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 |
|---|---|---|---|---|---|---|---|---|---|
| 46813 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6256 | 0.8117 | 0.7708 | [X:[], M:[0.7331, 0.7105, 1.0, 1.2669, 0.7556], q:[0.7556, 0.5113], qb:[0.5339, 0.2444], phi:[0.4887]] | [X:[], M:[[3], [7], [0], [-3], [-1]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ q_2\tilde{q}_1$, $ M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_5$, $ M_2q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_2^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_5\phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2^3$, $ M_3M_5$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1^3\tilde{q}_2^2$, $ \phi_1^2\tilde{q}_2^4$, $ M_2M_4$, $ M_3\phi_1^2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | . | -3 | t^2.13 + 2*t^2.27 + t^2.33 + 2*t^2.93 + t^3. + t^3.14 + 2*t^3.8 + t^4.26 + 2*t^4.4 + t^4.47 + 4*t^4.53 + 3*t^4.6 + 2*t^4.67 + 2*t^5.06 + 3*t^5.2 + 5*t^5.27 + t^5.33 + 2*t^5.4 + t^5.47 + 3*t^5.86 + 2*t^5.93 - 3*t^6. + 4*t^6.07 + 2*t^6.14 + t^6.27 + t^6.39 + 2*t^6.53 + 2*t^6.67 + 4*t^6.73 + 6*t^6.8 + 3*t^6.87 + 6*t^6.94 + 2*t^7. + 2*t^7.2 + 3*t^7.33 + 2*t^7.4 + 3*t^7.47 + 6*t^7.53 + 7*t^7.6 + 4*t^7.67 + 2*t^7.74 + 2*t^7.8 + 3*t^8. + 6*t^8.2 - 6*t^8.27 + t^8.33 + 4*t^8.4 + 3*t^8.47 + t^8.53 + 2*t^8.54 + t^8.61 + 2*t^8.66 + 7*t^8.8 + 3*t^8.86 - 5*t^8.93 - t^4.47/y - t^6.6/y - t^6.73/y + t^7.4/y + t^7.47/y + (2*t^7.53)/y + (2*t^7.6)/y + (2*t^8.06)/y + t^8.13/y + (5*t^8.2)/y + (5*t^8.27)/y + (2*t^8.33)/y + (2*t^8.4)/y + t^8.47/y - t^8.73/y + (4*t^8.93)/y - t^4.47*y - t^6.6*y - t^6.73*y + t^7.4*y + t^7.47*y + 2*t^7.53*y + 2*t^7.6*y + 2*t^8.06*y + t^8.13*y + 5*t^8.2*y + 5*t^8.27*y + 2*t^8.33*y + 2*t^8.4*y + t^8.47*y - t^8.73*y + 4*t^8.93*y | g1^7*t^2.13 + (2*t^2.27)/g1 + t^2.33/g1^5 + 2*g1^4*t^2.93 + t^3. + t^3.14/g1^8 + (2*t^3.8)/g1^3 + g1^14*t^4.26 + 2*g1^6*t^4.4 + g1^2*t^4.47 + (4*t^4.53)/g1^2 + (3*t^4.6)/g1^6 + (2*t^4.67)/g1^10 + 2*g1^11*t^5.06 + 3*g1^3*t^5.2 + (5*t^5.27)/g1 + t^5.33/g1^5 + (2*t^5.4)/g1^9 + t^5.47/g1^13 + 3*g1^8*t^5.86 + 2*g1^4*t^5.93 - 3*t^6. + (4*t^6.07)/g1^4 + (2*t^6.14)/g1^8 + t^6.27/g1^16 + g1^21*t^6.39 + 2*g1^13*t^6.53 + 2*g1^5*t^6.67 + 4*g1*t^6.73 + (6*t^6.8)/g1^3 + (3*t^6.87)/g1^7 + (6*t^6.94)/g1^11 + (2*t^7.)