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 |
|---|---|---|---|---|---|---|---|---|---|
| 185 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ | 0.5333 | 0.6681 | 0.7983 | [X:[], M:[0.981, 1.019], q:[0.5878, 0.981], qb:[0.4313, 0.2748], phi:[0.4313]] | [X:[], M:[[7], [-7]], q:[[-6], [7]], qb:[[-1], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ M_1$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_2q_1\tilde{q}_2$, $ M_1^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.12 + 2*t^2.59 + t^2.94 + t^3.06 + t^3.41 + t^3.77 + t^3.88 + 2*t^4.24 + 3*t^4.71 + t^5.06 + 3*t^5.18 + 2*t^5.53 + t^5.64 + 2*t^5.89 + t^6.11 + 3*t^6.36 + t^6.71 + 3*t^6.82 + 2*t^7.18 + 3*t^7.29 + t^7.53 + 2*t^7.65 + 3*t^7.76 + 3*t^8. - t^8.12 + t^8.23 + 5*t^8.47 - 3*t^8.59 + t^8.7 + 2*t^8.83 + t^8.94 - t^4.29/y - t^6.88/y + (3*t^7.71)/y + t^8.06/y + (2*t^8.18)/y + (3*t^8.53)/y + (2*t^8.64)/y + t^8.89/y - t^4.29*y - t^6.88*y + 3*t^7.71*y + t^8.06*y + 2*t^8.18*y + 3*t^8.53*y + 2*t^8.64*y + t^8.89*y | g1^3*t^2.12 + (2*t^2.59)/g1^2 + g1^7*t^2.94 + t^3.06/g1^7 + g1^2*t^3.41 + g1^11*t^3.77 + t^3.88/g1^3 + 2*g1^6*t^4.24 + 3*g1*t^4.71 + g1^10*t^5.06 + (3*t^5.18)/g1^4 + 2*g1^5*t^5.53 + t^5.64/g1^9 + 2*g1^14*t^5.89 + t^6.11/g1^14 + 3*g1^9*t^6.36 + g1^18*t^6.71 + 3*g1^4*t^6.82 + 2*g1^13*t^7.18 + (3*t^7.29)/g1 + g1^22*t^7.53 + 2*g1^8*t^7.65 + (3*t^7.76)/g1^6 + 3*g1^17*t^8. - g1^3*t^8.12 + t^8.23/g1^11 + 5*g1^12*t^8.47 - (3*t^8.59)/g1^2 + t^8.7/g1^16 + 2*g1^21*t^8.83 + g1^7*t^8.94 - t^4.29/(g1*y) - t^6.88/(g1^3*y) + (3*g1*t^7.71)/y + (g1^10*t^8.06)/y + (2*t^8.18)/(g1^4*y) + (3*g1^5*t^8.53)/y + (2*t^8.64)/(g1^9*y) + (g1^14*t^8.89)/y - (t^4.29*y)/g1 - (t^6.88*y)/g1^3 + 3*g1*t^7.71*y + g1^10*t^8.06*y + (2*t^8.18*y)/g1^4 + 3*g1^5*t^8.53*y + (2*t^8.64*y)/g1^9 + g1^14*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 293 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ M_1M_3$ | 0.5338 | 0.6682 | 0.7988 | [X:[], M:[1.0289, 0.9711, 0.9711], q:[0.5466, 1.0289], qb:[0.4244, 0.3022], phi:[0.4244]] | t^2.18 + 2*t^2.55 + 2*t^2.91 + t^3.45 + t^3.82 + t^3.99 + 2*t^4.36 + 3*t^4.73 + 4*t^5.09 + 3*t^5.46 + 3*t^5.83 - t^6. - t^4.27/y - t^4.27*y | detail | |
| 286 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ M_1\phi_1^2$ | 0.489 | 0.614 | 0.7964 | [X:[], M:[1.2, 0.8], q:[0.4, 1.2], qb:[0.4, 0.4], phi:[0.4]] | 4*t^2.4 + 3*t^3.6 + 11*t^4.8 + 3*t^6. - t^4.2/y - t^4.2*y | detail | {a: 489/1000, c: 307/500, M1: 6/5, M2: 4/5, q1: 2/5, q2: 6/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
