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 |
|---|---|---|---|---|---|---|---|---|---|
| 800 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_4M_5$ | 0.7002 | 0.8574 | 0.8166 | [X:[], M:[0.9692, 0.9384, 1.0, 1.0616, 0.9384], q:[0.577, 0.4538], qb:[0.4846, 0.5462], phi:[0.4846]] | [X:[], M:[[-2], [-4], [0], [4], [-4]], q:[[5], [-3]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ M_1$, $ \phi_1^2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_1M_2$, $ M_1M_5$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_3M_5$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | $M_1\tilde{q}_1\tilde{q}_2$ | -1 | 2*t^2.82 + 2*t^2.91 + t^3. + t^3.09 + t^3.37 + t^4.18 + t^4.27 + t^4.36 + t^4.45 + 2*t^4.55 + t^4.64 + t^4.73 + t^4.82 + t^4.92 + 2*t^5.63 + 2*t^5.72 + 4*t^5.82 + 2*t^5.91 - t^6. - t^6.09 + t^6.18 + t^6.46 + t^6.74 + 2*t^6.99 + 3*t^7.08 + 3*t^7.18 + 3*t^7.27 + 3*t^7.36 + 3*t^7.45 + 3*t^7.55 + 2*t^7.64 + 2*t^7.73 + 2*t^7.82 + t^7.92 + t^8.1 + t^8.19 + t^8.29 + t^8.35 + 3*t^8.45 + 2*t^8.54 + 5*t^8.63 + 7*t^8.72 - 2*t^8.82 - 2*t^8.91 - t^4.45/y - t^7.27/y - (2*t^7.36)/y + (2*t^7.55)/y + t^7.64/y + t^8.63/y + (4*t^8.72)/y + (3*t^8.82)/y + (4*t^8.91)/y - t^4.45*y - t^7.27*y - 2*t^7.36*y + 2*t^7.55*y + t^7.64*y + t^8.63*y + 4*t^8.72*y + 3*t^8.82*y + 4*t^8.91*y | (2*t^2.82)/g1^4 + (2*t^2.91)/g1^2 + t^3. + g1^2*t^3.09 + g1^8*t^3.37 + t^4.18/g1^7 + t^4.27/g1^5 + t^4.36/g1^3 + t^4.45/g1 + 2*g1*t^4.55 + g1^3*t^4.64 + g1^5*t^4.73 + g1^7*t^4.82 + g1^9*t^4.92 + (2*t^5.63)/g1^8 + (2*t^5.72)/g1^6 + (4*t^5.82)/g1^4 + (2*t^5.91)/g1^2 - t^6. - g1^2*t^6.09 + g1^4*t^6.18 + g1^10*t^6.46 + g1^16*t^6.74 + (2*t^6.99)/g1^11 + (3*t^7.08)/g1^9 + (3*t^7.18)/g1^7 + (3*t^7.27)/g1^5 + (3*t^7.36)/g1^3 + (3*t^7.45)/g1 + 3*g1*t^7.55 + 2*g1^3*t^7.64 + 2*g1^5*t^7.73 + 2*g1^7*t^7.82 + g1^9*t^7.92 + g1^13*t^8.1 + g1^15*t^8.19 + g1^17*t^8.29 + t^8.35/g1^14 + (3*t^8.45)/g1^12 + (2*t^8.54)/g1^10 + (5*t^8.63)/g1^8 + (7*t^8.72)/g1^6 - (2*t^8.82)/g1^4 - (2*t^8.91)/g1^2 - t^4.45/(g1*y) - t^7.27/(g1^5*y) - (2*t^7.36)/(g1^3*y) + (2*g1*t^7.55)/y + (g1^3*t^7.64)/y + t^8.63/(g1^8*y) + (4*t^8.72)/(g1^6*y) + (3*t^8.82)/(g1^4*y) + (4*t^8.91)/(g1^2*y) - (t^4.45*y)/g1 - (t^7.27*y)/g1^5 - (2*t^7.36*y)/g1^3 + 2*g1*t^7.55*y + g1^3*t^7.64*y + (t^8.63*y)/g1^8 + (4*t^8.72*y)/g1^6 + (3*t^8.82*y)/g1^4 + (4*t^8.91*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1279 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_4M_5$ + $ M_1M_6$ | 0.6975 | 0.853 | 0.8178 | [X:[], M:[0.9743, 0.9486, 1.0, 1.0514, 0.9486, 1.0257], q:[0.5642, 0.4615], qb:[0.4872, 0.5385], phi:[0.4872]] | 2*t^2.85 + t^2.92 + t^3. + 2*t^3.08 + t^3.31 + t^4.23 + t^4.31 + t^4.38 + t^4.46 + 2*t^4.54 + t^4.62 + t^4.69 + t^4.77 + t^4.85 + 2*t^5.69 + 2*t^5.85 + 3*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 2000 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ | 0.5953 | 0.756 | 0.7874 | [X:[], M:[0.8571, 0.7143, 1.0, 1.2857, 0.7143], q:[0.8571, 0.2857], qb:[0.4286, 0.7143], phi:[0.4286]] | 2*t^2.14 + 2*t^2.57 + 2*t^3. + 2*t^3.43 + t^3.86 + 3*t^4.29 + 5*t^4.71 + 7*t^5.14 + 6*t^5.57 + 4*t^6. - t^4.29/y - t^4.29*y | detail | {a: 3267/5488, c: 4149/5488, M1: 6/7, M2: 5/7, M3: 1, M4: 9/7, M5: 5/7, q1: 6/7, q2: 2/7, qb1: 3/7, qb2: 5/7, phi1: 3/7} |
| 2002 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_4M_5$ + $ \phi_1q_1^2$ | 0.6451 | 0.8048 | 0.8015 | [X:[], M:[0.8889, 0.7778, 1.0, 1.2222, 0.7778], q:[0.7778, 0.3333], qb:[0.4444, 0.6667], phi:[0.4444]] | 2*t^2.33 + 2*t^2.67 + t^3. + 2*t^3.33 + t^3.67 + t^4. + 2*t^4.33 + 4*t^4.67 + 3*t^5. + 5*t^5.33 + 5*t^5.67 + 3*t^6. - t^4.33/y - t^4.33*y | detail | {a: 209/324, c: 1043/1296, M1: 8/9, M2: 7/9, M3: 1, M4: 11/9, M5: 7/9, q1: 7/9, q2: 1/3, qb1: 4/9, qb2: 2/3, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 511 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ | 0.6954 | 0.8497 | 0.8184 | [X:[], M:[0.9793, 0.9586, 1.0, 1.0414], q:[0.5518, 0.4689], qb:[0.4896, 0.5311], phi:[0.4896]] | t^2.88 + 2*t^2.94 + t^3. + t^3.06 + t^3.12 + t^3.25 + t^4.28 + t^4.34 + t^4.41 + t^4.47 + 2*t^4.53 + t^4.59 + t^4.66 + t^4.72 + t^4.78 + 3*t^5.88 + t^5.94 - t^4.47/y - t^4.47*y | detail |