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 |
---|---|---|---|---|---|---|---|---|---|
4220 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6907 | 0.8597 | 0.8034 | [M:[1.037, 1.1111, 0.963, 0.7407, 1.1111, 0.7407, 0.8148], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 24169/34992, c: 15041/17496, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, M5: 10/9, M6: 20/27, M7: 22/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$ | ${}$ | -2 | 2*t^2.222 + t^2.444 + t^2.889 + t^3.111 + 2*t^3.333 + 2*t^4. + 2*t^4.222 + 4*t^4.444 + 3*t^4.667 + t^4.889 + 2*t^5.111 + 3*t^5.333 + 4*t^5.556 + t^5.778 - 2*t^6. + 4*t^6.222 + 6*t^6.444 + 8*t^6.667 + 5*t^6.889 + 2*t^7.111 + 7*t^7.333 + 6*t^7.556 + 6*t^7.778 + 3*t^8. - 3*t^8.222 + 4*t^8.444 + 11*t^8.667 + 11*t^8.889 - t^4.333/y - (2*t^6.556)/y - t^6.778/y + t^7./y + t^7.444/y + t^7.667/y + t^7.889/y + (4*t^8.111)/y + (3*t^8.333)/y + (5*t^8.556)/y - t^8.778/y - t^4.333*y - 2*t^6.556*y - t^6.778*y + t^7.*y + t^7.444*y + t^7.667*y + t^7.889*y + 4*t^8.111*y + 3*t^8.333*y + 5*t^8.556*y - t^8.778*y | 2*t^2.222 + t^2.444 + t^2.889 + t^3.111 + 2*t^3.333 + 2*t^4. + 2*t^4.222 + 4*t^4.444 + 3*t^4.667 + t^4.889 + 2*t^5.111 + 3*t^5.333 + 4*t^5.556 + t^5.778 - 2*t^6. + 4*t^6.222 + 6*t^6.444 + 8*t^6.667 + 5*t^6.889 + 2*t^7.111 + 7*t^7.333 + 6*t^7.556 + 6*t^7.778 + 3*t^8. - 3*t^8.222 + 4*t^8.444 + 11*t^8.667 + 11*t^8.889 - t^4.333/y - (2*t^6.556)/y - t^6.778/y + t^7./y + t^7.444/y + t^7.667/y + t^7.889/y + (4*t^8.111)/y + (3*t^8.333)/y + (5*t^8.556)/y - t^8.778/y - t^4.333*y - 2*t^6.556*y - t^6.778*y + t^7.*y + t^7.444*y + t^7.667*y + t^7.889*y + 4*t^8.111*y + 3*t^8.333*y + 5*t^8.556*y - t^8.778*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 |
---|---|---|---|---|---|---|---|---|
5707 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{3}M_{8}$ | 0.6872 | 0.8539 | 0.8048 | [M:[1.037, 1.1111, 0.963, 0.7407, 1.1111, 0.7407, 0.8148, 1.037], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | 2*t^2.222 + t^2.444 + 2*t^3.111 + 2*t^3.333 + 2*t^4. + 2*t^4.222 + 4*t^4.444 + 3*t^4.667 + t^4.889 + 4*t^5.333 + 5*t^5.556 - 3*t^6. - t^4.333/y - t^4.333*y | detail | {a: 167/243, c: 415/486, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, M5: 10/9, M6: 20/27, M7: 22/27, M8: 28/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
2216 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6751 | 0.8325 | 0.8109 | [M:[1.037, 1.1111, 0.963, 0.7407, 1.1111, 0.7407], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | 2*t^2.222 + t^2.889 + t^3.111 + 2*t^3.333 + t^3.556 + 2*t^4. + 2*t^4.222 + 4*t^4.444 + t^4.667 + 2*t^5.111 + 2*t^5.333 + 3*t^5.556 + t^5.778 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 2953/4374, c: 7283/8748, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, M5: 10/9, M6: 20/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |