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
80	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$	0.7232	0.8641	0.8369	[M:[0.837, 1.163, 0.837], q:[0.5815, 0.5815], qb:[0.5815, 0.5815], phi:[0.4185]]	[M:[[-4, -4, 0, 0], [2, 2, 2, 2], [0, 0, -4, -4]], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]]	4

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$	${}M_{1}M_{2}$, ${ }M_{2}M_{3}$	-6	2*t^2.511 + 5*t^3.489 + 10*t^4.745 + 3*t^5.022 - 6*t^6. + 14*t^6.978 + 5*t^7.255 + 4*t^7.533 + 25*t^8.234 - 7*t^8.511 - t^4.255/y - (2*t^6.766)/y + (2*t^7.745)/y + t^8.022/y - t^4.255*y - 2*t^6.766*y + 2*t^7.745*y + t^8.022*y	t^2.511/(g1^4*g2^4) + t^2.511/(g3^4*g4^4) + g1^4*g3^4*t^3.489 + g2^4*g3^4*t^3.489 + g1^2*g2^2*g3^2*g4^2*t^3.489 + g1^4*g4^4*t^3.489 + g2^4*g4^4*t^3.489 + (g1^7*t^4.745)/(g2*g3*g4) + (g1^3*g2^3*t^4.745)/(g3*g4) + (g2^7*t^4.745)/(g1*g3*g4) + (g1^3*g3^3*t^4.745)/(g2*g4) + (g2^3*g3^3*t^4.745)/(g1*g4) + (g3^7*t^4.745)/(g1*g2*g4) + (g1^3*g4^3*t^4.745)/(g2*g3) + (g2^3*g4^3*t^4.745)/(g1*g3) + (g3^3*g4^3*t^4.745)/(g1*g2) + (g4^7*t^4.745)/(g1*g2*g3) + t^5.022/(g1^8*g2^8) + t^5.022/(g3^8*g4^8) + t^5.022/(g1^4*g2^4*g3^4*g4^4) - 4*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 - (g3^4*t^6.)/g4^4 + (g1^2*g2^2*t^6.)/(g3^2*g4^2) + (g3^2*g4^2*t^6.)/(g1^2*g2^2) - (g4^4*t^6.)/g3^4 + g1^8*g3^8*t^6.978 + g1^4*g2^4*g3^8*t^6.978 + g2^8*g3^8*t^6.978 + g1^6*g2^2*g3^6*g4^2*t^6.978 + g1^2*g2^6*g3^6*g4^2*t^6.978 + g1^8*g3^4*g4^4*t^6.978 + 2*g1^4*g2^4*g3^4*g4^4*t^6.978 + g2^8*g3^4*g4^4*t^6.978 + g1^6*g2^2*g3^2*g4^6*t^6.978 + g1^2*g2^6*g3^2*g4^6*t^6.978 + g1^8*g4^8*t^6.978 + g1^4*g2^4*g4^8*t^6.978 + g2^8*g4^8*t^6.978 + (g1^7*t^7.255)/(g2*g3^5*g4^5) + (g1^3*g2^3*t^7.255)/(g3^5*g4^5) + (g2^7*t^7.255)/(g1*g3^5*g4^5) - t^7.255/(g1*g2*g3*g4) + (g3^7*t^7.255)/(g1^5*g2^5*g4) + (g3^3*g4^3*t^7.255)/(g1^5*g2^5) + (g4^7*t^7.255)/(g1^5*g2^5*g3) + t^7.533/(g1^12*g2^12) + t^7.533/(g3^12*g4^12) + t^7.533/(g1^4*g2^4*g3^8*g4^8) + t^7.533/(g1^8*g2^8*g3^4*g4^4) + (g1^11*g3^3*t^8.234)/(g2*g4) + (g1^7*g2^3*g3^3*t^8.234)/g4 + (g1^3*g2^7*g3^3*t^8.234)/g4 + (g2^11*g3^3*t^8.234)/(g1*g4) + (g1^7*g3^7*t^8.234)/(g2*g4) + (g1^3*g2^3*g3^7*t^8.234)/g4 + (g2^7*g3^7*t^8.234)/(g1*g4) + (g1^3*g3^11*t^8.234)/(g2*g4) + (g2^3*g3^11*t^8.234)/(g1*g4) + (g1^11*g4^3*t^8.234)/(g2*g3) + (g1^7*g2^3*g4^3*t^8.234)/g3 + (g1^3*g2^7*g4^3*t^8.234)/g3 + (g2^11*g4^3*t^8.234)/(g1*g3) + (g1^7*g3^3*g4^3*t^8.234)/g2 + g1^3*g2^3*g3^3*g4^3*t^8.234 + (g2^7*g3^3*g4^3*t^8.234)/g1 + (g1^3*g3^7*g4^3*t^8.234)/g2 + (g2^3*g3^7*g4^3*t^8.234)/g1 + (g1^7*g4^7*t^8.234)/(g2*g3) + (g1^3*g2^3*g4^7*t^8.234)/g3 + (g2^7*g4^7*t^8.234)/(g1*g3) + (g1^3*g3^3*g4^7*t^8.234)/g2 + (g2^3*g3^3*g4^7*t^8.234)/g1 + (g1^3*g4^11*t^8.234)/(g2*g3) + (g2^3*g4^11*t^8.234)/(g1*g3) - (3*t^8.511)/(g1^4*g2^4) + (g1^2*g2^2*t^8.511)/(g3^6*g4^6) - (3*t^8.511)/(g3^4*g4^4) - (g1^4*t^8.511)/(g2^4*g3^4*g4^4) - (g2^4*t^8.511)/(g1^4*g3^4*g4^4) - (g3^4*t^8.511)/(g1^4*g2^4*g4^4) + t^8.511/(g1^2*g2^2*g3^2*g4^2) + (g3^2*g4^2*t^8.511)/(g1^6*g2^6) - (g4^4*t^8.511)/(g1^4*g2^4*g3^4) - t^4.255/(g1*g2*g3*g4*y) - t^6.766/(g1*g2*g3^5*g4^5*y) - t^6.766/(g1^5*g2^5*g3*g4*y) + (g1^3*g2^3*t^7.745)/(g3*g4*y) + (g3^3*g4^3*t^7.745)/(g1*g2*y) + t^8.022/(g1^4*g2^4*g3^4*g4^4*y) - (t^4.255*y)/(g1*g2*g3*g4) - (t^6.766*y)/(g1*g2*g3^5*g4^5) - (t^6.766*y)/(g1^5*g2^5*g3*g4) + (g1^3*g2^3*t^7.745*y)/(g3*g4) + (g3^3*g4^3*t^7.745*y)/(g1*g2) + (t^8.022*y)/(g1^4*g2^4*g3^4*g4^4)

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
128	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$	0.7093	0.857	0.8276	[M:[0.8187, 1.0907, 1.0], q:[0.5907, 0.5907], qb:[0.5, 0.5], phi:[0.4547]]	t^2.456 + t^3. + 5*t^3.272 + 3*t^4.364 + 4*t^4.636 + 3*t^4.908 + t^4.912 + t^5.456 + t^5.728 - 7*t^6. - t^4.364/y - t^4.364*y	detail
129	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$	0.7394	0.8922	0.8287	[M:[0.8151, 1.1849, 0.8151, 0.7774], q:[0.6113, 0.5736], qb:[0.6113, 0.5736], phi:[0.4075]]	t^2.332 + 2*t^2.445 + t^3.441 + 3*t^3.555 + 4*t^4.664 + 6*t^4.777 + 6*t^4.891 + t^5.774 + t^5.887 - 2*t^6. - t^4.223/y - t^4.223*y	detail
127	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$	0.6849	0.8216	0.8337	[M:[0.689, 1.2094, 0.8921], q:[0.8024, 0.5086], qb:[0.554, 0.554], phi:[0.3953]]	t^2.067 + t^2.676 + 2*t^3.188 + t^3.628 + 2*t^4.069 + t^4.134 + t^4.237 + 2*t^4.374 + 3*t^4.51 + t^4.743 + 2*t^5.255 + t^5.353 + t^5.695 - 5*t^6. - t^4.186/y - t^4.186*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
53	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$	0.7121	0.8517	0.8362	[M:[0.8278, 1.1256], q:[0.5861, 0.5861], qb:[0.5395, 0.5395], phi:[0.4372]]	t^2.483 + t^3.237 + 5*t^3.377 + 3*t^4.549 + 4*t^4.688 + 3*t^4.828 + t^4.967 + t^5.72 + t^5.86 - 8*t^6. - t^4.312/y - t^4.312*y	detail