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 |
|---|---|---|---|---|---|---|---|---|---|
| 171 | 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_1M_3$ | 0.6765 | 0.812 | 0.8331 | [X:[], M:[1.0, 0.9097, 1.0], q:[0.7922, 0.5452], qb:[0.4548, 0.5452], phi:[0.4157]] | [X:[], M:[[7, 1], [14, 0], [-7, -1]], q:[[-1, 0], [-14, -1]], qb:[[7, 0], [0, 1]], phi:[[2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_2^2$, $ M_3\phi_1^2$, $ M_1\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 | g1^4*t^2.49 + g1^14*t^2.73 + t^3./(g1^7*g2) + g1^7*g2*t^3. + g1^6*t^3.74 + g1^16*t^3.98 + t^4.01/(g1^15*g2) + (g2*t^4.01)/g1 + t^4.25/(g1^5*g2) + g1^9*g2*t^4.25 + t^4.52/g1^12 + t^4.52/(g1^26*g2^2) + g1^2*g2^2*t^4.52 + g1^8*t^4.99 + g1^18*t^5.22 + g1^28*t^5.46 + t^5.49/(g1^3*g2) + g1^11*g2*t^5.49 - 2*t^6. - t^6.27/(g1^21*g2) - (g2*t^6.27)/g1^7 + 2*g1^20*t^6.47 + g1^30*t^6.71 + (2*t^6.74)/(g1*g2) + 2*g1^13*g2*t^6.74 + (g1^9*t^6.98)/g2 + g1^23*g2*t^6.98 + t^7.01/g1^8 + (2*t^7.01)/(g1^22*g2^2) + 2*g1^6*g2^2*t^7.01 + t^7.25/(g1^12*g2^2) + g1^16*g2^2*t^7.25 + g1^12*t^7.48 + t^7.52/(g1^33*g2^3) + g1^9*g2^3*t^7.52 + 2*g1^22*t^7.72 + 2*g1^32*t^7.95 + (2*g1*t^7.99)/g2 + 2*g1^15*g2*t^7.99 + g1^42*t^8.19 + (g1^11*t^8.22)/g2 + g1^25*g2*t^8.22 + t^8.26/g1^6 + t^8.26/(g1^20*g2^2) + g1^8*g2^2*t^8.26 - 2*g1^4*t^8.49 + t^8.49/(g1^10*g2^2) + g1^18*g2^2*t^8.49 + t^8.53/(g1^41*g2^3) + t^8.53/(g1^27*g2) + (g2*t^8.53)/g1^13 + g1*g2^3*t^8.53 - 3*g1^14*t^8.73 + t^8.76/(g1^31*g2^3) - t^8.76/(g1^17*g2) - (g2*t^8.76)/g1^3 + g1^11*g2^3*t^8.76 + g1^24*t^8.96 - (g1^2*t^4.25)/y - (g1^6*t^6.74)/y - (g1^16*t^6.98)/y + t^7.52/(g1^12*y) + t^7.75/(g1^2*y) + (g1^18*t^8.22)/y + t^8.49/(g1^3*g2*y) + (g1^11*g2*t^8.49)/y + (g1^7*t^8.73)/(g2*y) + (g1^21*g2*t^8.73)/y - g1^2*t^4.25*y - g1^6*t^6.74*y - g1^16*t^6.98*y + (t^7.52*y)/g1^12 + (t^7.75*y)/g1^2 + g1^18*t^8.22*y + (t^8.49*y)/(g1^3*g2) + g1^11*g2*t^8.49*y + (g1^7*t^8.73*y)/g2 + g1^21*g2*t^8.73*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 |
|---|---|---|---|---|---|---|---|---|
| 268 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ | 0.6707 | 0.8047 | 0.8336 | [X:[], M:[1.0, 1.0, 1.0], q:[0.7857, 0.5], qb:[0.5, 0.5], 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: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
| 270 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6973 | 0.8533 | 0.8172 | [X:[], M:[1.0, 0.912, 1.0, 0.672], q:[0.792, 0.544], qb:[0.456, 0.544], 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 | |
| 269 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ | 0.6955 | 0.8466 | 0.8215 | [X:[], M:[1.0, 0.9217, 1.0, 0.7479], q:[0.7913, 0.5392], qb:[0.4608, 0.5392], phi:[0.4174]] | t^2.24 + t^2.5 + t^2.76 + 2*t^3. + 2*t^3.99 + t^4.02 + 2*t^4.25 + 4*t^4.49 + t^4.75 + 2*t^5.01 + 2*t^5.24 + t^5.27 + 2*t^5.5 + t^5.53 - 2*t^6. - t^4.25/y - t^4.25*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 |
|---|---|---|---|---|---|---|---|---|---|
| 107 | 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$ | 0.7047 | 0.8479 | 0.8312 | [X:[], M:[0.8283, 0.8283, 0.8283], q:[0.8225, 0.5858], qb:[0.5858, 0.5858], 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 |