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 |
---|---|---|---|---|---|---|---|---|---|
45138 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^2q_2$ | 1.7678 | 1.8652 | 0.9477 | [X:[1.3304], M:[0.8899, 1.1188, 0.7754], q:[0.4406, 0.5551], qb:[], phi:[0.3348]] | [X:[[6]], M:[[-2], [-16], [5]], q:[[8], [1]], qb:[], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_1$, $ q_1q_2$, $ q_2^2$, $ M_2$, $ \phi_1q_1q_2$, $ X_1$, $ \phi_1^4$, $ M_3^2$, $ \phi_1^2q_1^2$, $ M_1M_3$, $ \phi_1^2q_1q_2$, $ M_3q_1q_2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_3q_2^2$, $ M_2M_3$, $ q_1^2q_2^2$ | $\phi_1^3q_1q_2$ | 0 | t^2.33 + t^2.67 + t^2.99 + t^3.33 + t^3.36 + 2*t^3.99 + t^4.02 + 2*t^4.65 + 2*t^5. + t^5.31 + 2*t^5.34 + t^5.66 + t^5.68 + t^5.97 + t^6.03 + 3*t^6.32 + 2*t^6.66 + t^6.69 + t^6.71 + 4*t^6.98 + 5*t^7.32 + 2*t^7.35 + t^7.37 + 2*t^7.64 + 2*t^7.67 + 5*t^7.98 + 5*t^8.01 + t^8.03 + t^8.3 + t^8.33 + t^8.35 + 4*t^8.64 + 2*t^8.7 + t^8.96 + 2*t^8.99 - t^4./y - t^5.33/y - t^5.67/y - t^6.01/y - t^6.33/y - t^6.67/y - t^6.99/y - t^7.33/y - t^7.36/y - t^7.65/y - (2*t^8.)/y - t^8.02/y - t^8.34/y - t^8.66/y - t^4.*y - t^5.33*y - t^5.67*y - t^6.01*y - t^6.33*y - t^6.67*y - t^6.99*y - t^7.33*y - t^7.36*y - t^7.65*y - 2*t^8.*y - t^8.02*y - t^8.34*y - t^8.66*y | g1^5*t^2.33 + t^2.67/g1^2 + g1^9*t^2.99 + g1^2*t^3.33 + t^3.36/g1^16 + 2*g1^6*t^3.99 + t^4.02/g1^12 + 2*g1^10*t^4.65 + 2*g1^3*t^5. + g1^14*t^5.31 + (2*t^5.34)/g1^4 + g1^7*t^5.66 + t^5.68/g1^11 + g1^18*t^5.97 + t^6.03/g1^18 + 3*g1^11*t^6.32 + 2*g1^4*t^6.66 + t^6.69/g1^14 + t^6.71/g1^32 + 4*g1^15*t^6.98 + 5*g1^8*t^7.32 + (2*t^7.35)/g1^10 + t^7.37/g1^28 + 2*g1^19*t^7.64 + 2*g1*t^7.67 + 5*g1^12*t^7.98 + (5*t^8.01)/g1^6 + t^8.03/g1^24 + g1^23*t^8.3 + g1^5*t^8.33 + t^8.35/g1^13 + 4*g1^16*t^8.64 + (2*t^8.7)/g1^20 + g1^27*t^8.96 + 2*g1^9*t^8.99 - t^4./(g1^3*y) - (g1^5*t^5.33)/y - t^5.67/(g1^2*y) - t^6.01/(g1^9*y) - (g1^2*t^6.33)/y - t^6.67/(g1^5*y) - (g1^6*t^6.99)/y - t^7.33/(g1*y) - t^7.36/(g1^19*y) - (g1^10*t^7.65)/y - (2*g1^3*t^8.)/y - t^8.02/(g1^15*y) - t^8.34/(g1^4*y) - (g1^7*t^8.66)/y - (t^4.*y)/g1^3 - g1^5*t^5.33*y - (t^5.67*y)/g1^2 - (t^6.01*y)/g1^9 - g1^2*t^6.33*y - (t^6.67*y)/g1^5 - g1^6*t^6.99*y - (t^7.33*y)/g1 - (t^7.36*y)/g1^19 - g1^10*t^7.65*y - 2*g1^3*t^8.*y - (t^8.02*y)/g1^15 - (t^8.34*y)/g1^4 - g1^7*t^8.66*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 |
---|---|---|---|---|---|---|---|---|
45328 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^2q_2$ + $ M_1M_4$ | 1.7579 | 1.8488 | 0.9508 | [X:[1.3275], M:[0.8908, 1.1266, 0.7729, 1.1092], q:[0.4367, 0.5546], qb:[], phi:[0.3362]] | t^2.32 + t^2.97 + 2*t^3.33 + t^3.38 + 2*t^3.98 + t^4.03 + 2*t^4.64 + t^4.99 + t^5.29 + t^5.34 + t^5.65 + t^5.7 + t^5.95 - t^6. - t^4.01/y - t^5.32/y - t^5.67/y - t^4.01*y - t^5.32*y - t^5.67*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 |
---|---|---|---|---|---|---|---|---|---|
45073 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ | 1.75 | 1.8333 | 0.9546 | [X:[1.335], M:[0.8883, 1.1067], q:[0.4467, 0.5558], qb:[], phi:[0.3325]] | t^2.67 + t^3.01 + t^3.32 + t^3.33 + t^3.66 + t^3.99 + 2*t^4. + t^4.67 + t^5. + 2*t^5.33 + t^5.99 - t^4./y - t^5.34/y - t^5.67/y - t^5.99/y - t^4.*y - t^5.34*y - t^5.67*y - t^5.99*y | detail |