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 |
---|---|---|---|---|---|---|---|---|---|
8601 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1q_2$ + $ M_4\phi_1q_1^2$ | 1.1945 | 1.3418 | 0.8902 | [X:[1.6596], M:[1.0212, 0.851, 0.6808, 0.8136], q:[0.5081, 0.4707], qb:[], phi:[0.1702]] | [X:[[0, 2]], M:[[0, -6], [0, -5], [0, -4], [2, -11]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ \phi_1^4$, $ M_4$, $ M_2$, $ M_1$, $ \phi_1q_2^2$, $ M_3^2$, $ M_3\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ M_3M_4$, $ M_4\phi_1^4$, $ \phi_1^3q_1^2$, $ M_2M_3$, $ M_2\phi_1^4$, $ M_4^2$, $ X_1$, $ M_2M_4$, $ M_2^2$, $ M_1M_3$, $ M_1\phi_1^4$, $ M_3\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ M_1M_4$, $ M_1M_2$, $ M_4\phi_1q_2^2$ | . | -2 | 2*t^2.04 + t^2.44 + t^2.55 + t^3.06 + t^3.33 + 3*t^4.08 + t^4.36 + t^4.47 + 2*t^4.48 + t^4.58 + 2*t^4.6 + t^4.88 + t^4.98 + t^4.99 + 3*t^5.11 + 2*t^5.38 + t^5.5 + t^5.62 + t^5.78 - 2*t^6. - t^6.11 + 5*t^6.13 + 2*t^6.4 + t^6.51 + 3*t^6.53 + t^6.62 + 3*t^6.64 + t^6.67 + t^6.8 + t^6.91 + 2*t^6.92 + 3*t^7.02 + 2*t^7.04 + 5*t^7.15 + t^7.32 + 4*t^7.42 + t^7.43 + t^7.53 + 3*t^7.55 + 3*t^7.66 + t^7.69 + t^7.8 + 2*t^7.82 + t^7.95 - 2*t^8.04 + t^8.06 - 2*t^8.15 + 8*t^8.17 + t^8.22 - t^8.43 + t^8.44 - t^8.54 - 5*t^8.55 + 5*t^8.57 + 5*t^8.68 + 3*t^8.71 + t^8.82 + 2*t^8.84 - t^8.95 + 3*t^8.97 + t^8.04/y^2 - (2*t^8.55)/y^2 - t^8.95/y^2 - t^3.51/y - t^4.53/y - (2*t^5.55)/y - t^5.95/y - t^6.06/y - (3*t^6.57)/y - t^6.85/y - t^6.97/y + t^7.47/y + (2*t^7.48)/y - (2*t^7.6)/y - t^7.87/y - t^7.99/y + (2*t^8.38)/y - t^8.39/y + t^8.49/y - (5*t^8.62)/y + t^8.78/y - t^8.89/y - t^3.51*y - t^4.53*y - 2*t^5.55*y - t^5.95*y - t^6.06*y - 3*t^6.57*y - t^6.85*y - t^6.97*y + t^7.47*y + 2*t^7.48*y - 2*t^7.6*y - t^7.87*y - t^7.99*y + 2*t^8.38*y - t^8.39*y + t^8.49*y - 5*t^8.62*y + t^8.78*y - t^8.89*y + t^8.04*y^2 - 2*t^8.55*y^2 - t^8.95*y^2 | (2*t^2.04)/g2^4 + (g1^2*t^2.44)/g2^11 + t^2.55/g2^5 + t^3.06/g2^6 + (g1^2*t^3.33)/g2 + (3*t^4.08)/g2^8 + (g1^2*t^4.36)/g2^3 + g2^3*t^4.47 + (2*g1^2*t^4.48)/g2^15 + (g2^9*t^4.58)/g1^2 + (2*t^4.6)/g2^9 + (g1^4*t^4.88)/g2^22 + g2^2*t^4.98 + (g1^2*t^4.99)/g2^16 + (3*t^5.11)/g2^10 + (2*g1^2*t^5.38)/g2^5 + (g1^2*t^5.5)/g2^17 + t^5.62/g2^11 + (g1^4*t^5.78)/g2^12 - 2*t^6. - (g2^6*t^6.11)/g1^2 + (5*t^6.13)/g2^12 + (2*g1^2*t^6.4)/g2^7 + t^6.51/g2 + (3*g1^2*t^6.53)/g2^19 + (g2^5*t^6.62)/g1^2 + (3*t^6.64)/g2^13 + (g1^4*t^6.67)/g2^2 + (g1^4*t^6.8)/g2^14 + (g1^2*t^6.91)/g2^8 + (2*g1^4*t^6.92)/g2^26 + (3*t^7.02)/g2^2 + (2*g1^2*t^7.04)/g2^20 + (5*t^7.15)/g2^14 + (g1^6*t^7.32)/g2^33 + (4*g1^2*t^7.42)/g2^9 + (g1^4*t^7.43)/g2^27 + t^7.53/g2^3 + (3*g1^2*t^7.55)/g2^21 + (3*t^7.66)/g2^15 + (g1^4*t^7.69)/g2^4 + g1^2*g2^2*t^7.8 + (2*g1^4*t^7.82)/g2^16 + (g1^4*t^7.95)/g2^28 - (2*t^8.04)/g2^4 + (g1^2*t^8.06)/g2^22 - (2*g2^2*t^8.15)/g1^2 + (8*t^8.17)/g2^16 + (g1^6*t^8.22)/g2^23 - g2^7*t^8.43 + (g1^2*t^8.44)/g2^11 - (g2^13*t^8.54)/g1^2 - (5*t^8.55)/g2^5 + (5*g1^2*t^8.57)/g2^23 + (5*t^8.68)/g2^17 + (3*g1^4*t^8.71)/g2^6 + g1^2*t^8.82 + (2*g1^4*t^8.84)/g2^18 - (g1^2*t^8.95)/g2^12 + (3*g1^4*t^8.97)/g2^30 + t^8.04/(g2^4*y^2) - (2*t^8.55)/(g2^5*y^2) - (g1^2*t^8.95)/(g2^12*y^2) - t^3.51/(g2*y) - t^4.53/(g2^3*y) - (2*t^5.55)/(g2^5*y) - (g1^2*t^5.95)/(g2^12*y) - t^6.06/(g2^6*y) - (3*t^6.57)/(g2^7*y) - (g1^2*t^6.85)/(g2^2*y) - (g1^2*t^6.97)/(g2^14*y) + (g2^3*t^7.47)/y + (2*g1^2*t^7.48)/(g2^15*y) - (2*t^7.6)/(g2^9*y) - (g1^2*t^7.87)/(g2^4*y) - (g1^2*t^7.99)/(g2^16*y) + (2*g1^2*t^8.38)/(g2^5*y) - (g1^4*t^8.39)/(g2^23*y) + (g2*t^8.49)/y - (5*t^8.62)/(g2^11*y) + (g1^4*t^8.78)/(g2^12*y) - (g1^2*t^8.89)/(g2^6*y) - (t^3.51*y)/g2 - (t^4.53*y)/g2^3 - (2*t^5.55*y)/g2^5 - (g1^2*t^5.95*y)/g2^12 - (t^6.06*y)/g2^6 - (3*t^6.57*y)/g2^7 - (g1^2*t^6.85*y)/g2^2 - (g1^2*t^6.97*y)/g2^14 + g2^3*t^7.47*y + (2*g1^2*t^7.48*y)/g2^15 - (2*t^7.6*y)/g2^9 - (g1^2*t^7.87*y)/g2^4 - (g1^2*t^7.99*y)/g2^16 + (2*g1^2*t^8.38*y)/g2^5 - (g1^4*t^8.39*y)/g2^23 + g2*t^8.49*y - (5*t^8.62*y)/g2^11 + (g1^4*t^8.78*y)/g2^12 - (g1^2*t^8.89*y)/g2^6 + (t^8.04*y^2)/g2^4 - (2*t^8.55*y^2)/g2^5 - (g1^2*t^8.95*y^2)/g2^12 |
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 |
---|---|---|---|---|---|---|---|---|
8793 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1q_2$ + $ M_4\phi_1q_1^2$ + $ M_4^2$ | 1.1707 | 1.3072 | 0.8956 | [X:[1.6337], M:[1.0988, 0.9157, 0.7326, 1.0], q:[0.4084, 0.4927], qb:[], phi:[0.1831]] | 2*t^2.2 + t^2.75 + t^3. + t^3.3 + t^3.51 + t^4.1 + t^4.35 + 3*t^4.4 + t^4.6 + t^4.9 + 2*t^4.94 + 2*t^5.2 + 3*t^5.49 + 2*t^5.7 - t^6. - t^3.55/y - t^4.65/y - (2*t^5.75)/y - t^3.55*y - t^4.65*y - 2*t^5.75*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
8449 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1q_2$ | 1.1807 | 1.3166 | 0.8968 | [X:[1.6518], M:[1.0446, 0.8705, 0.6964], q:[0.4777, 0.4777], qb:[], phi:[0.1741]] | 2*t^2.09 + t^2.61 + t^3.13 + 2*t^3.39 + 3*t^4.18 + 3*t^4.43 + 2*t^4.7 + t^4.96 + 3*t^5.22 + 4*t^5.48 + t^5.75 - 2*t^6. - t^3.52/y - t^4.57/y - (2*t^5.61)/y - t^3.52*y - t^4.57*y - 2*t^5.61*y | detail |