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 |
|---|---|---|---|---|---|---|---|---|---|
| 46933 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_1\tilde{q}_1$ | 0.658 | 0.8173 | 0.8051 | [X:[], M:[0.9215, 1.1372, 1.098, 0.8628, 0.6863], q:[0.5196, 0.5588], qb:[0.3431, 0.7745], phi:[0.451]] | [X:[], M:[[-10], [-8], [4], [8], [-6]], q:[[11], [-1]], qb:[[-3], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ M_4M_5$, $ \phi_1q_2^2$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_4^2$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_1\phi_1^2$, $ M_1^2$, $ M_5q_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$ | . | -1 | t^2.06 + t^2.59 + t^2.71 + t^2.76 + t^3.29 + t^3.35 + t^3.41 + t^3.88 + t^4. + t^4.06 + t^4.12 + t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.76 + t^4.82 + t^5.18 + t^5.29 + t^5.35 + 2*t^5.41 + t^5.47 + t^5.53 + 2*t^5.94 - t^6. + 2*t^6.06 + 2*t^6.12 + 2*t^6.18 + t^6.47 + t^6.59 + t^6.65 + t^6.71 + 3*t^6.76 + 2*t^6.82 + t^6.88 + t^7.06 + 2*t^7.18 + t^7.24 + t^7.29 + t^7.35 + 3*t^7.41 + 3*t^7.47 + t^7.53 + t^7.59 + 2*t^7.76 + t^7.88 + 2*t^8. - t^8.06 + 4*t^8.12 + 2*t^8.18 + 2*t^8.24 + t^8.29 + t^8.35 + t^8.47 + t^8.53 - t^8.59 + 3*t^8.82 + 3*t^8.88 + 3*t^8.94 - t^4.35/y - t^6.41/y - t^7.12/y + t^7.59/y + t^7.65/y + t^7.76/y + t^7.82/y + (2*t^8.29)/y + (2*t^8.35)/y + t^8.41/y + t^8.47/y + t^8.88/y + (2*t^8.94)/y - t^4.35*y - t^6.41*y - t^7.12*y + t^7.59*y + t^7.65*y + t^7.76*y + t^7.82*y + 2*t^8.29*y + 2*t^8.35*y + t^8.41*y + t^8.47*y + t^8.88*y + 2*t^8.94*y | t^2.06/g1^6 + g1^8*t^2.59 + t^2.71/g1^4 + t^2.76/g1^10 + g1^4*t^3.29 + t^3.35/g1^2 + t^3.41/g1^8 + g1^12*t^3.88 + t^4. + t^4.06/g1^6 + t^4.12/g1^12 + g1^20*t^4.47 + g1^8*t^4.59 + g1^2*t^4.65 + t^4.71/g1^4 + t^4.76/g1^10 + t^4.82/g1^16 + g1^16*t^5.18 + g1^4*t^5.29 + t^5.35/g1^2 + (2*t^5.41)/g1^8 + t^5.47/g1^14 + t^5.53/g1^20 + 2*g1^6*t^5.94 - t^6. + (2*t^6.06)/g1^6 + (2*t^6.12)/g1^12 + (2*t^6.18)/g1^18 + g1^20*t^6.47 + g1^8*t^6.59 + g1^2*t^6.65 + t^6.71/g1^4 + (3*t^6.76)/g1^10 + (2*t^6.82)/g1^16 + t^6.88/g1^22 + g1^28*t^7.06 + 2*g1^16*t^7.18 + g1^10*t^7.24 + g1^4*t^7.29 + t^7.35/g1^2 + (3*t^7.41)/g1^8 + (3*t^7.47)/g1^14 + t^7.53/g1^20 + t^7.59/g1^26 + 2*g1^24*t^7.76 + g1^12*t^7.88 + 2*t^8. - t^8.06/g1^6 + (4*t^8.12)/g1^12 + (2*t^8.18)/g1^18 + (2*t^8.24)/g1^24 + t^8.29/g1^30 + g1^32*t^8.35 + g1^20*t^8.47 + g1^14*t^8.53 - g1^8*t^8.59 + (3*t^8.82)/g1^16 + (3*t^8.88)/g1^22 + (2*t^8.94)/g1^28 + g1^40*t^8.94 - t^4.35/(g1^2*y) - t^6.41/(g1^8*y) - t^7.12/(g1^12*y) + (g1^8*t^7.59)/y + (g1^2*t^7.65)/y + t^7.76/(g1^10*y) + t^7.82/(g1^16*y) + (2*g1^4*t^8.29)/y + (2*t^8.35)/(g1^2*y) + t^8.41/(g1^8*y) + t^8.47/(g1^14*y) + (g1^12*t^8.88)/y + (2*g1^6*t^8.94)/y - (t^4.35*y)/g1^2 - (t^6.41*y)/g1^8 - (t^7.12*y)/g1^12 + g1^8*t^7.59*y + g1^2*t^7.65*y + (t^7.76*y)/g1^10 + (t^7.82*y)/g1^16 + 2*g1^4*t^8.29*y + (2*t^8.35*y)/g1^2 + (t^8.41*y)/g1^8 + (t^8.47*y)/g1^14 + g1^12*t^8.88*y + 2*g1^6*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 55398 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_1M_6$ | 0.6523 | 0.8085 | 0.8069 | [X:[], M:[0.9565, 1.1652, 1.0841, 0.8348, 0.7073, 1.0435], q:[0.4811, 0.5623], qb:[0.3536, 0.771], phi:[0.458]] | t^2.12 + t^2.5 + t^2.75 + t^3.13 + t^3.25 + t^3.37 + t^3.5 + t^3.76 + t^4. + t^4.12 + t^4.24 + t^4.26 + t^4.5 + t^4.63 + t^4.75 + t^4.87 + t^5.01 + 2*t^5.25 + 2*t^5.5 + t^5.63 + 3*t^5.88 - t^6. - t^4.37/y - t^4.37*y | detail | |
