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 |
|---|---|---|---|---|---|---|---|---|---|
| 1979 | 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_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ | 0.6785 | 0.8569 | 0.7919 | [X:[], M:[1.1312, 1.1011, 0.914, 0.8688, 0.6817, 0.6968], q:[0.7753, 0.3409], qb:[0.5279, 0.5581], phi:[0.4495]] | [X:[], M:[[8], [-4], [10], [-8], [6], [12]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_2$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_4M_6$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_3M_5$, $ M_6\phi_1^2$, $ M_3M_6$, $ M_4^2$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_2M_5$, $ M_2M_6$, $ \phi_1^4$, $ M_5q_1q_2$, $ M_1M_5$, $ M_3\phi_1^2$, $ M_6q_1q_2$, $ M_3^2$, $ M_1M_6$, $ M_4q_1q_2$ | . | -1 | 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. + 2*t^6.05 + 3*t^6.09 + 3*t^6.14 + t^6.18 + t^6.23 + t^6.27 + t^6.61 + 2*t^6.7 + 4*t^6.74 + 4*t^6.79 + 2*t^6.83 + 2*t^6.88 + t^6.92 + t^7.12 + t^7.21 + t^7.3 + t^7.35 + 4*t^7.39 + 4*t^7.44 + 4*t^7.48 + 3*t^7.53 + 2*t^7.57 + t^7.82 - t^7.95 + t^8. + 3*t^8.09 + 4*t^8.14 + 5*t^8.18 + 4*t^8.23 + t^8.27 + t^8.32 + t^8.36 - 2*t^8.61 - t^8.65 + 5*t^8.79 + 7*t^8.83 + 6*t^8.88 + 2*t^8.92 + 2*t^8.97 - t^4.35/y - t^6.39/y - t^6.44/y - t^7.09/y + t^7.14/y + t^7.61/y + t^7.65/y + t^7.7/y + t^7.74/y + (2*t^7.79)/y + t^7.83/y + t^8.26/y + (2*t^8.3)/y + (2*t^8.35)/y + (2*t^8.39)/y + (2*t^8.44)/y - t^8.53/y + t^8.91/y + t^8.95/y - t^4.35*y - t^6.39*y - t^6.44*y - t^7.09*y + t^7.14*y + t^7.61*y + t^7.65*y + t^7.7*y + t^7.74*y + 2*t^7.79*y + t^7.83*y + t^8.26*y + 2*t^8.3*y + 2*t^8.35*y + 2*t^8.39*y + 2*t^8.44*y - t^8.53*y + t^8.91*y + t^8.95*y | g1^6*t^2.05 + g1^12*t^2.09 + t^2.61/g1^8 + g1^4*t^2.7 + g1^10*t^2.74 + t^3.3/g1^4 + g1^2*t^3.35 + g1^8*t^3.39 + t^4. + g1^6*t^4.05 + g1^12*t^4.09 + g1^18*t^4.14 + g1^24*t^4.18 + t^4.52/g1^20 + t^4.61/g1^8 + t^4.65/g1^2 + 2*g1^4*t^4.7 + g1^10*t^4.74 + 2*g1^16*t^4.79 + g1^22*t^4.83 + t^5.21/g1^16 + t^5.3/g1^4 + g1^2*t^5.35 + 3*g1^8*t^5.39 + 2*g1^14*t^5.44 + 2*g1^20*t^5.48 + t^5.95/g1^6 - t^6. + 2*g1^6*t^6.05 + 3*g1^12*t^6.09 + 3*g1^18*t^6.14 + g1^24*t^6.18 + g1^30*t^6.23 + g1^36*t^6.27 + t^6.61/g1^8 + 2*g1^4*t^6.7 + 4*g1^10*t^6.74 + 4*g1^16*t^6.79 + 2*g1^22*t^6.83 + 2*g1^28*t^6.88 + g1^34*t^6.92 + t^7.12/g1^28 + t^7.21/g1^16 + t^7.3/g1^4 + g1^2*t^7.35 + 4*g1^8*t^7.39 + 4*g1^14*t^7.44 + 4*g1^20*t^7.48 + 3*g1^26*t^7.53 + 2*g1^32*t^7.57 + t^7.82/g1^24 - t^7.95/g1^6 + t^8. + 3*g1^12*t^8.09 + 4*g1^18*t^8.14 + 5*g1^24*t^8.18 + 4*g1^30*t^8.23 + g1^36*t^8.27 + g1^42*t^8.32 + g1^48*t^8.36 - (2*t^8.61)/g1^8 - t^8.65/g1^2 + 5*g1^16*t^8.79 + 7*g1^22*t^8.83 + 6*g1^28*t^8.88 + 2*g1^34*t^8.92 + 2*g1^40*t^8.97 - (g1^2*t^4.35)/y - (g1^8*t^6.39)/y - (g1^14*t^6.44)/y - (g1^12*t^7.09)/y + (g1^18*t^7.14)/y + t^7.61/(g1^8*y) + t^7.65/(g1^2*y) + (g1^4*t^7.7)/y + (g1^10*t^7.74)/y + (2*g1^16*t^7.79)/y + (g1^22*t^7.83)/y + t^8.26/(g1^10*y) + (2*t^8.3)/(g1^4*y) + (2*g1^2*t^8.35)/y + (2*g1^8*t^8.39)/y + (2*g1^14*t^8.44)/y - (g1^26*t^8.53)/y + t^8.91/(g1^12*y) + t^8.95/(g1^6*y) - g1^2*t^4.35*y - g1^8*t^6.39*y - g1^14*t^6.44*y - g1^12*t^7.09*y + g1^18*t^7.14*y + (t^7.61*y)/g1^8 + (t^7.65*y)/g1^2 + g1^4*t^7.7*y + g1^10*t^7.74*y + 2*g1^16*t^7.79*y + g1^22*t^7.83*y + (t^8.26*y)/g1^10 + (2*t^8.3*y)/g1^4 + 2*g1^2*t^8.35*y + 2*g1^8*t^8.39*y + 2*g1^14*t^8.44*y - g1^26*t^8.53*y + (t^8.91*y)/g1^12 + (t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 3031 | $\phi_1q_1^2$ + $ 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_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_6$ | 0.6272 | 0.7901 | 0.7938 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.18 + t^2.36 + t^2.73 + t^2.91 + t^3.09 + t^3.27 + 2*t^3.45 + t^3.82 + t^4. + t^4.18 + 2*t^4.36 + t^4.55 + t^4.73 + 2*t^4.91 + 2*t^5.09 + t^5.27 + 2*t^5.45 + 4*t^5.64 + 3*t^5.82 - t^4.45/y - t^4.45*y | detail | {a: 20035/31944, c: 12619/15972, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 3032 | $\phi_1q_1^2$ + $ 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_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1q_2$ | 0.689 | 0.8742 | 0.7881 | [X:[], M:[1.1352, 1.0991, 0.919, 0.8648, 0.6847, 0.7028, 0.8829], q:[0.7748, 0.3424], qb:[0.5224, 0.5586], phi:[0.4505]] | t^2.05 + t^2.11 + t^2.59 + t^2.65 + t^2.7 + t^2.76 + t^3.3 + t^3.41 + t^4. + t^4.05 + t^4.11 + t^4.16 + t^4.22 + t^4.49 + t^4.59 + t^4.65 + 3*t^4.7 + 2*t^4.76 + 2*t^4.81 + t^4.87 + t^5.19 + t^5.24 + 2*t^5.3 + 2*t^5.35 + 3*t^5.41 + t^5.46 + 2*t^5.51 + 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 |
|---|---|---|---|---|---|---|---|---|---|
| 712 | 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_5\phi_1q_2\tilde{q}_1$ | 0.658 | 0.8173 | 0.8051 | [X:[], M:[1.1372, 1.098, 0.9215, 0.8628, 0.6863], q:[0.7745, 0.3431], qb:[0.5196, 0.5588], phi:[0.451]] | 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. - t^4.35/y - t^4.35*y | detail |