| 287 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ M_1^2$ | 0.533 | 0.6669 | 0.7992 | [X:[], M:[1.0, 1.0], q:[0.5714, 1.0], qb:[0.4286, 0.2857], phi:[0.4286]] | t^2.14 + 2*t^2.57 + 2*t^3. + t^3.43 + 2*t^3.86 + 2*t^4.29 + 3*t^4.71 + 4*t^5.14 + 3*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 2925/5488, c: 915/1372, M1: 1, M2: 1, q1: 4/7, q2: 1, qb1: 3/7, qb2: 2/7, phi1: 3/7} |
| 288 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.5456 | 0.6887 | 0.7923 | [X:[], M:[0.9921, 1.0079, 0.8594], q:[0.5782, 0.9921], qb:[0.4297, 0.2812], phi:[0.4297]] | t^2.13 + 3*t^2.58 + t^2.98 + t^3.02 + t^3.82 + t^3.87 + 2*t^4.27 + 4*t^4.71 + t^5.11 + 6*t^5.16 + 2*t^5.55 + 2*t^5.6 + 2*t^5.95 - 2*t^6. - t^4.29/y - t^4.29*y | detail | |
| 289 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.5538 | 0.7072 | 0.783 | [X:[], M:[0.9766, 1.0234, 0.7043], q:[0.5914, 0.9766], qb:[0.4319, 0.2724], phi:[0.4319]] | 2*t^2.11 + 2*t^2.59 + t^2.93 + t^3.07 + t^3.41 + t^3.75 + 4*t^4.23 + 5*t^4.7 + 2*t^5.04 + 4*t^5.18 + 3*t^5.52 + t^5.66 + 3*t^5.86 - t^6. - t^4.3/y - t^4.3*y | detail | |
| 291 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ M_3\phi_1^2$ | 0.5213 | 0.6482 | 0.8042 | [X:[], M:[0.9697, 1.0303, 1.1342], q:[0.5974, 0.9697], qb:[0.4329, 0.2684], phi:[0.4329]] | t^2.1 + t^2.6 + t^2.91 + t^3.09 + 2*t^3.4 + t^3.71 + t^3.9 + 2*t^4.21 + 2*t^4.7 + t^5.01 + t^5.19 + 2*t^5.51 + 2*t^5.82 - t^4.3/y - t^4.3*y | detail | {a: 148361/284592, c: 92237/142296, M1: 32/33, M2: 34/33, M3: 262/231, q1: 46/77, q2: 32/33, qb1: 100/231, qb2: 62/231, phi1: 100/231} |
| 1724 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1^3\tilde{q}_2$ + $ M_3q_2\tilde{q}_2$ | 0.5532 | 0.705 | 0.7847 | [X:[], M:[1.0005, 0.9995, 0.7135], q:[0.571, 1.0005], qb:[0.4285, 0.286], phi:[0.4285]] | 2*t^2.14 + 2*t^2.57 + 2*t^3. + t^3.43 + t^3.86 + 2*t^4.28 + 2*t^4.29 + 5*t^4.71 + 5*t^5.14 + t^5.15 + 4*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 118 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_1M_2$ | 0.5344 | 0.6715 | 0.7957 | [X:[], M:[1.0, 1.0], q:[0.5973, 0.9638], qb:[0.4027, 0.2805], phi:[0.4389]] | t^2.05 + 2*t^2.63 + 2*t^3. + t^3.37 + 2*t^3.73 + 2*t^4.1 + 3*t^4.68 + 2*t^5.05 + 2*t^5.27 + t^5.42 + 2*t^5.63 + 2*t^5.78 + t^6. - t^4.32/y - t^4.32*y | detail |