| 55041 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_1\phi_1^2$ | 0.6366 | 0.7943 | 0.8014 | [X:[], M:[1.0476, 1.2381, 1.0476, 0.7619, 0.7619], q:[0.381, 0.5714], qb:[0.381, 0.7619], phi:[0.4762]] | 2*t^2.29 + t^2.86 + 2*t^3.14 + 2*t^3.43 + 2*t^3.71 + t^4. + 2*t^4.29 + 3*t^4.57 + t^4.86 + 2*t^5.14 + 2*t^5.43 + 5*t^5.71 + t^6. - t^4.43/y - t^4.43*y | detail | {a: 10481/16464, c: 6539/8232, M1: 22/21, M2: 26/21, M3: 22/21, M4: 16/21, M5: 16/21, q1: 8/21, q2: 4/7, qb1: 8/21, qb2: 16/21, phi1: 10/21} |
| 55101 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_1^2$ | 0.6498 | 0.8082 | 0.8041 | [X:[], M:[1.0, 1.2, 1.0667, 0.8, 0.7333], q:[0.4333, 0.5667], qb:[0.3667, 0.7667], phi:[0.4667]] | t^2.2 + t^2.4 + t^2.8 + t^3. + t^3.2 + t^3.4 + 2*t^3.6 + 2*t^4. + t^4.2 + 2*t^4.4 + t^4.6 + 2*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + 2*t^5.6 + 3*t^5.8 + t^6. - t^4.4/y - t^4.4*y | detail | {a: 3899/6000, c: 4849/6000, M1: 1, M2: 6/5, M3: 16/15, M4: 4/5, M5: 11/15, q1: 13/30, q2: 17/30, qb1: 11/30, qb2: 23/30, phi1: 7/15} |
| 55197 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_2M_6$ | 0.6708 | 0.8396 | 0.799 | [X:[], M:[0.944, 1.1552, 1.0891, 0.8448, 0.6997, 0.8448], q:[0.495, 0.5611], qb:[0.3499, 0.7723], 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 | |
| 55312 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6\phi_1^2$ | 0.6493 | 0.8027 | 0.8089 | [X:[], M:[0.9348, 1.1478, 1.0927, 0.8522, 0.6942, 1.0927], q:[0.505, 0.5601], qb:[0.3471, 0.7732], phi:[0.4536]] | t^2.08 + t^2.56 + t^2.8 + 2*t^3.28 + t^3.36 + t^3.44 + t^3.83 + t^4. + t^4.08 + t^4.17 + t^4.39 + t^4.56 + t^4.64 + t^4.72 + t^4.89 + t^5.11 + 2*t^5.36 + t^5.44 + t^5.61 + t^5.83 + 2*t^5.92 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
| 55350 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6785 | 0.8569 | 0.7919 | [X:[], M:[0.914, 1.1312, 1.1011, 0.8688, 0.6817, 0.6968], q:[0.5279, 0.5581], qb:[0.3409, 0.7753], phi:[0.4495]] | t^2.05 + t^2.09 + t^2.61 + t^2.7 + t^2.74 + t^3.3 + t^3.35 + t^3.39 + t^4. + t^4.05 + t^4.09 + t^4.14 + t^4.18 + t^4.52 + t^4.61 + t^4.65 + 2*t^4.7 + t^4.74 + 2*t^4.79 + t^4.83 + t^5.21 + t^5.3 + t^5.35 + 3*t^5.39 + 2*t^5.44 + 2*t^5.48 + t^5.95 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46699 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ | 0.6373 | 0.7771 | 0.8201 | [X:[], M:[0.9242, 1.1394, 1.097, 0.8606], q:[0.5167, 0.5591], qb:[0.3439, 0.7742], phi:[0.4515]] | t^2.58 + t^2.71 + t^2.77 + t^3.29 + t^3.35 + t^3.42 + t^3.87 + t^3.94 + t^4. + t^4.06 + t^4.45 + t^4.58 + t^4.71 + t^5.16 + t^5.29 + t^5.42 + t^5.55 + t^5.94 - t^6. - t^4.35/y - t^4.35*y | detail |