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
56058	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$	0.6074	0.7726	0.7862	[M:[1.2857, 0.9286, 0.7143, 0.7857, 1.0, 0.7857], q:[0.3929, 0.3214], qb:[0.6786, 0.8929], phi:[0.4286]]	[M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]]	0	{a: 53337/87808, c: 67841/87808, M1: 9/7, M2: 13/14, M3: 5/7, M4: 11/14, M5: 1, M6: 11/14, q1: 11/28, q2: 9/28, qb1: 19/28, qb2: 25/28, phi1: 3/7}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$	${}\phi_{1}^{3}q_{1}q_{2}$	1	t^2.143 + 2*t^2.357 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^3.857 + t^4.286 + 2*t^4.5 + 5*t^4.714 + 3*t^4.929 + 4*t^5.143 + 4*t^5.357 + 4*t^5.571 + 2*t^5.786 + t^6. + 2*t^6.214 + 2*t^6.429 + 2*t^6.643 + 3*t^6.857 + 6*t^7.071 + 6*t^7.286 + 8*t^7.5 + 10*t^7.714 + 7*t^7.929 + 4*t^8.143 + 4*t^8.571 - t^4.286/y - (2*t^6.643)/y - t^6.857/y - t^7.071/y + (3*t^7.5)/y + (3*t^7.714)/y + (5*t^7.929)/y + (3*t^8.143)/y + (4*t^8.357)/y + (4*t^8.571)/y + (4*t^8.786)/y - t^4.286*y - 2*t^6.643*y - t^6.857*y - t^7.071*y + 3*t^7.5*y + 3*t^7.714*y + 5*t^7.929*y + 3*t^8.143*y + 4*t^8.357*y + 4*t^8.571*y + 4*t^8.786*y	t^2.143 + 2*t^2.357 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^3.857 + t^4.286 + 2*t^4.5 + 5*t^4.714 + 3*t^4.929 + 4*t^5.143 + 4*t^5.357 + 4*t^5.571 + 2*t^5.786 + t^6. + 2*t^6.214 + 2*t^6.429 + 2*t^6.643 + 3*t^6.857 + 6*t^7.071 + 6*t^7.286 + 8*t^7.5 + 10*t^7.714 + 7*t^7.929 + 4*t^8.143 + 4*t^8.571 - t^4.286/y - (2*t^6.643)/y - t^6.857/y - t^7.071/y + (3*t^7.5)/y + (3*t^7.714)/y + (5*t^7.929)/y + (3*t^8.143)/y + (4*t^8.357)/y + (4*t^8.571)/y + (4*t^8.786)/y - t^4.286*y - 2*t^6.643*y - t^6.857*y - t^7.071*y + 3*t^7.5*y + 3*t^7.714*y + 5*t^7.929*y + 3*t^8.143*y + 4*t^8.357*y + 4*t^8.571*y + 4*t^8.786*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
58186	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{7}$	0.6277	0.8107	0.7742	[M:[1.2857, 0.9286, 0.7143, 0.7857, 1.0, 0.7857, 0.7143], q:[0.3929, 0.3214], qb:[0.6786, 0.8929], phi:[0.4286]]	2*t^2.143 + 2*t^2.357 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + 3*t^4.286 + 4*t^4.5 + 6*t^4.714 + 4*t^4.929 + 5*t^5.143 + 5*t^5.357 + 5*t^5.571 + 2*t^5.786 - t^4.286/y - t^4.286*y	detail	{a: 55113/87808, c: 71185/87808, M1: 9/7, M2: 13/14, M3: 5/7, M4: 11/14, M5: 1, M6: 11/14, M7: 5/7, q1: 11/28, q2: 9/28, qb1: 19/28, qb2: 25/28, phi1: 3/7}
58185	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$	0.62	0.7941	0.7808	[M:[1.2857, 0.9286, 0.7143, 0.7857, 1.0, 0.7857, 0.8571], q:[0.3929, 0.3214], qb:[0.6786, 0.8929], phi:[0.4286]]	t^2.143 + 2*t^2.357 + 2*t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.857 + t^4.286 + 2*t^4.5 + 6*t^4.714 + 5*t^4.929 + 6*t^5.143 + 5*t^5.357 + 4*t^5.571 + t^5.786 - t^4.286/y - t^4.286*y	detail	{a: 54441/87808, c: 69729/87808, M1: 9/7, M2: 13/14, M3: 5/7, M4: 11/14, M5: 1, M6: 11/14, M7: 6/7, q1: 11/28, q2: 9/28, qb1: 19/28, qb2: 25/28, phi1: 3/7}
58184	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ + ${ }M_{7}\phi_{1}^{2}$	0.5949	0.7511	0.792	[M:[1.2857, 0.9286, 0.7143, 0.7857, 1.0, 0.7857, 1.1429], q:[0.3929, 0.3214], qb:[0.6786, 0.8929], phi:[0.4286]]	t^2.143 + 2*t^2.357 + t^2.786 + t^3. + t^3.214 + 2*t^3.429 + t^3.857 + t^4.286 + 2*t^4.5 + 4*t^4.714 + t^4.929 + 3*t^5.143 + 3*t^5.357 + 4*t^5.571 + 3*t^5.786 - t^4.286/y - t^4.286*y	detail	{a: 52233/87808, c: 65953/87808, M1: 9/7, M2: 13/14, M3: 5/7, M4: 11/14, M5: 1, M6: 11/14, M7: 8/7, q1: 11/28, q2: 9/28, qb1: 19/28, qb2: 25/28, phi1: 3/7}

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
50867	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$	0.6731	0.854	0.7881	[M:[1.1481, 0.7221, 0.8519, 0.8087, 0.6789, 0.8087], q:[0.4043, 0.4476], qb:[0.8736, 0.7438], phi:[0.3827]]	t^2.037 + t^2.166 + t^2.296 + 2*t^2.426 + t^2.556 + t^3.444 + t^3.704 + t^3.834 + t^4.073 + t^4.203 + 2*t^4.333 + 3*t^4.463 + 4*t^4.592 + 3*t^4.722 + 5*t^4.852 + 2*t^4.982 + t^5.112 + t^5.481 + t^5.611 + t^5.74 + 2*t^5.87 - t^4.148/y - t^4.148*y	detail