/g1^15 + 2*g1^18*t^7.2 + 3*g1^10*t^7.33 + 2*g1^6*t^7.4 + 3*g1^2*t^7.47 + (6*t^7.53)/g1^2 + (7*t^7.6)/g1^6 + (4*t^7.67)/g1^10 + (2*t^7.74)/g1^14 + (2*t^7.8)/g1^18 + 3*g1^15*t^8. + 6*g1^3*t^8.2 - (6*t^8.27)/g1 + t^8.33/g1^5 + (4*t^8.4)/g1^9 + (3*t^8.47)/g1^13 + g1^28*t^8.53 + (2*t^8.54)/g1^17 + t^8.61/g1^21 + 2*g1^20*t^8.66 + 7*g1^12*t^8.8 + 3*g1^8*t^8.86 - 5*g1^4*t^8.93 - (g1^2*t^4.47)/y - (g1^9*t^6.6)/y - (g1*t^6.73)/y + (g1^6*t^7.4)/y + (g1^2*t^7.47)/y + (2*t^7.53)/(g1^2*y) + (2*t^7.6)/(g1^6*y) + (2*g1^11*t^8.06)/y + (g1^7*t^8.13)/y + (5*g1^3*t^8.2)/y + (5*t^8.27)/(g1*y) + (2*t^8.33)/(g1^5*y) + (2*t^8.4)/(g1^9*y) + t^8.47/(g1^13*y) - (g1^16*t^8.73)/y + (4*g1^4*t^8.93)/y - g1^2*t^4.47*y - g1^9*t^6.6*y - g1*t^6.73*y + g1^6*t^7.4*y + g1^2*t^7.47*y + (2*t^7.53*y)/g1^2 + (2*t^7.6*y)/g1^6 + 2*g1^11*t^8.06*y + g1^7*t^8.13*y + 5*g1^3*t^8.2*y + (5*t^8.27*y)/g1 + (2*t^8.33*y)/g1^5 + (2*t^8.4*y)/g1^9 + (t^8.47*y)/g1^13 - g1^16*t^8.73*y + 4*g1^4*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 54349 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1^2$ | 0.6242 | 0.8107 | 0.7699 | [X:[], M:[0.7441, 0.7363, 1.0, 1.2559, 0.752, 1.0078], q:[0.752, 0.5039], qb:[0.5117, 0.248], phi:[0.4961]] | t^2.21 + 2*t^2.26 + t^2.28 + t^2.98 + t^3. + t^3.02 + t^3.05 + 2*t^3.77 + t^4.42 + 2*t^4.46 + t^4.49 + 4*t^4.51 + 3*t^4.54 + 2*t^4.56 + t^5.19 + 2*t^5.23 + 4*t^5.26 + 3*t^5.28 + 3*t^5.3 + t^5.33 + t^5.95 + t^5.98 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 55426 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_1$ | 0.5963 | 0.7549 | 0.7898 | [X:[1.3846], M:[0.6923, 0.6154, 1.0, 1.3077, 0.7692], q:[0.7692, 0.5385], qb:[0.6154, 0.2308], phi:[0.4615]] | 2*t^2.31 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + 2*t^3.92 + t^4.15 + 4*t^4.62 + 2*t^4.85 + 5*t^5.08 + 4*t^5.31 + 4*t^5.54 + 2*t^5.77 - 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 20961/35152, c: 13269/17576, X1: 18/13, M1: 9/13, M2: 8/13, M3: 1, M4: 17/13, M5: 10/13, q1: 10/13, q2: 7/13, qb1: 8/13, qb2: 3/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46763 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ | 0.6068 | 0.7776 | 0.7804 | [X:[], M:[0.7318, 0.7075, 1.0, 1.2682], q:[0.7561, 0.5122], qb:[0.5365, 0.2439], phi:[0.4878]] | t^2.12 + t^2.27 + t^2.34 + 2*t^2.93 + t^3. + t^3.15 + t^3.73 + 2*t^3.8 + t^4.24 + t^4.39 + t^4.46 + 2*t^4.54 + 2*t^4.61 + 2*t^4.68 + 2*t^5.05 + t^5.2 + 4*t^5.27 + t^5.34 + t^5.41 + t^5.49 + 4*t^5.85 + 2*t^5.93 - 2*t^6. - t^4.46/y - t^4.46*y | detail |