ | 0.6513 | 0.7969 | 0.8172 | [X:[1.3565], M:[1.0262, 1.0957, 1.1651, 0.9738, 0.6435, 0.8349, 0.8349], q:[0.7739, 0.3912], qb:[0.5826, 0.4437], phi:[0.4522]] | 2*t^2.5 + t^2.92 + t^3.08 + t^3.29 + t^3.65 + t^3.7 + t^3.86 + t^4.02 + t^4.07 + t^4.28 + t^4.44 + t^4.85 + 3*t^5.01 + t^5.43 + t^5.58 + 2*t^5.79 - 2*t^6. - t^4.36/y - t^4.36*y | detail |