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
191	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6895	0.8743	0.7886	[M:[0.6948, 0.6948, 0.6948, 0.6948], q:[0.8263, 0.8263], qb:[0.4789, 0.4789], phi:[0.3474]]	[M:[[1, -4, -1], [0, 1, -5], [-1, -3, 0], [0, -2, -2]], q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]]	3

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$	${}M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$	6	5*t^2.084 + t^2.873 + 3*t^3.916 + 15*t^4.169 + 6*t^4.958 + t^5.747 + 6*t^6. + 35*t^6.253 + 3*t^6.789 + 12*t^7.042 + 3*t^7.831 + t^8.084 + 70*t^8.337 + t^8.62 + t^8.873 - t^4.042/y - (5*t^6.127)/y + (10*t^7.169)/y + (10*t^7.958)/y - (15*t^8.211)/y - t^4.042*y - 5*t^6.127*y + 10*t^7.169*y + 10*t^7.958*y - 15*t^8.211*y	t^2.084/(g1*g2^3) + (g2*t^2.084)/g3^5 + (2*t^2.084)/(g2^2*g3^2) + (g1*t^2.084)/(g2^4*g3) + g2^3*g3^3*t^2.873 + (g2^5*t^3.916)/g3 + g1*g3^3*t^3.916 + (g2*g3^4*t^3.916)/g1 + t^4.169/(g1^2*g2^6) + (g2^2*t^4.169)/g3^10 + (2*t^4.169)/(g2*g3^7) + (g1*t^4.169)/(g2^3*g3^6) + t^4.169/(g1*g2^2*g3^5) + (3*t^4.169)/(g2^4*g3^4) + (2*g1*t^4.169)/(g2^6*g3^3) + (g1^2*t^4.169)/(g2^8*g3^2) + (2*t^4.169)/(g1*g2^5*g3^2) + t^4.169/(g2^7*g3) + (g2^4*t^4.958)/g3^2 + 3*g2*g3*t^4.958 + (g1*g3^2*t^4.958)/g2 + (g3^3*t^4.958)/g1 + g2^6*g3^6*t^5.747 - 3*t^6. + (g2^6*t^6.)/g3^6 + (g2^3*t^6.)/g3^3 + (g1*g2*t^6.)/g3^2 + (g2^2*t^6.)/(g1*g3) + (g1*g3*t^6.)/g2^2 + (g1^2*g3^2*t^6.)/g2^4 + (g3^2*t^6.)/(g1*g2) + (g3^3*t^6.)/g2^3 + (g3^4*t^6.)/(g1^2*g2^2) + t^6.253/(g1^3*g2^9) + (g2^3*t^6.253)/g3^15 + (2*t^6.253)/g3^12 + (g1*t^6.253)/(g2^2*g3^11) + t^6.253/(g1*g2*g3^10) + (3*t^6.253)/(g2^3*g3^9) + (2*g1*t^6.253)/(g2^5*g3^8) + (g1^2*t^6.253)/(g2^7*g3^7) + (2*t^6.253)/(g1*g2^4*g3^7) + (5*t^6.253)/(g2^6*g3^6) + (3*g1*t^6.253)/(g2^8*g3^5) + t^6.253/(g1^2*g2^5*g3^5) + (2*g1^2*t^6.253)/(g2^10*g3^4) + (3*t^6.253)/(g1*g2^7*g3^4) + (g1^3*t^6.253)/(g2^12*g3^3) + (2*t^6.253)/(g2^9*g3^3) + (g1*t^6.253)/(g2^11*g3^2) + (2*t^6.253)/(g1^2*g2^8*g3^2) + t^6.253/(g1*g2^10*g3) + g2^8*g3^2*t^6.789 + g1*g2^3*g3^6*t^6.789 + (g2^4*g3^7*t^6.789)/g1 + (2*g1*t^7.042)/g2^3 + (g2^5*t^7.042)/g3^7 + (2*g2^2*t^7.042)/g3^4 + (3*t^7.042)/(g2*g3) + (g1^2*g3*t^7.042)/g2^5 + (2*g3*t^7.042)/(g1*g2^2) + (g3^3*t^7.042)/(g1^2*g2^3) + (g2^10*t^7.831)/g3^2 + g1^2*g3^6*t^7.831 + (g2^2*g3^8*t^7.831)/g1^2 + (g1^2*t^8.084)/g2^6 - (2*t^8.084)/(g1*g2^3) + (g2^7*t^8.084)/g3^11 + (g2^4*t^8.084)/g3^8 + (g1*g2^2*t^8.084)/g3^7 + (g2^3*t^8.084)/(g1*g3^6) - (2*g2*t^8.084)/g3^5 + (g1^2*t^8.084)/(g2^3*g3^3) - (5*t^8.084)/(g2^2*g3^2) - (2*g1*t^8.084)/(g2^4*g3) + t^8.084/(g1^2*g2*g3) + (g1^3*g3*t^8.084)/g2^8 + (g1*g3^2*t^8.084)/g2^7 + (g3^2*t^8.084)/(g1^2*g2^4) + (g3^3*t^8.084)/(g1*g2^6) + (g3^4*t^8.084)/(g1^3*g2^5) + t^8.337/(g1^4*g2^12) + (g2^4*t^8.337)/g3^20 + (2*g2*t^8.337)/g3^17 + (g1*t^8.337)/(g2*g3^16) + t^8.337/(g1*g3^15) + (3*t^8.337)/(g2^2*g3^14) + (2*g1*t^8.337)/(g2^4*g3^13) + (g1^2*t^8.337)/(g2^6*g3^12) + (2*t^8.337)/(g1*g2^3*g3^12) + (5*t^8.337)/(g2^5*g3^11) + (3*g1*t^8.337)/(g2^7*g3^10) + t^8.337/(g1^2*g2^4*g3^10) + (2*g1^2*t^8.337)/(g2^9*g3^9) + (3*t^8.337)/(g1*g2^6*g3^9) + (g1^3*t^8.337)/(g2^11*g3^8) + (7*t^8.337)/(g2^8*g3^8) + (5*g1*t^8.337)/(g2^10*g3^7) + (2*t^8.337)/(g1^2*g2^7*g3^7) + (3*g1^2*t^8.337)/(g2^12*g3^6) + (5*t^8.337)/(g1*g2^9*g3^6) + (2*g1^3*t^8.337)/(g2^14*g3^5) + (3*t^8.337)/(g2^11*g3^5) + t^8.337/(g1^3*g2^8*g3^5) + (g1^4*t^8.337)/(g2^16*g3^4) + (2*g1*t^8.337)/(g2^13*g3^4) + (3*t^8.337)/(g1^2*g2^10*g3^4) + (g1^2*t^8.337)/(g2^15*g3^3) + (2*t^8.337)/(g1*g2^12*g3^3) + t^8.337/(g2^14*g3^2) + (2*t^8.337)/(g1^3*g2^11*g3^2) + t^8.337/(g1^2*g2^13*g3) + g2^9*g3^9*t^8.62 + g2^6*t^8.873 + (g2^9*t^8.873)/g3^3 - 5*g2^3*g3^3*t^8.873 + g1*g2*g3^4*t^8.873 + (g1^2*g3^5*t^8.873)/g2 + (g2^2*g3^5*t^8.873)/g1 + (g2*g3^7*t^8.873)/g1^2 - t^4.042/(g2*g3*y) - t^6.127/(g3^6*y) - (2*t^6.127)/(g2^3*g3^3*y) - (g1*t^6.127)/(g2^5*g3^2*y) - t^6.127/(g1*g2^4*g3*y) + (2*t^7.169)/(g2*g3^7*y) + (g1*t^7.169)/(g2^3*g3^6*y) + t^7.169/(g1*g2^2*g3^5*y) + t^7.169/(g2^4*g3^4*y) + (2*g1*t^7.169)/(g2^6*g3^3*y) + (2*t^7.169)/(g1*g2^5*g3^2*y) + t^7.169/(g2^7*g3*y) + (g2^3*t^7.958)/(g1*y) + (g2^4*t^7.958)/(g3^2*y) + (g1*g2^2*t^7.958)/(g3*y) + (4*g2*g3*t^7.958)/y + (g1*g3^2*t^7.958)/(g2*y) + (g3^3*t^7.958)/(g1*y) + (g3^4*t^7.958)/(g2^2*y) - (g2*t^8.211)/(g3^11*y) - (2*t^8.211)/(g2^2*g3^8*y) - (g1*t^8.211)/(g2^4*g3^7*y) - t^8.211/(g1*g2^3*g3^6*y) - (3*t^8.211)/(g2^5*g3^5*y) - (2*g1*t^8.211)/(g2^7*g3^4*y) - (g1^2*t^8.211)/(g2^9*g3^3*y) - (2*t^8.211)/(g1*g2^6*g3^3*y) - t^8.211/(g2^8*g3^2*y) - t^8.211/(g1^2*g2^7*g3*y) - (t^4.042*y)/(g2*g3) - (t^6.127*y)/g3^6 - (2*t^6.127*y)/(g2^3*g3^3) - (g1*t^6.127*y)/(g2^5*g3^2) - (t^6.127*y)/(g1*g2^4*g3) + (2*t^7.169*y)/(g2*g3^7) + (g1*t^7.169*y)/(g2^3*g3^6) + (t^7.169*y)/(g1*g2^2*g3^5) + (t^7.169*y)/(g2^4*g3^4) + (2*g1*t^7.169*y)/(g2^6*g3^3) + (2*t^7.169*y)/(g1*g2^5*g3^2) + (t^7.169*y)/(g2^7*g3) + (g2^3*t^7.958*y)/g1 + (g2^4*t^7.958*y)/g3^2 + (g1*g2^2*t^7.958*y)/g3 + 4*g2*g3*t^7.958*y + (g1*g3^2*t^7.958*y)/g2 + (g3^3*t^7.958*y)/g1 + (g3^4*t^7.958*y)/g2^2 - (g2*t^8.211*y)/g3^11 - (2*t^8.211*y)/(g2^2*g3^8) - (g1*t^8.211*y)/(g2^4*g3^7) - (t^8.211*y)/(g1*g2^3*g3^6) - (3*t^8.211*y)/(g2^5*g3^5) - (2*g1*t^8.211*y)/(g2^7*g3^4) - (g1^2*t^8.211*y)/(g2^9*g3^3) - (2*t^8.211*y)/(g1*g2^6*g3^3) - (t^8.211*y)/(g2^8*g3^2) - (t^8.211*y)/(g1^2*g2^7*g3)

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
302	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$	0.7102	0.9148	0.7763	[M:[0.6894, 0.6991, 0.6894, 0.6926, 0.6862], q:[0.8268, 0.8268], qb:[0.4837, 0.4773], phi:[0.3463]]	t^2.059 + 2*t^2.068 + 2*t^2.078 + t^2.097 + t^2.883 + 2*t^3.912 + t^4.117 + 2*t^4.127 + 5*t^4.136 + 4*t^4.146 + 4*t^4.156 + 2*t^4.166 + 2*t^4.175 + t^4.195 + t^4.942 + 2*t^4.951 + 3*t^4.961 + t^4.98 + t^5.766 + 2*t^5.971 + 3*t^5.981 + 2*t^5.99 - 3*t^6. - t^4.039/y - t^4.039*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
119	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$	0.6689	0.8346	0.8015	[M:[0.6982, 0.6982, 0.6982], q:[0.8254, 0.8254], qb:[0.4763, 0.4763], phi:[0.3491]]	4*t^2.095 + t^2.858 + 4*t^3.905 + 10*t^4.189 + 5*t^4.953 + t^5.716 + 7*t^6. - t^4.047/y - t^4.047*y	detail