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 |
|---|---|---|---|---|---|---|---|---|---|
| 8366 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ | 1.1588 | 1.2776 | 0.907 | [X:[1.6399], M:[0.9003, 1.0804], q:[0.4502, 0.4694], qb:[], phi:[0.1801]] | [X:[[4]], M:[[-10], [-12]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_1$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ M_1\phi_1^4$, $ X_1$, $ M_1^2$, $ M_2\phi_1^4$, $ \phi_1^5q_1^2$, $ \phi_1^5q_2^2$, $ M_1M_2$, $ M_1\phi_1q_1^2$ | $\phi_1^6q_1q_2$ | -1 | t^2.16 + t^2.7 + 2*t^3.24 + t^3.36 + t^3.84 + 2*t^4.32 + t^4.38 + t^4.44 + t^4.86 + t^4.92 + 3*t^5.4 + t^5.52 + t^5.94 - t^6. + 4*t^6.48 + t^6.54 + 2*t^6.6 + t^6.71 + t^7.02 + 3*t^7.08 + t^7.2 + 4*t^7.56 + 2*t^7.62 + 3*t^7.68 + t^7.74 + t^7.79 + 2*t^8.1 + 2*t^8.16 + t^8.28 + 6*t^8.64 - t^8.7 + 3*t^8.76 + t^8.82 + 2*t^8.87 + t^8.16/y^2 - t^8.7/y^2 - t^3.54/y - t^4.62/y - t^5.7/y - t^6.24/y - (3*t^6.78)/y - t^6.9/y - t^7.32/y - (2*t^7.86)/y - t^7.98/y + t^8.4/y + t^8.52/y - (2*t^8.94)/y - t^3.54*y - t^4.62*y - t^5.7*y - t^6.24*y - 3*t^6.78*y - t^6.9*y - t^7.32*y - 2*t^7.86*y - t^7.98*y + t^8.4*y + t^8.52*y - 2*t^8.94*y + t^8.16*y^2 - t^8.7*y^2 | t^2.16/g1^8 + t^2.7/g1^10 + (2*t^3.24)/g1^12 + g1^32*t^3.36 + g1^8*t^3.84 + (2*t^4.32)/g1^16 + g1^6*t^4.38 + g1^28*t^4.44 + t^4.86/g1^18 + g1^4*t^4.92 + (3*t^5.4)/g1^20 + g1^24*t^5.52 + t^5.94/g1^22 - t^6. + (4*t^6.48)/g1^24 + t^6.54/g1^2 + 2*g1^20*t^6.6 + g1^64*t^6.71 + t^7.02/g1^26 + (3*t^7.08)/g1^4 + g1^40*t^7.2 + (4*t^7.56)/g1^28 + (2*t^7.62)/g1^6 + 3*g1^16*t^7.68 + g1^38*t^7.74 + g1^60*t^7.79 + (2*t^8.1)/g1^30 + (2*t^8.16)/g1^8 + g1^36*t^8.28 + (6*t^8.64)/g1^32 - t^8.7/g1^10 + 3*g1^12*t^8.76 + g1^34*t^8.82 + 2*g1^56*t^8.87 + t^8.16/(g1^8*y^2) - t^8.7/(g1^10*y^2) - t^3.54/(g1^2*y) - t^4.62/(g1^6*y) - t^5.7/(g1^10*y) - t^6.24/(g1^12*y) - (3*t^6.78)/(g1^14*y) - (g1^30*t^6.9)/y - t^7.32/(g1^16*y) - (2*t^7.86)/(g1^18*y) - (g1^26*t^7.98)/y + t^8.4/(g1^20*y) + (g1^24*t^8.52)/y - (2*t^8.94)/(g1^22*y) - (t^3.54*y)/g1^2 - (t^4.62*y)/g1^6 - (t^5.7*y)/g1^10 - (t^6.24*y)/g1^12 - (3*t^6.78*y)/g1^14 - g1^30*t^6.9*y - (t^7.32*y)/g1^16 - (2*t^7.86*y)/g1^18 - g1^26*t^7.98*y + (t^8.4*y)/g1^20 + g1^24*t^8.52*y - (2*t^8.94*y)/g1^22 + (t^8.16*y^2)/g1^8 - (t^8.7*y^2)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8514 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ + $ M_3\phi_1^2q_1q_2$ | 1.1789 | 1.3152 | 0.8964 | [X:[1.6406], M:[0.8985, 1.0782, 0.7188], q:[0.4492, 0.4726], qb:[], phi:[0.1797]] | 2*t^2.16 + t^2.7 + 2*t^3.23 + t^3.37 + 4*t^4.31 + t^4.38 + t^4.45 + 2*t^4.85 + t^4.92 + 5*t^5.39 + 2*t^5.53 + t^5.93 - 2*t^6. - t^3.54/y - t^4.62/y - (2*t^5.7)/y - t^3.54*y - t^4.62*y - 2*t^5.7*y | detail | |
| 8504 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2q_1q_2$ + $ \phi_1^3q_2^2$ + $ \phi_1^4X_2$ | 0.9692 | 1.0496 | 0.9234 | [X:[1.7143, 1.4286], M:[0.7143, 0.8571], q:[0.3571, 0.7857], qb:[], phi:[0.1429]] | t^2.14 + 2*t^2.57 + t^3.43 + 3*t^4.29 + 2*t^4.71 + 4*t^5.14 - t^3.43/y - t^4.29/y - t^5.57/y - (2*t^6.)/y - t^3.43*y - t^4.29*y - t^5.57*y - 2*t^6.*y | detail | {a: 5319/5488, c: 360/343, X1: 12/7, X2: 10/7, M1: 5/7, M2: 6/7, q1: 5/14, q2: 11/14, phi1: 1/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8197 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ | 1.1667 | 1.2917 | 0.9032 | [X:[1.6363], M:[0.9092], q:[0.4546, 0.4544], qb:[], phi:[0.1818]] | t^2.18 + 2*t^2.73 + 2*t^3.27 + t^3.82 + 4*t^4.36 + 3*t^4.91 + 3*t^5.45 + 2*t^5.46 + t^6. - t^3.55/y - t^4.64/y - t^5.73/y - t^3.55*y - t^4.64*y - t^5.73*y | detail |