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 |
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56184 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}q_{2}\tilde{q}_{1}$ | 0.6429 | 0.8033 | 0.8003 | [M:[1.1444, 0.7166, 0.8556, 0.8093, 1.2371, 0.7166, 1.1907, 0.6702], q:[0.4046, 0.451], qb:[0.8788, 0.7397], phi:[0.3815]] | [M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [2, 2], [-11, -13], [6, 8], [-7, -7]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{8}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{2}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{8}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{8}\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{5}$ | ${}$ | -2 | t^2.011 + 2*t^2.15 + t^2.567 + t^3.433 + 2*t^3.572 + 2*t^3.711 + t^4.021 + 2*t^4.16 + 3*t^4.299 + t^4.578 + 2*t^4.717 + t^4.856 + t^5.134 + t^5.444 + 4*t^5.583 + 5*t^5.722 + 2*t^5.861 - 2*t^6. + t^6.032 + 2*t^6.171 + t^6.278 + 3*t^6.31 + 4*t^6.449 + t^6.588 + 2*t^6.727 + 4*t^6.866 + 2*t^7.005 + 3*t^7.144 + 2*t^7.283 + t^7.454 - 2*t^7.562 + 4*t^7.594 + 8*t^7.733 + 6*t^7.872 + t^8.043 - 4*t^8.15 + 2*t^8.182 + t^8.289 + 3*t^8.321 + 4*t^8.46 - 2*t^8.567 + 6*t^8.599 - 2*t^8.706 + 2*t^8.738 + 4*t^8.877 - t^4.144/y - t^6.155/y - (2*t^6.294)/y + (2*t^7.16)/y + t^7.299/y + t^7.578/y + (2*t^7.717)/y + (2*t^7.995)/y + t^8.134/y - t^8.166/y - (2*t^8.305)/y - (2*t^8.444)/y + (4*t^8.583)/y + (6*t^8.722)/y + (4*t^8.861)/y - t^4.144*y - t^6.155*y - 2*t^6.294*y + 2*t^7.16*y + t^7.299*y + t^7.578*y + 2*t^7.717*y + 2*t^7.995*y + t^8.134*y - t^8.166*y - 2*t^8.305*y - 2*t^8.444*y + 4*t^8.583*y + 6*t^8.722*y + 4*t^8.861*y | t^2.011/(g1^7*g2^7) + t^2.15/(g1^11*g2^13) + g1^2*g2^4*t^2.15 + g1^3*g2^3*t^2.567 + t^3.433/(g1^3*g2^3) + t^3.572/(g1^7*g2^9) + g1^6*g2^8*t^3.572 + 2*g1^2*g2^2*t^3.711 + t^4.021/(g1^14*g2^14) + t^4.16/(g1^18*g2^20) + t^4.16/(g1^5*g2^3) + t^4.299/(g1^22*g2^26) + t^4.299/(g1^9*g2^9) + g1^4*g2^8*t^4.299 + t^4.578/(g1^4*g2^4) + t^4.717/(g1^8*g2^10) + g1^5*g2^7*t^4.717 + g1*g2*t^4.856 + g1^6*g2^6*t^5.134 + t^5.444/(g1^10*g2^10) + (2*t^5.583)/(g1^14*g2^16) + (2*g2*t^5.583)/g1 + t^5.722/(g1^18*g2^22) + (3*t^5.722)/(g1^5*g2^5) + g1^8*g2^12*t^5.722 + t^5.861/(g1^9*g2^11) + g1^4*g2^6*t^5.861 - 2*t^6. + t^6.032/(g1^21*g2^21) + t^6.171/(g1^25*g2^27) + t^6.171/(g1^12*g2^10) + g1^5*g2^5*t^6.278 + t^6.31/(g1^29*g2^33) + t^6.31/(g1^16*g2^16) + (g2*t^6.31)/g1^3 + t^6.449/(g1^33*g2^39) + t^6.449/(g1^20*g2^22) + t^6.449/(g1^7*g2^5) + g1^6*g2^12*t^6.449 + t^6.588/(g1^11*g2^11) + t^6.727/g1^2 + t^6.727/(g1^15*g2^17) + t^6.866/(g1^19*g2^23) + (2*t^6.866)/(g1^6*g2^6) + g1^7*g2^11*t^6.866 + t^7.005/(g1^10*g2^12) + g1^3*g2^5*t^7.005 + t^7.144/(g1^14*g2^18) + t^7.144/(g1*g2) + g1^12*g2^16*t^7.144 + t^7.283/(g1^5*g2^7) + g1^8*g2^10*t^7.283 + t^7.454/(g1^17*g2^17) - t^7.562/g2^2 - g1^13*g2^15*t^7.562 + (2*t^7.594)/(g1^21*g2^23) + (2*t^7.594)/(g1^8*g2^6) + (2*t^7.733)/(g1^25*g2^29) + (4*t^7.733)/(g1^12*g2^12) + 2*g1*g2^5*t^7.733 + t^7.872/(g1^29*g2^35) + (2*t^7.872)/(g1^16*g2^18) + (2*t^7.872)/(g1^3*g2) + g1^10*g2^16*t^7.872 + t^8.011/(g1^20*g2^24) - (2*t^8.011)/(g1^7*g2^7) + g1^6*g2^10*t^8.011 + t^8.043/(g1^28*g2^28) - (2*t^8.15)/(g1^11*g2^13) - 2*g1^2*g2^4*t^8.15 + t^8.182/(g1^32*g2^34) + t^8.182/(g1^19*g2^17) + t^8.289/(g1^2*g2^2) + t^8.321/(g1^36*g2^40) + t^8.321/(g1^23*g2^23) + t^8.321/(g1^10*g2^6) + t^8.46/(g1^40*g2^46) + t^8.46/(g1^27*g2^29) + t^8.46/(g1^14*g2^12) + (g2^5*t^8.46)/g1 - 2*g1^3*g2^3*t^8.567 + t^8.599/(g1^44*g2^52) + t^8.599/(g1^31*g2^35) + (2*t^8.599)/(g1^18*g2^18) + t^8.599/(g1^5*g2) + g1^8*g2^16*t^8.599 - t^8.706/(g1*g2^3) - g1^12*g2^14*t^8.706 + t^8.738/(g1^22*g2^24) + t^8.738/(g1^9*g2^7) + t^8.877/(g1^26*g2^30) + (2*t^8.877)/(g1^13*g2^13) + g2^4*t^8.877 - t^4.144/(g1*g2*y) - t^6.155/(g1^8*g2^8*y) - t^6.294/(g1^12*g2^14*y) - (g1*g2^3*t^6.294)/y + t^7.16/(g1^18*g2^20*y) + t^7.16/(g1^5*g2^3*y) + t^7.299/(g1^9*g2^9*y) + t^7.578/(g1^4*g2^4*y) + t^7.717/(g1^8*g2^10*y) + (g1^5*g2^7*t^7.717)/y + t^7.995/(g1^3*g2^5*y) + (g1^10*g2^12*t^7.995)/y + (g1^6*g2^6*t^8.134)/y - t^8.166/(g1^15*g2^15*y) - t^8.305/(g1^19*g2^21*y) - t^8.305/(g1^6*g2^4*y) - t^8.444/(g1^23*g2^27*y) - (g1^3*g2^7*t^8.444)/y + (2*t^8.583)/(g1^14*g2^16*y) + (2*g2*t^8.583)/(g1*y) + t^8.722/(g1^18*g2^22*y) + (4*t^8.722)/(g1^5*g2^5*y) + (g1^8*g2^12*t^8.722)/y + (2*t^8.861)/(g1^9*g2^11*y) + (2*g1^4*g2^6*t^8.861)/y - (t^4.144*y)/(g1*g2) - (t^6.155*y)/(g1^8*g2^8) - (t^6.294*y)/(g1^12*g2^14) - g1*g2^3*t^6.294*y + (t^7.16*y)/(g1^18*g2^20) + (t^7.16*y)/(g1^5*g2^3) + (t^7.299*y)/(g1^9*g2^9) + (t^7.578*y)/(g1^4*g2^4) + (t^7.717*y)/(g1^8*g2^10) + g1^5*g2^7*t^7.717*y + (t^7.995*y)/(g1^3*g2^5) + g1^10*g2^12*t^7.995*y + g1^6*g2^6*t^8.134*y - (t^8.166*y)/(g1^15*g2^15) - (t^8.305*y)/(g1^19*g2^21) - (t^8.305*y)/(g1^6*g2^4) - (t^8.444*y)/(g1^23*g2^27) - g1^3*g2^7*t^8.444*y + (2*t^8.583*y)/(g1^14*g2^16) + (2*g2*t^8.583*y)/g1 + (t^8.722*y)/(g1^18*g2^22) + (4*t^8.722*y)/(g1^5*g2^5) + g1^8*g2^12*t^8.722*y + (2*t^8.861*y)/(g1^9*g2^11) + 2*g1^4*g2^6*t^8.861*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
50965 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{7}$ | 0.622 | 0.7618 | 0.8165 | [M:[1.1452, 0.7178, 0.8548, 0.8091, 1.2365, 0.7178, 1.1909], q:[0.4046, 0.4502], qb:[0.8777, 0.7406], phi:[0.3817]] | 2*t^2.153 + t^2.564 + t^3.436 + 2*t^3.573 + 2*t^3.71 + t^3.984 + 3*t^4.307 + 2*t^4.718 + t^4.855 + t^5.129 + 2*t^5.589 + 3*t^5.726 + 2*t^5.863 - 2*t^6. - t^4.145/y - t^4.145*y | detail |