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 |
|---|---|---|---|---|---|---|---|---|---|
| 681 | 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_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ | 0.6782 | 0.8333 | 0.8139 | [X:[], M:[1.0, 1.1204, 0.9582, 0.8796, 0.7592], q:[0.7801, 0.4189], qb:[0.5811, 0.4607], phi:[0.4398]] | [X:[], M:[[0], [4], [-18], [-4], [-8]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_3M_5$, $ M_4^2$, $ M_1M_5$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_1M_4$, $ M_1\phi_1^2$, $ M_3^2$, $ M_1M_3$, $ M_5q_1q_2$ | . | -2 | t^2.28 + 2*t^2.64 + t^2.87 + t^3. + t^3.6 + t^3.83 + t^3.96 + 2*t^4.08 + t^4.32 + t^4.44 + t^4.56 + t^4.81 + 2*t^4.92 + t^5.15 + 4*t^5.28 + t^5.51 + t^5.64 + t^5.75 + t^5.87 - 2*t^6. + t^6.11 - t^6.13 + 2*t^6.24 + 3*t^6.47 - t^6.49 + 3*t^6.6 + t^6.71 + 3*t^6.72 + 2*t^6.83 + 2*t^6.96 + 3*t^7.08 + 2*t^7.19 - t^7.32 + 2*t^7.43 + 4*t^7.56 + t^7.67 + 2*t^7.79 - t^7.81 + 7*t^7.92 + t^8.03 + t^8.04 + 3*t^8.15 + t^8.17 - t^8.28 + 2*t^8.39 + t^8.51 + t^8.53 + t^8.62 - 4*t^8.64 + 3*t^8.75 - 3*t^8.76 + 2*t^8.87 + 2*t^8.89 + t^8.99 - t^4.32/y - t^6.6/y - t^6.96/y - t^7.19/y + t^7.44/y + t^7.68/y + (2*t^7.92)/y + t^8.04/y + t^8.15/y + (2*t^8.28)/y + (2*t^8.51)/y + (2*t^8.64)/y + t^8.87/y - t^4.32*y - t^6.6*y - t^6.96*y - t^7.19*y + t^7.44*y + t^7.68*y + 2*t^7.92*y + t^8.04*y + t^8.15*y + 2*t^8.28*y + 2*t^8.51*y + 2*t^8.64*y + t^8.87*y | t^2.28/g1^8 + (2*t^2.64)/g1^4 + t^2.87/g1^18 + t^3. + t^3.6/g1^10 + t^3.83/g1^24 + t^3.96/g1^6 + 2*g1^12*t^4.08 + t^4.32/g1^2 + g1^16*t^4.44 + t^4.56/g1^16 + g1^20*t^4.81 + (2*t^4.92)/g1^12 + t^5.15/g1^26 + (4*t^5.28)/g1^8 + t^5.51/g1^22 + t^5.64/g1^4 + t^5.75/g1^36 + t^5.87/g1^18 - 2*t^6. + t^6.11/g1^32 - g1^18*t^6.13 + (2*t^6.24)/g1^14 + (3*t^6.47)/g1^28 - g1^22*t^6.49 + (3*t^6.6)/g1^10 + t^6.71/g1^42 + 3*g1^8*t^6.72 + (2*t^6.83)/g1^24 + (2*t^6.96)/g1^6 + 3*g1^12*t^7.08 + (2*t^7.19)/g1^20 - t^7.32/g1^2 + (2*t^7.43)/g1^34 + (4*t^7.56)/g1^16 + t^7.67/g1^48 + (2*t^7.79)/g1^30 - g1^20*t^7.81 + (7*t^7.92)/g1^12 + t^8.03/g1^44 + g1^6*t^8.04 + (3*t^8.15)/g1^26 + g1^24*t^8.17 - t^8.28/g1^8 + (2*t^8.39)/g1^40 + t^8.51/g1^22 + g1^28*t^8.53 + t^8.62/g1^54 - (4*t^8.64)/g1^4 + (3*t^8.75)/g1^36 - 3*g1^14*t^8.76 + (2*t^8.87)/g1^18 + 2*g1^32*t^8.89 + t^8.99/g1^50 - t^4.32/(g1^2*y) - t^6.6/(g1^10*y) - t^6.96/(g1^6*y) - t^7.19/(g1^20*y) + (g1^16*t^7.44)/y + (g1^2*t^7.68)/y + (2*t^7.92)/(g1^12*y) + (g1^6*t^8.04)/y + t^8.15/(g1^26*y) + (2*t^8.28)/(g1^8*y) + (2*t^8.51)/(g1^22*y) + (2*t^8.64)/(g1^4*y) + t^8.87/(g1^18*y) - (t^4.32*y)/g1^2 - (t^6.6*y)/g1^10 - (t^6.96*y)/g1^6 - (t^7.19*y)/g1^20 + g1^16*t^7.44*y + g1^2*t^7.68*y + (2*t^7.92*y)/g1^12 + g1^6*t^8.04*y + (t^8.15*y)/g1^26 + (2*t^8.28*y)/g1^8 + (2*t^8.51*y)/g1^22 + (2*t^8.64*y)/g1^4 + (t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 1094 | $\phi_1q_1^2$ + $ 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_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_3M_5$ | 0.6472 | 0.7915 | 0.8178 | [X:[], M:[1.0, 1.0769, 1.1538, 0.9231, 0.8462], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | t^2.54 + 2*t^2.77 + t^3. + t^3.46 + 2*t^3.69 + 2*t^3.92 + 2*t^4.15 + t^4.38 + t^4.62 + t^5.08 + 2*t^5.31 + 3*t^5.54 - t^6. - t^4.38/y - t^4.38*y | detail | {a: 1422/2197, c: 13911/17576, M1: 1, M2: 14/13, M3: 15/13, M4: 12/13, M5: 11/13, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, phi1: 6/13} |
