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
57023	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$	0.6087	0.7778	0.7826	[M:[1.2792, 0.8222, 0.7208, 0.8834, 0.9847, 0.7208, 1.0153], q:[0.4417, 0.2792], qb:[0.7361, 0.8375], phi:[0.4264]]	[M:[[3], [16], [-3], [-12], [7], [-3], [-7]], q:[[-6], [3]], qb:[[-10], [9]], phi:[[1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$	${}\phi_{1}^{3}q_{1}q_{2}$	-1	2*t^2.163 + t^2.467 + t^2.558 + t^2.65 + t^2.954 + t^3.046 + t^3.442 + t^3.929 + 3*t^4.325 + 2*t^4.629 + 3*t^4.721 + 2*t^4.813 + t^4.933 + t^5.025 + 4*t^5.117 + 3*t^5.208 + t^5.3 + t^5.421 + t^5.512 + 3*t^5.604 + t^5.696 + t^5.908 - t^6. + 3*t^6.092 + 4*t^6.488 + t^6.579 + t^6.792 + 3*t^6.883 + 3*t^6.975 + 2*t^7.096 + 2*t^7.187 + 5*t^7.279 + 5*t^7.371 + t^7.4 + 2*t^7.463 + t^7.492 + 4*t^7.583 + 3*t^7.675 + 6*t^7.767 + 4*t^7.858 + t^7.887 + t^7.95 + t^7.979 + 2*t^8.071 - 2*t^8.163 + 5*t^8.254 + t^8.346 + t^8.375 - 2*t^8.467 - 2*t^8.558 + 3*t^8.65 + 3*t^8.742 - 3*t^8.954 - t^4.279/y - t^6.442/y - t^6.746/y - t^6.837/y - t^6.929/y + t^7.325/y + (3*t^7.629)/y + (3*t^7.721)/y + (3*t^7.813)/y + t^8.025/y + (4*t^8.117)/y + (3*t^8.208)/y + t^8.421/y + (2*t^8.512)/y + (3*t^8.604)/y + t^8.696/y - t^4.279*y - t^6.442*y - t^6.746*y - t^6.837*y - t^6.929*y + t^7.325*y + 3*t^7.629*y + 3*t^7.721*y + 3*t^7.813*y + t^8.025*y + 4*t^8.117*y + 3*t^8.208*y + t^8.421*y + 2*t^8.512*y + 3*t^8.604*y + t^8.696*y	(2*t^2.163)/g1^3 + g1^16*t^2.467 + g1^2*t^2.558 + t^2.65/g1^12 + g1^7*t^2.954 + t^3.046/g1^7 + t^3.442/g1^2 + t^3.929/g1^11 + (3*t^4.325)/g1^6 + 2*g1^13*t^4.629 + (3*t^4.721)/g1 + (2*t^4.813)/g1^15 + g1^32*t^4.933 + g1^18*t^5.025 + 4*g1^4*t^5.117 + (3*t^5.208)/g1^10 + t^5.3/g1^24 + g1^23*t^5.421 + g1^9*t^5.512 + (3*t^5.604)/g1^5 + t^5.696/g1^19 + g1^14*t^5.908 - t^6. + (3*t^6.092)/g1^14 + (4*t^6.488)/g1^9 + t^6.579/g1^23 + g1^10*t^6.792 + (3*t^6.883)/g1^4 + (3*t^6.975)/g1^18 + 2*g1^29*t^7.096 + 2*g1^15*t^7.187 + 5*g1*t^7.279 + (5*t^7.371)/g1^13 + g1^48*t^7.4 + (2*t^7.463)/g1^27 + g1^34*t^7.492 + 4*g1^20*t^7.583 + 3*g1^6*t^7.675 + (6*t^7.767)/g1^8 + (4*t^7.858)/g1^22 + g1^39*t^7.887 + t^7.95/g1^36 + g1^25*t^7.979 + 2*g1^11*t^8.071 - (2*t^8.163)/g1^3 + (5*t^8.254)/g1^17 + t^8.346/g1^31 + g1^30*t^8.375 - 2*g1^16*t^8.467 - 2*g1^2*t^8.558 + (3*t^8.65)/g1^12 + (3*t^8.742)/g1^26 - 3*g1^7*t^8.954 - (g1*t^4.279)/y - t^6.442/(g1^2*y) - (g1^17*t^6.746)/y - (g1^3*t^6.837)/y - t^6.929/(g1^11*y) + t^7.325/(g1^6*y) + (3*g1^13*t^7.629)/y + (3*t^7.721)/(g1*y) + (3*t^7.813)/(g1^15*y) + (g1^18*t^8.025)/y + (4*g1^4*t^8.117)/y + (3*t^8.208)/(g1^10*y) + (g1^23*t^8.421)/y + (2*g1^9*t^8.512)/y + (3*t^8.604)/(g1^5*y) + t^8.696/(g1^19*y) - g1*t^4.279*y - (t^6.442*y)/g1^2 - g1^17*t^6.746*y - g1^3*t^6.837*y - (t^6.929*y)/g1^11 + (t^7.325*y)/g1^6 + 3*g1^13*t^7.629*y + (3*t^7.721*y)/g1 + (3*t^7.813*y)/g1^15 + g1^18*t^8.025*y + 4*g1^4*t^8.117*y + (3*t^8.208*y)/g1^10 + g1^23*t^8.421*y + 2*g1^9*t^8.512*y + (3*t^8.604*y)/g1^5 + (t^8.696*y)/g1^19

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
58946	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$	0.6294	0.818	0.7694	[M:[1.2781, 0.8166, 0.7219, 0.8876, 0.9822, 0.7219, 1.0178, 0.6864], q:[0.4438, 0.2781], qb:[0.7397, 0.8343], phi:[0.426]]	t^2.059 + 2*t^2.166 + t^2.45 + t^2.556 + t^2.663 + t^2.947 + t^3.053 + t^3.444 + t^4.118 + 2*t^4.225 + 3*t^4.331 + t^4.509 + 3*t^4.615 + 4*t^4.722 + 2*t^4.828 + t^4.899 + 2*t^5.006 + 5*t^5.112 + 3*t^5.219 + t^5.325 + t^5.396 + 2*t^5.503 + 3*t^5.609 + t^5.716 + t^5.893 - t^6. - t^4.278/y - t^4.278*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
55473	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6909	0.8877	0.7783	[M:[1.1505, 0.7502, 0.8495, 0.7838, 0.6844, 0.8495, 0.7012], q:[0.3919, 0.4576], qb:[0.8579, 0.7586], phi:[0.3835]]	t^2.053 + t^2.104 + t^2.25 + t^2.301 + t^2.351 + 2*t^2.549 + t^3.502 + t^3.699 + t^4.106 + t^4.157 + t^4.207 + t^4.304 + 2*t^4.354 + 2*t^4.405 + t^4.455 + t^4.501 + t^4.551 + 4*t^4.602 + 3*t^4.652 + t^4.703 + 2*t^4.799 + 3*t^4.85 + 2*t^4.9 + 3*t^5.097 + t^5.555 + t^5.606 + t^5.752 + t^5.803 + t^5.853 - 2*t^6. - t^4.15/y - t^4.15*y	detail