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 |
|---|---|---|---|---|---|---|---|---|---|
| 1065 | 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\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_4M_6$ | 0.6672 | 0.8135 | 0.8202 | [X:[], M:[0.9793, 1.1203, 0.9793, 0.6805, 0.7801, 1.3195], q:[0.7801, 0.4398], qb:[0.5809, 0.4398], phi:[0.4398]] | [X:[], M:[[9], [-4], [9], [-6], [-1], [6]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_2$, $ q_1q_2$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_3M_5$, $ \phi_1^4$, $ M_2M_5$, $ M_1^2$, $ M_1M_3$, $ M_3^2$ | . | -3 | t^2.34 + t^2.64 + 2*t^2.94 + t^3.36 + t^3.66 + 3*t^3.96 + t^4.08 + 2*t^4.38 + t^4.68 + t^4.8 + t^4.98 + 3*t^5.28 + t^5.7 + 3*t^5.88 - 3*t^6. + 4*t^6.3 - t^6.42 + 4*t^6.6 + 2*t^6.72 + 4*t^6.9 + 2*t^7.02 + t^7.15 + 2*t^7.32 + t^7.44 + 4*t^7.62 + t^7.74 + 6*t^7.92 + 2*t^8.04 + t^8.17 + 3*t^8.22 - t^8.34 + t^8.46 + t^8.76 + 4*t^8.81 + t^8.89 - 5*t^8.94 - t^4.32/y - t^6.66/y - (2*t^7.26)/y + (2*t^7.38)/y + (2*t^7.98)/y + (2*t^8.28)/y + (2*t^8.58)/y + t^8.7/y + t^8.88/y - t^4.32*y - t^6.66*y - 2*t^7.26*y + 2*t^7.38*y + 2*t^7.98*y + 2*t^8.28*y + 2*t^8.58*y + t^8.7*y + t^8.88*y | t^2.34/g1 + g1^4*t^2.64 + 2*g1^9*t^2.94 + t^3.36/g1^4 + g1*t^3.66 + 3*g1^6*t^3.96 + t^4.08/g1^12 + (2*t^4.38)/g1^7 + t^4.68/g1^2 + t^4.8/g1^20 + g1^3*t^4.98 + 3*g1^8*t^5.28 + t^5.7/g1^5 + 3*g1^18*t^5.88 - 3*t^6. + 4*g1^5*t^6.3 - t^6.42/g1^13 + 4*g1^10*t^6.6 + (2*t^6.72)/g1^8 + 4*g1^15*t^6.9 + (2*t^7.02)/g1^3 + t^7.15/g1^21 + 2*g1^2*t^7.32 + t^7.44/g1^16 + 4*g1^7*t^7.62 + t^7.74/g1^11 + 6*g1^12*t^7.92 + (2*t^8.04)/g1^6 + t^8.17/g1^24 + 3*g1^17*t^8.22 - t^8.34/g1 + t^8.46/g1^19 + t^8.76/g1^14 + 4*g1^27*t^8.81 + t^8.89/g1^32 - 5*g1^9*t^8.94 - (g1^2*t^4.32)/y - (g1*t^6.66)/y - (2*g1^11*t^7.26)/y + (2*t^7.38)/(g1^7*y) + (2*g1^3*t^7.98)/y + (2*g1^8*t^8.28)/y + (2*g1^13*t^8.58)/y + t^8.7/(g1^5*y) + (g1^18*t^8.88)/y - g1^2*t^4.32*y - g1*t^6.66*y - 2*g1^11*t^7.26*y + (2*t^7.38*y)/g1^7 + 2*g1^3*t^7.98*y + 2*g1^8*t^8.28*y + 2*g1^13*t^8.58*y + (t^8.7*y)/g1^5 + g1^18*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 1658 | $\phi_1q_1^2$ + $ 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\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_4M_6$ + $ M_7q_1q_2$ | 0.6848 | 0.8448 | 0.8106 | [X:[], M:[0.9816, 1.1193, 0.9816, 0.6789, 0.7798, 1.3211, 0.7798], q:[0.7798, 0.4404], qb:[0.578, 0.4404], phi:[0.4404]] | 2*t^2.34 + t^2.64 + 2*t^2.94 + t^3.36 + 3*t^3.96 + t^4.07 + 2*t^4.38 + 3*t^4.68 + t^4.79 + 2*t^4.98 + 5*t^5.28 + 2*t^5.7 + 3*t^5.89 - 4*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 665 | 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\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5q_1q_2$ | 0.688 | 0.8543 | 0.8054 | [X:[], M:[0.9811, 1.1195, 0.9811, 0.6792, 0.7799], q:[0.7799, 0.4403], qb:[0.5786, 0.4403], phi:[0.4403]] | t^2.04 + t^2.34 + t^2.64 + 2*t^2.94 + t^3.36 + t^3.66 + 2*t^3.96 + 2*t^4.08 + 3*t^4.38 + 2*t^4.68 + t^4.79 + 3*t^4.98 + 3*t^5.28 + t^5.4 + 2*t^5.7 + 3*t^5.89 - t^6. - t^4.32/y - t^4.32*y | detail | {a: 30921/44944, c: 19197/22472, M1: 52/53, M2: 178/159, M3: 52/53, M4: 36/53, M5: 124/159, q1: 124/159, q2: 70/159, qb1: 92/159, qb2: 70/159, phi1: 70/159} |