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 |
|---|---|---|---|---|---|---|---|---|---|
| 46290 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1q_2\tilde{q}_1$ | 0.6305 | 0.8262 | 0.7631 | [X:[], M:[0.9451, 0.8352, 0.7254], q:[0.7363, 0.3187], qb:[0.4285, 0.4067], phi:[0.5275]] | [X:[], M:[[4], [12], [20]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_2M_3$, $ M_2q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2^2$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 0 | 2*t^2.18 + t^2.24 + 2*t^2.51 + t^2.84 + t^3.16 + t^3.43 + t^3.49 + t^3.76 + t^4.02 + t^4.09 + t^4.15 + 3*t^4.35 + 2*t^4.42 + t^4.48 + 4*t^4.68 + 2*t^4.75 + 5*t^5.01 + t^5.08 + 4*t^5.34 + t^5.41 + 2*t^5.61 + 4*t^5.67 + 3*t^5.93 - t^6.07 + 2*t^6.2 + 4*t^6.26 + t^6.33 + t^6.39 + 6*t^6.53 + 5*t^6.59 + 3*t^6.66 + t^6.72 + 7*t^6.86 + 4*t^6.92 + t^6.99 + 10*t^7.19 + 3*t^7.25 + t^7.45 + 11*t^7.52 + t^7.58 + 4*t^7.78 + 8*t^7.85 + t^8.05 + 6*t^8.11 + 3*t^8.18 - 3*t^8.24 + 3*t^8.37 + 8*t^8.44 - t^8.51 - 2*t^8.57 + t^8.64 + 9*t^8.7 + 10*t^8.77 - t^8.84 + t^8.9 + t^8.97 - t^4.58/y - t^6.76/y - t^7.09/y + t^7.35/y + (2*t^7.42)/y + (4*t^7.68)/y + (2*t^7.75)/y + (3*t^8.01)/y + (2*t^8.08)/y + (4*t^8.34)/y + (2*t^8.41)/y + (2*t^8.61)/y + (5*t^8.67)/y + t^8.74/y + (3*t^8.93)/y - t^4.58*y - t^6.76*y - t^7.09*y + t^7.35*y + 2*t^7.42*y + 4*t^7.68*y + 2*t^7.75*y + 3*t^8.01*y + 2*t^8.08*y + 4*t^8.34*y + 2*t^8.41*y + 2*t^8.61*y + 5*t^8.67*y + t^8.74*y + 3*t^8.93*y | 2*g1^20*t^2.18 + t^2.24/g1^18 + 2*g1^12*t^2.51 + g1^4*t^2.84 + t^3.16/g1^4 + g1^26*t^3.43 + t^3.49/g1^12 + g1^18*t^3.76 + g1^48*t^4.02 + g1^10*t^4.09 + t^4.15/g1^28 + 3*g1^40*t^4.35 + 2*g1^2*t^4.42 + t^4.48/g1^36 + 4*g1^32*t^4.68 + (2*t^4.75)/g1^6 + 5*g1^24*t^5.01 + t^5.08/g1^14 + 4*g1^16*t^5.34 + t^5.41/g1^22 + 2*g1^46*t^5.61 + 4*g1^8*t^5.67 + 3*g1^38*t^5.93 - t^6.07/g1^38 + 2*g1^68*t^6.2 + 4*g1^30*t^6.26 + t^6.33/g1^8 + t^6.39/g1^46 + 6*g1^60*t^6.53 + 5*g1^22*t^6.59 + (3*t^6.66)/g1^16 + t^6.72/g1^54 + 7*g1^52*t^6.86 + 4*g1^14*t^6.92 + t^6.99/g1^24 + 10*g1^44*t^7.19 + 3*g1^6*t^7.25 + g1^74*t^7.45 + 11*g1^36*t^7.52 + t^7.58/g1^2 + 4*g1^66*t^7.78 + 8*g1^28*t^7.85 + g1^96*t^8.05 + 6*g1^58*t^8.11 + 3*g1^20*t^8.18 - (3*t^8.24)/g1^18 + 3*g1^88*t^8.37 + 8*g1^50*t^8.44 - g1^12*t^8.51 - (2*t^8.57)/g1^26 + t^8.64/g1^64 + 9*g1^80*t^8.7 + 10*g1^42*t^8.77 - g1^4*t^8.84 + t^8.9/g1^34 + t^8.97/g1^72 - t^4.58/(g1^2*y) - (g1^18*t^6.76)/y - (g1^10*t^7.09)/y + (g1^40*t^7.35)/y + (2*g1^2*t^7.42)/y + (4*g1^32*t^7.68)/y + (2*t^7.75)/(g1^6*y) + (3*g1^24*t^8.01)/y + (2*t^8.08)/(g1^14*y) + (4*g1^16*t^8.34)/y + (2*t^8.41)/(g1^22*y) + (2*g1^46*t^8.61)/y + (5*g1^8*t^8.67)/y + t^8.74/(g1^30*y) + (3*g1^38*t^8.93)/y - (t^4.58*y)/g1^2 - g1^18*t^6.76*y - g1^10*t^7.09*y + g1^40*t^7.35*y + 2*g1^2*t^7.42*y + 4*g1^32*t^7.68*y + (2*t^7.75*y)/g1^6 + 3*g1^24*t^8.01*y + (2*t^8.08*y)/g1^14 + 4*g1^16*t^8.34*y + (2*t^8.41*y)/g1^22 + 2*g1^46*t^8.61*y + 5*g1^8*t^8.67*y + (t^8.74*y)/g1^30 + 3*g1^38*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 |
|---|---|---|---|---|---|---|---|---|
| 46491 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1^2$ | 0.6356 | 0.8354 | 0.7609 | [X:[], M:[0.9443, 0.8329, 0.7215, 0.9443], q:[0.7361, 0.3196], qb:[0.431, 0.4019], phi:[0.5279]] | 2*t^2.16 + t^2.25 + 2*t^2.5 + 2*t^2.83 + t^3.41 + t^3.5 + t^3.75 + t^3.99 + t^4.08 + t^4.17 + 3*t^4.33 + 2*t^4.42 + t^4.5 + 4*t^4.66 + 2*t^4.75 + 7*t^5. + 2*t^5.08 + 4*t^5.33 + 2*t^5.58 + 4*t^5.67 + 3*t^5.91 - t^6. - t^4.58/y - t^4.58*y | detail | |
| 46361 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ | 0.6441 | 0.8475 | 0.76 | [X:[], M:[0.949, 0.847, 0.7451, 0.8314], q:[0.7373, 0.3137], qb:[0.4157, 0.4313], phi:[0.5255]] | t^2.19 + 2*t^2.24 + t^2.49 + 2*t^2.54 + t^2.85 + t^3.15 + t^3.46 + t^3.81 + t^4.07 + t^4.12 + t^4.16 + t^4.38 + 2*t^4.42 + 3*t^4.47 + t^4.68 + 4*t^4.73 + 4*t^4.78 + t^4.99 + 3*t^5.04 + 5*t^5.08 + 2*t^5.34 + 4*t^5.39 + t^5.65 + 3*t^5.69 - t^4.58/y - t^4.58*y | detail | |
| 46379 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ | 0.6302 | 0.8243 | 0.7645 | [X:[], M:[0.9474, 0.8421, 0.7368], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 3*t^2.21 + 2*t^2.53 + t^2.84 + t^3.16 + 2*t^3.47 + t^3.79 + 3*t^4.11 + 6*t^4.42 + 6*t^4.74 + 6*t^5.05 + 5*t^5.37 + 6*t^5.68 + 2*t^6. - t^4.58/y - t^4.58*y | detail | {a: 69159/109744, c: 45229/54872, M1: 18/19, M2: 16/19, M3: 14/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46064 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ | 0.6107 | 0.7887 | 0.7743 | [X:[], M:[0.9465, 0.8395], q:[0.7366, 0.3169], qb:[0.4238, 0.4157], phi:[0.5267]] | t^2.2 + t^2.22 + 2*t^2.52 + t^2.84 + t^3.16 + t^3.46 + t^3.48 + t^3.78 + t^3.8 + t^4.07 + t^4.1 + t^4.12 + t^4.4 + t^4.42 + t^4.44 + 2*t^4.72 + 2*t^4.74 + 4*t^5.04 + t^5.06 + 3*t^5.36 + t^5.38 + t^5.65 + 3*t^5.68 + 2*t^5.98 + t^6. - t^4.58/y - t^4.58*y | detail |