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 |
|---|---|---|---|---|---|---|---|---|---|
| 46022 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ | 0.6765 | 0.812 | 0.8331 | [X:[], M:[1.0, 0.9097, 1.0], q:[0.5452, 0.4548], qb:[0.5452, 0.7922], phi:[0.4157]] | [X:[], M:[[1, -7], [0, -14], [-1, 7]], q:[[-1, 14], [0, -7]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_2^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$ | $M_1^2$, $ M_3^2$ | -2 | t^2.49 + t^2.73 + 2*t^3. + t^3.74 + t^3.98 + 2*t^4.01 + 2*t^4.25 + 3*t^4.52 + t^4.99 + t^5.22 + t^5.46 + 2*t^5.49 - 2*t^6. - 2*t^6.27 + 2*t^6.47 + t^6.71 + 4*t^6.74 + 2*t^6.98 + 5*t^7.01 + 2*t^7.25 + t^7.48 + 2*t^7.52 + 2*t^7.72 + 2*t^7.95 + 4*t^7.99 + t^8.19 + 2*t^8.22 + 3*t^8.26 + 4*t^8.53 - 3*t^8.73 + t^8.96 - t^4.25/y - t^6.74/y - t^6.98/y + t^7.52/y + t^7.75/y + t^8.22/y + (2*t^8.49)/y + (2*t^8.73)/y - t^4.25*y - t^6.74*y - t^6.98*y + t^7.52*y + t^7.75*y + t^8.22*y + 2*t^8.49*y + 2*t^8.73*y | t^2.49/g2^4 + t^2.73/g2^14 + (g1*t^3.)/g2^7 + (g2^7*t^3.)/g1 + t^3.74/g2^6 + t^3.98/g2^16 + g1*g2*t^4.01 + (g2^15*t^4.01)/g1 + (g1*t^4.25)/g2^9 + (g2^5*t^4.25)/g1 + (g1^2*t^4.52)/g2^2 + g2^12*t^4.52 + (g2^26*t^4.52)/g1^2 + t^4.99/g2^8 + t^5.22/g2^18 + t^5.46/g2^28 + (g1*t^5.49)/g2^11 + (g2^3*t^5.49)/g1 - 2*t^6. - g1*g2^7*t^6.27 - (g2^21*t^6.27)/g1 + (2*t^6.47)/g2^20 + t^6.71/g2^30 + (2*g1*t^6.74)/g2^13 + (2*g2*t^6.74)/g1 + (g1*t^6.98)/g2^23 + t^6.98/(g1*g2^9) + (2*g1^2*t^7.01)/g2^6 + g2^8*t^7.01 + (2*g2^22*t^7.01)/g1^2 + (g1^2*t^7.25)/g2^16 + (g2^12*t^7.25)/g1^2 + t^7.48/g2^12 + (g1^3*t^7.52)/g2^9 + (g2^33*t^7.52)/g1^3 + (2*t^7.72)/g2^22 + (2*t^7.95)/g2^32 + (2*g1*t^7.99)/g2^15 + (2*t^7.99)/(g1*g2) + t^8.19/g2^42 + (g1*t^8.22)/g2^25 + t^8.22/(g1*g2^11) + (g1^2*t^8.26)/g2^8 + g2^6*t^8.26 + (g2^20*t^8.26)/g1^2 + (g1^2*t^8.49)/g2^18 - (2*t^8.49)/g2^4 + (g2^10*t^8.49)/g1^2 + (g1^3*t^8.53)/g2 + g1*g2^13*t^8.53 + (g2^27*t^8.53)/g1 + (g2^41*t^8.53)/g1^3 - (3*t^8.73)/g2^14 + (g1^3*t^8.76)/g2^11 - g1*g2^3*t^8.76 - (g2^17*t^8.76)/g1 + (g2^31*t^8.76)/g1^3 + t^8.96/g2^24 - t^4.25/(g2^2*y) - t^6.74/(g2^6*y) - t^6.98/(g2^16*y) + (g2^12*t^7.52)/y + (g2^2*t^7.75)/y + t^8.22/(g2^18*y) + (g1*t^8.49)/(g2^11*y) + (g2^3*t^8.49)/(g1*y) + (g1*t^8.73)/(g2^21*y) + t^8.73/(g1*g2^7*y) - (t^4.25*y)/g2^2 - (t^6.74*y)/g2^6 - (t^6.98*y)/g2^16 + g2^12*t^7.52*y + g2^2*t^7.75*y + (t^8.22*y)/g2^18 + (g1*t^8.49*y)/g2^11 + (g2^3*t^8.49*y)/g1 + (g1*t^8.73*y)/g2^21 + (t^8.73*y)/(g1*g2^7) |
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 |
|---|---|---|---|---|---|---|---|---|
| 46247 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ M_2^2$ | 0.6707 | 0.8047 | 0.8336 | [X:[], M:[1.0, 1.0, 1.0], q:[0.5, 0.5], qb:[0.5, 0.7857], phi:[0.4286]] | t^2.57 + 3*t^3. + 3*t^3.86 + 6*t^4.29 + t^5.14 + 3*t^5.57 - 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 3681/5488, c: 276/343, M1: 1, M2: 1, M3: 1, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 11/14, phi1: 3/7} |
| 46239 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ M_4\phi_1q_2^2$ | 0.6973 | 0.8533 | 0.8172 | [X:[], M:[1.0, 0.912, 1.0, 0.672], q:[0.544, 0.456], qb:[0.544, 0.792], phi:[0.416]] | t^2.02 + t^2.5 + t^2.74 + 2*t^3. + t^3.74 + 2*t^4.01 + t^4.03 + 2*t^4.25 + 4*t^4.51 + t^4.75 + t^4.99 + 2*t^5.02 + t^5.23 + t^5.47 + 2*t^5.5 + t^5.76 - 2*t^6. - t^4.25/y - t^4.25*y | detail | |
| 46245 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_3$ + $ \phi_1q_1^2$ | 0.6168 | 0.7552 | 0.8167 | [X:[], M:[0.8215, 0.7498, 1.1785], q:[0.8036, 0.3749], qb:[0.4467, 0.8036], phi:[0.3928]] | t^2.25 + t^2.36 + t^2.46 + t^3.43 + 2*t^3.54 + t^3.64 + t^3.75 + t^3.86 + t^4.5 + t^4.61 + 2*t^4.71 + 2*t^4.82 + t^4.93 + t^5.68 + 2*t^5.78 + 2*t^5.89 + t^6. - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45894 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ | 0.7047 | 0.8479 | 0.8312 | [X:[], M:[0.8283, 0.8283, 0.8283], q:[0.5858, 0.5858], qb:[0.5858, 0.8225], phi:[0.355]] | t^2.13 + 3*t^2.48 + 3*t^4.23 + t^4.26 + 6*t^4.58 + 3*t^4.61 + 6*t^4.97 - 9*t^6. - t^4.06/y - t^4.06*y | detail |