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
870	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.567	0.7423	0.7639	[M:[1.0488, 0.8535, 1.1465, 0.8535, 0.6709], q:[0.7622, 0.189], qb:[0.4819, 0.6646], phi:[0.4756]]	[M:[[-4], [12], [-12], [12], [-14]], q:[[-1], [5]], qb:[[-19], [7]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$	${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$	-1	2*t^2.013 + 3*t^2.561 + t^2.854 + t^3.146 + t^3.439 + t^3.732 + 3*t^4.025 + t^4.28 + t^4.318 + 5*t^4.573 + 3*t^4.866 + 5*t^5.121 + 2*t^5.159 + 4*t^5.414 + t^5.452 + 2*t^5.707 + 2*t^5.745 - t^6. + 4*t^6.038 + 4*t^6.293 + 2*t^6.331 - 2*t^6.548 + 7*t^6.586 + t^6.841 + 6*t^6.879 + 6*t^7.134 + 4*t^7.172 + 5*t^7.427 + 2*t^7.465 + 7*t^7.682 + 2*t^7.72 + 4*t^7.758 + 6*t^7.975 - 3*t^8.013 + 6*t^8.051 + 2*t^8.268 + 4*t^8.306 + 3*t^8.344 - 8*t^8.561 + 9*t^8.599 + t^8.637 - t^8.854 + 8*t^8.892 - t^4.427/y - t^6.439/y - t^6.987/y + t^7.025/y + (6*t^7.573)/y + (3*t^7.866)/y + (3*t^8.121)/y + (2*t^8.159)/y + (4*t^8.414)/y + t^8.452/y + (3*t^8.707)/y + (2*t^8.745)/y - t^4.427*y - t^6.439*y - t^6.987*y + t^7.025*y + 6*t^7.573*y + 3*t^7.866*y + 3*t^8.121*y + 2*t^8.159*y + 4*t^8.414*y + t^8.452*y + 3*t^8.707*y + 2*t^8.745*y	(2*t^2.013)/g1^14 + 3*g1^12*t^2.561 + g1^4*t^2.854 + t^3.146/g1^4 + t^3.439/g1^12 + t^3.732/g1^20 + (3*t^4.025)/g1^28 + g1^6*t^4.28 + t^4.318/g1^36 + (5*t^4.573)/g1^2 + (3*t^4.866)/g1^10 + 5*g1^24*t^5.121 + (2*t^5.159)/g1^18 + 4*g1^16*t^5.414 + t^5.452/g1^26 + 2*g1^8*t^5.707 + (2*t^5.745)/g1^34 - t^6. + (4*t^6.038)/g1^42 + (4*t^6.293)/g1^8 + (2*t^6.331)/g1^50 - 2*g1^26*t^6.548 + (7*t^6.586)/g1^16 + g1^18*t^6.841 + (6*t^6.879)/g1^24 + 6*g1^10*t^7.134 + (4*t^7.172)/g1^32 + 5*g1^2*t^7.427 + (2*t^7.465)/g1^40 + 7*g1^36*t^7.682 + (2*t^7.72)/g1^6 + (4*t^7.758)/g1^48 + 6*g1^28*t^7.975 - (3*t^8.013)/g1^14 + (6*t^8.051)/g1^56 + 2*g1^20*t^8.268 + (4*t^8.306)/g1^22 + (3*t^8.344)/g1^64 - 8*g1^12*t^8.561 + (9*t^8.599)/g1^30 + t^8.637/g1^72 - g1^4*t^8.854 + (8*t^8.892)/g1^38 - (g1^2*t^4.427)/y - t^6.439/(g1^12*y) - (g1^14*t^6.987)/y + t^7.025/(g1^28*y) + (6*t^7.573)/(g1^2*y) + (3*t^7.866)/(g1^10*y) + (3*g1^24*t^8.121)/y + (2*t^8.159)/(g1^18*y) + (4*g1^16*t^8.414)/y + t^8.452/(g1^26*y) + (3*g1^8*t^8.707)/y + (2*t^8.745)/(g1^34*y) - g1^2*t^4.427*y - (t^6.439*y)/g1^12 - g1^14*t^6.987*y + (t^7.025*y)/g1^28 + (6*t^7.573*y)/g1^2 + (3*t^7.866*y)/g1^10 + 3*g1^24*t^8.121*y + (2*t^8.159*y)/g1^18 + 4*g1^16*t^8.414*y + (t^8.452*y)/g1^26 + 3*g1^8*t^8.707*y + (2*t^8.745*y)/g1^34

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
1363	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{5}$	0.5459	0.7142	0.7644	[M:[1.0769, 0.7692, 1.2308, 0.7692, 0.7692], q:[0.7692, 0.1538], qb:[0.6154, 0.6154], phi:[0.4615]]	5*t^2.308 + t^2.769 + t^3.231 + t^3.692 + 2*t^4.154 + 13*t^4.615 + 8*t^5.077 + 4*t^5.538 - 2*t^6. - t^4.385/y - t^4.385*y	detail	{a: 19191/35152, c: 12553/17576, M1: 14/13, M2: 10/13, M3: 16/13, M4: 10/13, M5: 10/13, q1: 10/13, q2: 2/13, qb1: 8/13, qb2: 8/13, phi1: 6/13}
2044	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$	0.5643	0.737	0.7656	[M:[1.0588, 0.8235, 1.1765, 0.8235, 0.7059], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]]	2*t^2.118 + 3*t^2.471 + t^2.824 + t^3.176 + t^3.529 + t^3.882 + 4*t^4.235 + 6*t^4.588 + 8*t^4.941 + 6*t^5.294 + 3*t^5.647 + t^6. - t^4.412/y - t^4.412*y	detail	{a: 44355/78608, c: 28969/39304, M1: 18/17, M2: 14/17, M3: 20/17, M4: 14/17, M5: 12/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17}
2045	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.5862	0.7769	0.7545	[M:[1.0521, 0.8438, 1.1562, 0.8438, 0.6823, 0.7396], q:[0.763, 0.1849], qb:[0.4974, 0.6589], phi:[0.474]]	2*t^2.047 + t^2.219 + 3*t^2.531 + t^2.844 + t^3.156 + t^3.469 + 3*t^4.094 + 3*t^4.266 + t^4.406 + t^4.438 + 5*t^4.578 + 3*t^4.75 + 3*t^4.891 + 6*t^5.063 + 2*t^5.203 + 5*t^5.375 + t^5.515 + 3*t^5.688 - t^6. - t^4.422/y - t^4.422*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
555	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{4}$	0.5462	0.7009	0.7793	[M:[1.049, 0.853, 1.147, 0.853], q:[0.7622, 0.1888], qb:[0.4827, 0.6643], phi:[0.4755]]	t^2.014 + 3*t^2.559 + t^2.853 + t^3.147 + t^3.441 + t^3.735 + t^3.986 + t^4.029 + t^4.28 + t^4.323 + 2*t^4.573 + 2*t^4.867 + 5*t^5.118 + t^5.161 + 4*t^5.412 + 2*t^5.706 + t^5.749 - t^4.427/y - t^4.427*y	detail