Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
2910	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6516	0.8578	0.7596	[M:[0.9665, 1.1006, 0.9665, 0.8994, 0.7338, 0.8165, 0.8009], q:[0.7416, 0.2919], qb:[0.4575, 0.4419], phi:[0.5168]]	[M:[[4, 4], [-12, -12], [4, 4], [12, 12], [-5, 7], [-1, -13], [-13, -1]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$	-2	2*t^2.201 + t^2.248 + t^2.403 + t^2.449 + t^2.698 + 2*t^2.899 + t^3.302 + t^3.752 + t^4.202 + t^4.248 + t^4.295 + 3*t^4.403 + 2*t^4.45 + t^4.496 + 2*t^4.604 + 3*t^4.651 + t^4.698 + t^4.806 + t^4.852 + t^4.899 + 2*t^4.9 + t^4.946 + 5*t^5.101 + 3*t^5.148 + 2*t^5.302 + 2*t^5.349 + t^5.396 + t^5.503 + 2*t^5.597 + t^5.705 + t^5.751 + 2*t^5.799 + t^5.953 - 2*t^6. - t^6.047 + t^6.155 + t^6.201 + 2*t^6.403 + 2*t^6.45 + t^6.497 + t^6.543 + 6*t^6.604 + 5*t^6.651 + 2*t^6.698 + 2*t^6.745 + 3*t^6.806 + 3*t^6.852 + t^6.899 + t^6.9 + 2*t^6.946 + t^6.993 + 2*t^7.007 + 3*t^7.054 + 2*t^7.1 + 4*t^7.101 + t^7.147 + 3*t^7.148 + 2*t^7.194 + t^7.208 + t^7.255 + 8*t^7.302 + t^7.348 + 4*t^7.349 + 2*t^7.396 + 5*t^7.504 + 4*t^7.55 + 2*t^7.597 + 2*t^7.598 + t^7.644 + 3*t^7.705 + t^7.752 + 2*t^7.798 + 4*t^7.799 + 2*t^7.846 + t^7.906 + 2*t^7.953 + 4*t^8. + 2*t^8.047 + t^8.094 + t^8.107 + t^8.154 + t^8.155 - 3*t^8.201 - 3*t^8.248 - t^8.295 + 2*t^8.296 + t^8.356 - 2*t^8.403 - 5*t^8.449 + t^8.45 - t^8.496 + 3*t^8.497 + t^8.544 + t^8.557 + t^8.59 + t^8.604 + 3*t^8.605 + 3*t^8.651 + t^8.792 + t^8.805 + 7*t^8.806 + 6*t^8.853 - 5*t^8.899 + 2*t^8.993 - t^4.55/y - t^6.752/y - t^6.953/y - t^7./y + t^7.403/y + t^7.45/y + (2*t^7.604)/y + (4*t^7.651)/y + t^7.698/y + t^7.852/y + (2*t^7.9)/y + t^7.946/y + (6*t^8.101)/y + (4*t^8.148)/y + (2*t^8.302)/y + (3*t^8.349)/y + (2*t^8.503)/y + t^8.55/y + (2*t^8.597)/y + t^8.705/y + t^8.751/y + t^8.799/y + t^8.953/y - t^4.55*y - t^6.752*y - t^6.953*y - t^7.*y + t^7.403*y + t^7.45*y + 2*t^7.604*y + 4*t^7.651*y + t^7.698*y + t^7.852*y + 2*t^7.9*y + t^7.946*y + 6*t^8.101*y + 4*t^8.148*y + 2*t^8.302*y + 3*t^8.349*y + 2*t^8.503*y + t^8.55*y + 2*t^8.597*y + t^8.705*y + t^8.751*y + t^8.799*y + t^8.953*y	(2*g2^7*t^2.201)/g1^5 + (g1^7*t^2.248)/g2^5 + t^2.403/(g1^13*g2) + t^2.449/(g1*g2^13) + g1^12*g2^12*t^2.698 + 2*g1^4*g2^4*t^2.899 + t^3.302/(g1^12*g2^12) + (g2^5*t^3.752)/g1^7 + (g2^22*t^4.202)/g1^2 + g1^10*g2^10*t^4.248 + (g1^22*t^4.295)/g2^2 + (3*g2^14*t^4.403)/g1^10 + 2*g1^2*g2^2*t^4.45 + (g1^14*t^4.496)/g2^10 + (2*g2^6*t^4.604)/g1^18 + (3*t^4.651)/(g1^6*g2^6) + (g1^6*t^4.698)/g2^18 + t^4.806/(g1^26*g2^2) + t^4.852/(g1^14*g2^14) + t^4.899/(g1^2*g2^26) + 2*g1^7*g2^19*t^4.9 + g1^19*g2^7*t^4.946 + (5*g2^11*t^5.101)/g1 + (3*g1^11*t^5.148)/g2 + (2*g2^3*t^5.302)/g1^9 + (2*g1^3*t^5.349)/g2^9 + g1^24*g2^24*t^5.396 + t^5.503/(g1^17*g2^5) + 2*g1^16*g2^16*t^5.597 + t^5.705/(g1^25*g2^13) + t^5.751/(g1^13*g2^25) + 2*g1^8*g2^8*t^5.799 + (g2^12*t^5.953)/g1^12 - 2*t^6. - (g1^12*t^6.047)/g2^12 + (g2^4*t^6.155)/g1^20 + t^6.201/(g1^8*g2^8) + (2*g2^29*t^6.403)/g1^7 + 2*g1^5*g2^17*t^6.45 + g1^17*g2^5*t^6.497 + (g1^29*t^6.543)/g2^7 + t^6.604/(g1^24*g2^24) + (5*g2^21*t^6.604)/g1^15 + (5*g2^9*t^6.651)/g1^3 + (2*g1^9*t^6.698)/g2^3 + (2*g1^21*t^6.745)/g2^15 + (3*g2^13*t^6.806)/g1^23 + (3*g2*t^6.852)/g1^11 + (g1*t^6.899)/g2^11 + g1^10*g2^34*t^6.9 + (g1^13*t^6.946)/g2^23 + g1^22*g2^22*t^6.946 + g1^34*g2^10*t^6.993 + (2*g2^5*t^7.007)/g1^31 + (3*t^7.054)/(g1^19*g2^7) + (2*t^7.1)/(g1^7*g2^19) + 4*g1^2*g2^26*t^7.101 + (g1^5*t^7.147)/g2^31 + 3*g1^14*g2^14*t^7.148 + 2*g1^26*g2^2*t^7.194 + t^7.208/(g1^39*g2^3) + t^7.255/(g1^27*g2^15) + t^7.302/(g1^15*g2^27) + (7*g2^18*t^7.302)/g1^6 + t^7.348/(g1^3*g2^39) + 4*g1^6*g2^6*t^7.349 + (2*g1^18*t^7.396)/g2^6 + (5*g2^10*t^7.504)/g1^14 + (4*t^7.55)/(g1^2*g2^2) + (2*g1^10*t^7.597)/g2^14 + 2*g1^19*g2^31*t^7.598 + g1^31*g2^19*t^7.644 + (3*g2^2*t^7.705)/g1^22 + t^7.752/(g1^10*g2^10) + (2*g1^2*t^7.798)/g2^22 + 4*g1^11*g2^23*t^7.799 + 2*g1^23*g2^11*t^7.846 + t^7.906/(g1^30*g2^6) + t^7.953/(g1^18*g2^18) + (g2^27*t^7.953)/g1^9 + 4*g1^3*g2^15*t^8. + 2*g1^15*g2^3*t^8.047 + g1^36*g2^36*t^8.094 + t^8.107/(g1^38*g2^14) + t^8.154/(g1^26*g2^26) + (g2^19*t^8.155)/g1^17 + t^8.201/(g1^14*g2^38) - (4*g2^7*t^8.201)/g1^5 - (3*g1^7*t^8.248)/g2^5 - (g1^19*t^8.295)/g2^17 + 2*g1^28*g2^28*t^8.296 + (g2^11*t^8.356)/g1^25 - (3*t^8.403)/(g1^13*g2) + (g2^44*t^8.403)/g1^4 - (5*t^8.449)/(g1*g2^13) + g1^8*g2^32*t^8.45 - (g1^11*t^8.496)/g2^25 + 3*g1^20*g2^20*t^8.497 + g1^32*g2^8*t^8.544 + (g2^3*t^8.557)/g1^33 + (g1^44*t^8.59)/g2^4 + t^8.604/(g1^21*g2^9) + (3*g2^36*t^8.605)/g1^12 + t^8.651/(g1^9*g2^21) + 2*g2^24*t^8.651 + (g1^36*t^8.792)/g2^12 + t^8.805/(g1^29*g2^17) + (7*g2^28*t^8.806)/g1^20 + (6*g2^16*t^8.853)/g1^8 - 5*g1^4*g2^4*t^8.899 + (2*g1^28*t^8.993)/g2^20 - t^4.55/(g1^2*g2^2*y) - (g2^5*t^6.752)/(g1^7*y) - t^6.953/(g1^15*g2^3*y) - t^7./(g1^3*g2^15*y) + (g2^14*t^7.403)/(g1^10*y) + (g1^2*g2^2*t^7.45)/y + (2*g2^6*t^7.604)/(g1^18*y) + (4*t^7.651)/(g1^6*g2^6*y) + (g1^6*t^7.698)/(g2^18*y) + t^7.852/(g1^14*g2^14*y) + (2*g1^7*g2^19*t^7.9)/y + (g1^19*g2^7*t^7.946)/y + (6*g2^11*t^8.101)/(g1*y) + (4*g1^11*t^8.148)/(g2*y) + (2*g2^3*t^8.302)/(g1^9*y) + (3*g1^3*t^8.349)/(g2^9*y) + (2*t^8.503)/(g1^17*g2^5*y) + t^8.55/(g1^5*g2^17*y) + (2*g1^16*g2^16*t^8.597)/y + t^8.705/(g1^25*g2^13*y) + t^8.751/(g1^13*g2^25*y) + (g1^8*g2^8*t^8.799)/y + (g2^12*t^8.953)/(g1^12*y) - (t^4.55*y)/(g1^2*g2^2) - (g2^5*t^6.752*y)/g1^7 - (t^6.953*y)/(g1^15*g2^3) - (t^7.*y)/(g1^3*g2^15) + (g2^14*t^7.403*y)/g1^10 + g1^2*g2^2*t^7.45*y + (2*g2^6*t^7.604*y)/g1^18 + (4*t^7.651*y)/(g1^6*g2^6) + (g1^6*t^7.698*y)/g2^18 + (t^7.852*y)/(g1^14*g2^14) + 2*g1^7*g2^19*t^7.9*y + g1^19*g2^7*t^7.946*y + (6*g2^11*t^8.101*y)/g1 + (4*g1^11*t^8.148*y)/g2 + (2*g2^3*t^8.302*y)/g1^9 + (3*g1^3*t^8.349*y)/g2^9 + (2*t^8.503*y)/(g1^17*g2^5) + (t^8.55*y)/(g1^5*g2^17) + 2*g1^16*g2^16*t^8.597*y + (t^8.705*y)/(g1^25*g2^13) + (t^8.751*y)/(g1^13*g2^25) + g1^8*g2^8*t^8.799*y + (g2^12*t^8.953*y)/g1^12

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
3498	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6488	0.8557	0.7582	[M:[0.9483, 1.1551, 0.9483, 0.8449, 0.7414, 0.8362, 0.8449], q:[0.7371, 0.3146], qb:[0.4181, 0.4268], phi:[0.5259]]	t^2.198 + 2*t^2.224 + t^2.508 + 2*t^2.535 + 2*t^2.845 + t^3.465 + t^3.802 + t^4.086 + t^4.112 + t^4.138 + t^4.396 + 2*t^4.422 + 3*t^4.449 + t^4.707 + 4*t^4.733 + 4*t^4.759 + t^5.017 + 4*t^5.043 + 7*t^5.069 + 2*t^5.353 + 4*t^5.379 + 3*t^5.69 - t^6. - t^4.578/y - t^4.578*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

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

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
1887	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.636	0.8314	0.765	[M:[0.9582, 1.1254, 0.9582, 0.8746, 0.7463, 0.8164], q:[0.7395, 0.3023], qb:[0.4305, 0.4441], phi:[0.5209]]	t^2.198 + 2*t^2.239 + t^2.449 + t^2.624 + 2*t^2.875 + t^3.376 + t^3.51 + t^3.802 + t^4.146 + t^4.186 + t^4.227 + t^4.396 + 2*t^4.437 + 3*t^4.478 + t^4.647 + 2*t^4.688 + t^4.822 + 2*t^4.863 + t^4.898 + 3*t^5.073 + 4*t^5.114 + t^5.247 + 2*t^5.324 + 2*t^5.498 + t^5.615 + t^5.708 + 4*t^5.749 + t^5.825 - 2*t^6. - t^4.563/y - t^4.563*y	detail