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 |
---|---|---|---|---|---|---|---|---|---|
8217 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1q_2$ | 1.147 | 1.2566 | 0.9127 | [X:[1.6328], M:[1.2655, 0.9181], q:[0.4492, 0.4492], qb:[], phi:[0.1836]] | [X:[[0, 2]], M:[[0, 4], [0, -5]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_1q_2$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ X_1$, $ q_1^2q_2^2$, $ M_2q_1q_2$, $ M_2^2$, $ \phi_1q_1q_2^3$, $ \phi_1q_1^3q_2$ | . | -2 | t^2.69 + t^2.75 + 2*t^3.25 + 2*t^3.8 + 3*t^4.35 + t^4.9 + t^5.39 + t^5.45 + t^5.51 + 2*t^5.94 - 2*t^6. + 5*t^6.49 - t^6.55 + 7*t^7.04 + 9*t^7.59 - 2*t^7.65 + t^8.08 + 6*t^8.14 + 2*t^8.2 + t^8.26 + 2*t^8.64 + 4*t^8.69 - t^8.75 + t^8.2/y^2 - t^3.55/y - t^4.65/y - t^6.25/y - t^6.31/y - (2*t^6.8)/y - (2*t^7.35)/y - t^7.41/y - (2*t^7.9)/y + t^8.94/y - t^3.55*y - t^4.65*y - t^6.25*y - t^6.31*y - 2*t^6.8*y - 2*t^7.35*y - t^7.41*y - 2*t^7.9*y + t^8.94*y + t^8.2*y^2 | g2^6*t^2.69 + t^2.75/g2^5 + (g1^2*t^3.25)/g2 + (g2^11*t^3.25)/g1^2 + 2*g2^4*t^3.8 + (g1^2*t^4.35)/g2^3 + g2^3*t^4.35 + (g2^9*t^4.35)/g1^2 + g2^2*t^4.9 + g2^12*t^5.39 + g2*t^5.45 + t^5.51/g2^10 + g1^2*g2^5*t^5.94 + (g2^17*t^5.94)/g1^2 - 2*t^6. + (g1^4*t^6.49)/g2^2 + 3*g2^10*t^6.49 + (g2^22*t^6.49)/g1^4 - (g1^2*t^6.55)/g2^7 + t^6.55/g2 - (g2^5*t^6.55)/g1^2 + 3*g1^2*g2^3*t^7.04 + g2^9*t^7.04 + (3*g2^15*t^7.04)/g1^2 + (g1^4*t^7.59)/g2^4 + g1^2*g2^2*t^7.59 + 5*g2^8*t^7.59 + (g2^14*t^7.59)/g1^2 + (g2^20*t^7.59)/g1^4 - (g1^2*t^7.65)/g2^9 - (g2^3*t^7.65)/g1^2 + g2^18*t^8.08 + 2*g1^2*g2*t^8.14 + 2*g2^7*t^8.14 + (2*g2^13*t^8.14)/g1^2 + (2*t^8.2)/g2^4 + t^8.26/g2^15 + g1^2*g2^11*t^8.64 + (g2^23*t^8.64)/g1^2 + g1^2*t^8.69 + (g1^4*t^8.69)/g2^6 + (g2^12*t^8.69)/g1^2 + (g2^18*t^8.69)/g1^4 - t^8.75/g2^5 + t^8.2/(g2^4*y^2) - t^3.55/(g2*y) - t^4.65/(g2^3*y) - (g2^5*t^6.25)/y - t^6.31/(g2^6*y) - (g1^2*t^6.8)/(g2^2*y) - (g2^10*t^6.8)/(g1^2*y) - (2*g2^3*t^7.35)/y - t^7.41/(g2^8*y) - (g1^2*t^7.9)/(g2^4*y) - (g2^8*t^7.9)/(g1^2*y) + (g1^2*g2^5*t^8.94)/y - (g2^11*t^8.94)/y + (g2^17*t^8.94)/(g1^2*y) - (t^3.55*y)/g2 - (t^4.65*y)/g2^3 - g2^5*t^6.25*y - (t^6.31*y)/g2^6 - (g1^2*t^6.8*y)/g2^2 - (g2^10*t^6.8*y)/g1^2 - 2*g2^3*t^7.35*y - (t^7.41*y)/g2^8 - (g1^2*t^7.9*y)/g2^4 - (g2^8*t^7.9*y)/g1^2 + g1^2*g2^5*t^8.94*y - g2^11*t^8.94*y + (g2^17*t^8.94*y)/g1^2 + (t^8.2*y^2)/g2^4 |
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 |
---|---|---|---|---|---|---|---|---|
8427 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1q_1^2$ | 1.1575 | 1.2715 | 0.9103 | [X:[1.6434], M:[1.2868, 0.8915, 0.8501], q:[0.4858, 0.4444], qb:[], phi:[0.1783]] | t^2.55 + t^2.67 + t^2.79 + t^3.2 + 2*t^3.86 + t^4.27 + t^4.4 + t^4.52 + t^4.93 + t^5.1 + t^5.22 + t^5.34 + t^5.35 + t^5.47 + t^5.58 + t^5.75 + t^5.99 - 2*t^6. - t^3.53/y - t^4.6/y - t^3.53*y - t^4.6*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 |
---|---|---|---|---|---|---|---|---|---|
8188 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ | 1.1408 | 1.2531 | 0.9104 | [X:[1.6203], M:[1.2406], q:[0.4305, 0.4305], qb:[], phi:[0.1898]] | t^2.58 + 3*t^3.15 + 2*t^3.72 + 3*t^4.29 + t^4.86 + t^5.17 + 3*t^5.74 - 4*t^6. - t^3.57/y - t^4.71/y - t^3.57*y - t^4.71*y | detail |