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 |
|---|---|---|---|---|---|---|---|---|---|
| 46003 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.6789 | 0.8759 | 0.775 | [X:[], M:[0.8267, 0.8267, 0.6933], q:[0.75, 0.4233], qb:[0.4233, 0.4033], phi:[0.5]] | [X:[], M:[[1, 1], [-1, 0], [0, -2]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 325849/480000, c: 420449/480000, M1: 62/75, M2: 62/75, M3: 52/75, q1: 3/4, q2: 127/300, qb1: 127/300, qb2: 121/300, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ q_2\tilde{q}_2$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ M_2M_3$, $ M_3q_2\tilde{q}_2$, $ M_1M_3$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ M_2^2$, $ M_2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_2\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ \phi_1^2\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$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -4 | t^2.08 + 4*t^2.48 + t^2.54 + t^3. + t^3.46 + 2*t^3.98 + 3*t^4.04 + t^4.16 + 4*t^4.56 + t^4.62 + 10*t^4.96 + 4*t^5.02 + 2*t^5.08 + 4*t^5.48 + 2*t^5.54 + 2*t^5.94 - 4*t^6. + 3*t^6.12 + t^6.24 + 7*t^6.46 + 10*t^6.52 + 3*t^6.58 + 4*t^6.64 + t^6.7 - 2*t^6.98 + 9*t^7.04 + 4*t^7.1 + 2*t^7.16 + 18*t^7.44 + 5*t^7.5 + 4*t^7.56 + 3*t^7.62 + 9*t^7.96 + 8*t^8.02 + 2*t^8.08 + 3*t^8.2 + t^8.32 + 2*t^8.42 - 18*t^8.48 - 5*t^8.54 + 8*t^8.6 + 3*t^8.66 + 4*t^8.72 + t^8.78 + 14*t^8.94 - t^4.5/y - t^6.58/y - (2*t^6.98)/y + (4*t^7.56)/y + t^7.62/y + (6*t^7.96)/y + (6*t^8.02)/y + t^8.08/y + t^8.42/y + (4*t^8.48)/y + (2*t^8.54)/y - t^8.66/y + (4*t^8.94)/y - t^4.5*y - t^6.58*y - 2*t^6.98*y + 4*t^7.56*y + t^7.62*y + 6*t^7.96*y + 6*t^8.02*y + t^8.08*y + t^8.42*y + 4*t^8.48*y + 2*t^8.54*y - t^8.66*y + 4*t^8.94*y | t^2.08/g2^2 + (2*t^2.48)/g1 + 2*g1*g2*t^2.48 + t^2.54/g2 + t^3. + g2*t^3.46 + t^3.98/g1 + g1*g2*t^3.98 + g1^2*t^4.04 + t^4.04/(g1^2*g2^2) + t^4.04/g2 + t^4.16/g2^4 + (2*t^4.56)/(g1*g2^2) + (2*g1*t^4.56)/g2 + t^4.62/g2^3 + (3*t^4.96)/g1^2 + 4*g2*t^4.96 + 3*g1^2*g2^2*t^4.96 + 2*g1*t^5.02 + (2*t^5.02)/(g1*g2) + (2*t^5.08)/g2^2 + (2*t^5.48)/g1 + 2*g1*g2*t^5.48 + (2*t^5.54)/g2 + (g2*t^5.94)/g1 + g1*g2^2*t^5.94 - 2*t^6. - t^6./(g1^2*g2) - g1^2*g2*t^6. + t^6.12/(g1^2*g2^4) + t^6.12/g2^3 + (g1^2*t^6.12)/g2^2 + t^6.24/g2^6 + (2*t^6.46)/g1^2 + 3*g2*t^6.46 + 2*g1^2*g2^2*t^6.46 + 3*g1*t^6.52 + (2*t^6.52)/(g1^3*g2^2) + (3*t^6.52)/(g1*g2) + 2*g1^3*g2*t^6.52 + t^6.58/(g1^2*g2^3) + t^6.58/g2^2 + (g1^2*t^6.58)/g2 + (2*t^6.64)/(g1*g2^4) + (2*g1*t^6.64)/g2^3 + t^6.7/g2^5 - t^6.98/g1 - g1*g2*t^6.98 + 3*g1^2*t^7.04 + (3*t^7.04)/(g1^2*g2^2) + (3*t^7.04)/g2 + (2*t^7.1)/(g1*g2^3) + (2*g1*t^7.1)/g2^2 + (2*t^7.16)/g2^4 + (4*t^7.44)/g1^3 + (5*g2*t^7.44)/g1 + 5*g1*g2^2*t^7.44 + 4*g1^3*g2^3*t^7.44 + t^7.5 + (2*t^7.5)/(g1^2*g2) + 2*g1^2*g2*t^7.5 + (2*t^7.56)/(g1*g2^2) + (2*g1*t^7.56)/g2 + (3*t^7.62)/g2^3 + (3*t^7.96)/g1^2 + 3*g2*t^7.96 + 3*g1^2*g2^2*t^7.96 + 3*g1*t^8.02 + t^8.02/(g1^3*g2^2) + (3*t^8.02)/(g1*g2) + g1^3*g2*t^8.02 + g1^4*t^8.08 + t^8.08/(g1^4*g2^4) + t^8.2/(g1^2*g2^6) + t^8.2/g2^5 + (g1^2*t^8.2)/g2^4 + t^8.32/g2^8 + (g2*t^8.42)/g1^2 + g1^2*g2^3*t^8.42 - (7*t^8.48)/g1 - (2*t^8.48)/(g1^3*g2) - 7*g1*g2*t^8.48 - 2*g1^3*g2^2*t^8.48 - g1^2*t^8.54 - t^8.54/(g1^2*g2^2) - (3*t^8.54)/g2 + (2*t^8.6)/(g1^3*g2^4) + (2*t^8.6)/(g1*g2^3) + (2*g1*t^8.6)/g2^2 + (2*g1^3*t^8.6)/g2 + t^8.66/(g1^2*g2^5) + t^8.66/g2^4 + (g1^2*t^8.66)/g2^3 + (2*t^8.72)/(g1*g2^6) + (2*g1*t^8.72)/g2^5 + t^8.78/g2^7 + (3*t^8.94)/g1^3 + (4*g2*t^8.94)/g1 + 4*g1*g2^2*t^8.94 + 3*g1^3*g2^3*t^8.94 - t^4.5/y - t^6.58/(g2^2*y) - t^6.98/(g1*y) - (g1*g2*t^6.98)/y + (2*t^7.56)/(g1*g2^2*y) + (2*g1*t^7.56)/(g2*y) + t^7.62/(g2^3*y) + t^7.96/(g1^2*y) + (4*g2*t^7.96)/y + (g1^2*g2^2*t^7.96)/y + (3*g1*t^8.02)/y + (3*t^8.02)/(g1*g2*y) + t^8.08/(g2^2*y) + (g2^2*t^8.42)/y + (2*t^8.48)/(g1*y) + (2*g1*g2*t^8.48)/y + (2*t^8.54)/(g2*y) - t^8.66/(g2^4*y) + (2*g2*t^8.94)/(g1*y) + (2*g1*g2^2*t^8.94)/y - t^4.5*y - (t^6.58*y)/g2^2 - (t^6.98*y)/g1 - g1*g2*t^6.98*y + (2*t^7.56*y)/(g1*g2^2) + (2*g1*t^7.56*y)/g2 + (t^7.62*y)/g2^3 + (t^7.96*y)/g1^2 + 4*g2*t^7.96*y + g1^2*g2^2*t^7.96*y + 3*g1*t^8.02*y + (3*t^8.02*y)/(g1*g2) + (t^8.08*y)/g2^2 + g2^2*t^8.42*y + (2*t^8.48*y)/g1 + 2*g1*g2*t^8.48*y + (2*t^8.54*y)/g2 - (t^8.66*y)/g2^4 + (2*g2*t^8.94*y)/g1 + 2*g1*g2^2*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 46183 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ \phi_1^4$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6997 | 0.9172 | 0.7628 | [X:[], M:[0.8275, 0.8261, 0.6927, 0.6725], q:[0.75, 0.4225], qb:[0.4239, 0.4036], phi:[0.5]] | t^2.02 + t^2.08 + 4*t^2.48 + t^2.54 + t^3. + t^3.46 + t^3.98 + 2*t^4.03 + 2*t^4.04 + t^4.1 + t^4.16 + 4*t^4.5 + 5*t^4.56 + t^4.62 + 7*t^4.96 + 3*t^4.97 + 5*t^5.02 + 2*t^5.08 + 5*t^5.48 + 2*t^5.54 + 2*t^5.94 - 3*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45917 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ \phi_1^4$ | 0.6583 | 0.8368 | 0.7867 | [X:[], M:[0.8221, 0.8221], q:[0.75, 0.4279], qb:[0.4279, 0.3942], phi:[0.5]] | 4*t^2.47 + t^2.57 + t^3. + t^3.43 + t^3.87 + 2*t^3.97 + 3*t^4.07 + 10*t^4.93 + 4*t^5.03 + t^5.13 + 4*t^5.47 + t^5.57 + 2*t^5.9 - 4*t^6. - t^4.5/y - t^4.5*y | detail |