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 |
|---|---|---|---|---|---|---|---|---|---|
| 799 | 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_5\tilde{q}_1\tilde{q}_2$ | 0.6976 | 0.853 | 0.8178 | [X:[], M:[0.9741, 0.9483, 1.0, 1.0517, 0.9741], q:[0.5647, 0.4612], qb:[0.4871, 0.5388], phi:[0.4871]] | [X:[], M:[[-2], [-4], [0], [4], [-2]], q:[[5], [-3]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ 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_1M_2$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_3M_5$, $ M_3\phi_1^2$ | . | -2 | t^2.84 + 3*t^2.92 + t^3. + t^3.16 + 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 + t^5.77 + 6*t^5.84 + t^5.92 - 2*t^6. + t^6.08 + t^6.23 + t^6.31 + t^6.47 + t^6.62 + t^7.07 + 3*t^7.15 + 3*t^7.23 + 2*t^7.31 + 2*t^7.38 + 4*t^7.46 + 3*t^7.54 + t^7.62 + 3*t^7.69 + 3*t^7.77 + t^7.85 + 2*t^8. + t^8.08 + t^8.16 + t^8.46 + t^8.53 + 2*t^8.69 + 11*t^8.77 - 6*t^8.92 - t^4.46/y - (3*t^7.38)/y + (3*t^7.54)/y + (3*t^8.77)/y + (4*t^8.84)/y + (3*t^8.92)/y - t^4.46*y - 3*t^7.38*y + 3*t^7.54*y + 3*t^8.77*y + 4*t^8.84*y + 3*t^8.92*y | t^2.84/g1^4 + (3*t^2.92)/g1^2 + t^3. + g1^4*t^3.16 + g1^8*t^3.31 + t^4.23/g1^7 + t^4.31/g1^5 + t^4.38/g1^3 + t^4.46/g1 + 2*g1*t^4.54 + g1^3*t^4.62 + g1^5*t^4.69 + g1^7*t^4.77 + g1^9*t^4.85 + t^5.77/g1^6 + (6*t^5.84)/g1^4 + t^5.92/g1^2 - 2*t^6. + g1^2*t^6.08 + g1^6*t^6.23 + g1^8*t^6.31 + g1^12*t^6.47 + g1^16*t^6.62 + t^7.07/g1^11 + (3*t^7.15)/g1^9 + (3*t^7.23)/g1^7 + (2*t^7.31)/g1^5 + (2*t^7.38)/g1^3 + (4*t^7.46)/g1 + 3*g1*t^7.54 + g1^3*t^7.62 + 3*g1^5*t^7.69 + 3*g1^7*t^7.77 + g1^9*t^7.85 + 2*g1^13*t^8. + g1^15*t^8.08 + g1^17*t^8.16 + t^8.46/g1^14 + t^8.53/g1^12 + (2*t^8.69)/g1^8 + (11*t^8.77)/g1^6 - (6*t^8.92)/g1^2 - t^4.46/(g1*y) - (3*t^7.38)/(g1^3*y) + (3*g1*t^7.54)/y + (3*t^8.77)/(g1^6*y) + (4*t^8.84)/(g1^4*y) + (3*t^8.92)/(g1^2*y) - (t^4.46*y)/g1 - (3*t^7.38*y)/g1^3 + 3*g1*t^7.54*y + (3*t^8.77*y)/g1^6 + (4*t^8.84*y)/g1^4 + (3*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 1278 | $M_1q_1q_2$ + $ \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_5\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ | 0.7033 | 0.8629 | 0.815 | [X:[], M:[0.964, 0.9281, 1.0, 1.0719, 0.964, 0.9281], q:[0.5899, 0.446], qb:[0.482, 0.554], phi:[0.482]] | 2*t^2.78 + 3*t^2.89 + t^3. + t^3.43 + t^4.12 + t^4.23 + t^4.34 + t^4.45 + 2*t^4.55 + t^4.66 + t^4.77 + t^4.88 + t^4.99 + 2*t^5.57 + 4*t^5.68 + 7*t^5.78 + t^5.89 - 3*t^6. - t^4.45/y - t^4.45*y | detail | |
| 1277 | $M_1q_1q_2$ + $ \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_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.7097 | 0.8751 | 0.811 | [X:[], M:[0.9582, 0.9163, 1.0, 1.0837, 0.9582, 0.8326], q:[0.6046, 0.4372], qb:[0.4791, 0.5628], phi:[0.4791]] | t^2.5 + t^2.75 + 3*t^2.87 + t^3. + t^3.25 + t^4.06 + t^4.19 + t^4.31 + t^4.44 + 2*t^4.56 + t^4.69 + t^4.81 + t^4.94 + t^5. + t^5.06 + t^5.25 + 3*t^5.37 + t^5.5 + t^5.62 + 7*t^5.75 + t^5.87 - 2*t^6. - t^4.44/y - t^4.44*y | detail | |
| 2006 | $M_1q_1q_2$ + $ \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_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1\tilde{q}_2$ | 0.5876 | 0.7394 | 0.7947 | [X:[], M:[0.8571, 0.7143, 1.0, 1.2857, 0.8571], q:[0.8571, 0.2857], qb:[0.4286, 0.7143], phi:[0.4286]] | t^2.14 + 3*t^2.57 + 2*t^3. + t^3.43 + 2*t^3.86 + t^4.29 + 4*t^4.71 + 8*t^5.14 + 5*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 3225/5488, c: 2029/2744, M1: 6/7, M2: 5/7, M3: 1, M4: 9/7, M5: 6/7, q1: 6/7, q2: 2/7, qb1: 3/7, qb2: 5/7, phi1: 3/7} |
| 2007 | $M_1q_1q_2$ + $ \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_5\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ | 0.6373 | 0.7901 | 0.8066 | [X:[], M:[0.8889, 0.7778, 1.0, 1.2222, 0.8889], q:[0.7778, 0.3333], qb:[0.4444, 0.6667], phi:[0.4444]] | t^2.33 + 3*t^2.67 + t^3. + t^3.33 + 2*t^3.67 + t^4. + 2*t^4.33 + 2*t^4.67 + 2*t^5. + 7*t^5.33 + 3*t^5.67 + 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 413/648, c: 64/81, M1: 8/9, M2: 7/9, M3: 1, M4: 11/9, M5: 8/9, 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 |