| 1091 | $\phi_1q_1^2$ + $ 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_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_3\phi_1^2$ | 0.6636 | 0.8114 | 0.8179 | [X:[], M:[1.0, 1.0909, 1.0909, 0.9091, 0.8182], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | t^2.45 + 2*t^2.73 + t^3. + t^3.27 + 3*t^3.82 + 2*t^4.09 + 3*t^4.36 + t^4.91 + 2*t^5.18 + 4*t^5.45 + t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 14133/21296, c: 17279/21296, M1: 1, M2: 12/11, M3: 12/11, M4: 10/11, M5: 9/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11} |
| 1092 | $\phi_1q_1^2$ + $ 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_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_5q_1q_2$ | 0.6767 | 0.8295 | 0.8158 | [X:[], M:[1.0, 1.1111, 1.0, 0.8889, 0.7778], q:[0.7778, 0.4444], qb:[0.5556, 0.4444], phi:[0.4444]] | t^2.33 + 2*t^2.67 + 2*t^3. + t^3.67 + 4*t^4. + 2*t^4.33 + 2*t^4.67 + 2*t^5. + 5*t^5.33 + 2*t^5.67 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 877/1296, c: 1075/1296, M1: 1, M2: 10/9, M3: 1, M4: 8/9, M5: 7/9, q1: 7/9, q2: 4/9, qb1: 5/9, qb2: 4/9, phi1: 4/9} |
| 1095 | $\phi_1q_1^2$ + $ 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_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.6985 | 0.8713 | 0.8016 | [X:[], M:[1.0, 1.1171, 0.9731, 0.8829, 0.7658, 0.7026], q:[0.7793, 0.428], qb:[0.572, 0.4549], phi:[0.4415]] | t^2.11 + t^2.3 + 2*t^2.65 + t^2.92 + t^3. + t^3.62 + t^3.97 + 2*t^4.05 + t^4.22 + t^4.32 + 2*t^4.41 + t^4.59 + 3*t^4.76 + 2*t^4.95 + t^5.03 + t^5.11 + t^5.22 + 4*t^5.3 + t^5.57 + t^5.65 + t^5.73 + t^5.84 + t^5.92 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 1093 | $\phi_1q_1^2$ + $ 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_1^2$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.6949 | 0.8621 | 0.8061 | [X:[], M:[1.0, 1.1163, 0.9767, 0.8837, 0.7674, 0.7907], q:[0.7791, 0.4302], qb:[0.5698, 0.4535], phi:[0.4419]] | t^2.3 + t^2.37 + 2*t^2.65 + t^2.93 + t^3. + t^3.91 + t^3.98 + 2*t^4.05 + t^4.33 + t^4.4 + t^4.6 + t^4.67 + 2*t^4.74 + 2*t^4.95 + 2*t^5.02 + t^5.23 + 5*t^5.3 + t^5.37 + t^5.58 + t^5.65 + t^5.86 - 2*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 416 | 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_1^2$ + $ M_2M_4$ | 0.6597 | 0.7994 | 0.8252 | [X:[], M:[1.0, 1.1177, 0.9704, 0.8823], q:[0.7794, 0.4264], qb:[0.5736, 0.456], phi:[0.4412]] | 2*t^2.65 + t^2.91 + t^3. + t^3.62 + t^3.71 + t^3.88 + t^3.97 + 2*t^4.06 + t^4.32 + t^4.41 + t^4.77 + 3*t^5.29 + t^5.56 + t^5.65 + t^5.82 - 2*t^6. - t^4.32/y - t^4.32*y | detail |