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
1365	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6444	0.8674	0.7428	[M:[0.9187, 1.244, 0.756, 0.756, 0.7033, 0.756], q:[0.7297, 0.3517], qb:[0.3517, 0.4044], phi:[0.5407]]	[M:[[4], [-12], [12], [12], [-10], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$	${}M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1	2*t^2.11 + 4*t^2.268 + t^2.756 + 2*t^3.244 + t^3.402 + t^3.732 + t^3.89 + t^4.048 + 3*t^4.22 + 8*t^4.378 + 10*t^4.536 + 2*t^4.866 + 4*t^5.024 + 4*t^5.354 + 10*t^5.512 + 4*t^5.67 + t^6. + 4*t^6.158 + 4*t^6.316 + 4*t^6.33 + 11*t^6.488 + 20*t^6.646 + 21*t^6.804 + 2*t^6.976 + 5*t^7.134 + 11*t^7.292 + t^7.45 + 4*t^7.464 + 12*t^7.622 + 24*t^7.78 + 11*t^7.938 - t^7.952 + t^8.096 - 7*t^8.11 - 3*t^8.268 + 10*t^8.426 + 5*t^8.44 + 10*t^8.584 + 12*t^8.598 + 21*t^8.756 + 40*t^8.914 - t^4.622/y - t^6.732/y - (2*t^6.89)/y + t^7.22/y + (8*t^7.378)/y + (6*t^7.536)/y + (2*t^7.866)/y + (4*t^8.024)/y + (6*t^8.354)/y + (11*t^8.512)/y + (4*t^8.67)/y + t^8.842/y - t^4.622*y - t^6.732*y - 2*t^6.89*y + t^7.22*y + 8*t^7.378*y + 6*t^7.536*y + 2*t^7.866*y + 4*t^8.024*y + 6*t^8.354*y + 11*t^8.512*y + 4*t^8.67*y + t^8.842*y	(2*t^2.11)/g1^10 + 4*g1^12*t^2.268 + g1^4*t^2.756 + (2*t^3.244)/g1^4 + g1^18*t^3.402 + t^3.732/g1^12 + g1^10*t^3.89 + g1^32*t^4.048 + (3*t^4.22)/g1^20 + 8*g1^2*t^4.378 + 10*g1^24*t^4.536 + (2*t^4.866)/g1^6 + 4*g1^16*t^5.024 + (4*t^5.354)/g1^14 + 10*g1^8*t^5.512 + 4*g1^30*t^5.67 + t^6. + 4*g1^22*t^6.158 + 4*g1^44*t^6.316 + (4*t^6.33)/g1^30 + (11*t^6.488)/g1^8 + 20*g1^14*t^6.646 + 21*g1^36*t^6.804 + (2*t^6.976)/g1^16 + 5*g1^6*t^7.134 + 11*g1^28*t^7.292 + g1^50*t^7.45 + (4*t^7.464)/g1^24 + (12*t^7.622)/g1^2 + 24*g1^20*t^7.78 + 11*g1^42*t^7.938 - t^7.952/g1^32 + g1^64*t^8.096 - (7*t^8.11)/g1^10 - 3*g1^12*t^8.268 + 10*g1^34*t^8.426 + (5*t^8.44)/g1^40 + 10*g1^56*t^8.584 + (12*t^8.598)/g1^18 + 21*g1^4*t^8.756 + 40*g1^26*t^8.914 - t^4.622/(g1^2*y) - t^6.732/(g1^12*y) - (2*g1^10*t^6.89)/y + t^7.22/(g1^20*y) + (8*g1^2*t^7.378)/y + (6*g1^24*t^7.536)/y + (2*t^7.866)/(g1^6*y) + (4*g1^16*t^8.024)/y + (6*t^8.354)/(g1^14*y) + (11*g1^8*t^8.512)/y + (4*g1^30*t^8.67)/y + t^8.842/(g1^22*y) - (t^4.622*y)/g1^2 - (t^6.732*y)/g1^12 - 2*g1^10*t^6.89*y + (t^7.22*y)/g1^20 + 8*g1^2*t^7.378*y + 6*g1^24*t^7.536*y + (2*t^7.866*y)/g1^6 + 4*g1^16*t^8.024*y + (6*t^8.354*y)/g1^14 + 11*g1^8*t^8.512*y + 4*g1^30*t^8.67*y + (t^8.842*y)/g1^22

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
2422	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$	0.637	0.8543	0.7456	[M:[0.9203, 1.2391, 0.7609, 0.7609, 0.6992, 0.7609, 1.0797], q:[0.7301, 0.3496], qb:[0.3496, 0.4113], phi:[0.5398]]	2*t^2.098 + 4*t^2.283 + 3*t^3.239 + t^3.424 + t^3.717 + t^3.902 + t^4.087 + 3*t^4.195 + 8*t^4.38 + 10*t^4.565 + 6*t^5.337 + 13*t^5.522 + 4*t^5.707 - t^6. - t^4.62/y - t^4.62*y	detail
2421	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.6573	0.8878	0.7404	[M:[0.9247, 1.2259, 0.7741, 0.7741, 0.6882, 0.7741, 0.8388], q:[0.7312, 0.3441], qb:[0.3441, 0.43], phi:[0.5376]]	2*t^2.065 + 4*t^2.322 + t^2.516 + t^2.774 + 2*t^3.226 + t^3.678 + t^3.935 + 3*t^4.129 + t^4.193 + 8*t^4.387 + 2*t^4.581 + 10*t^4.645 + 6*t^4.839 + t^5.033 + 4*t^5.097 + 5*t^5.291 + 8*t^5.548 + 2*t^5.742 + t^6. - t^4.613/y - t^4.613*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
871	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$	0.6257	0.8329	0.7513	[M:[0.9213, 1.2362, 0.7638, 0.7638, 0.6968], q:[0.7303, 0.3484], qb:[0.3484, 0.4154], phi:[0.5394]]	2*t^2.091 + 3*t^2.291 + t^2.764 + 2*t^3.236 + t^3.437 + 2*t^3.709 + t^3.909 + t^4.11 + 3*t^4.181 + 6*t^4.382 + 6*t^4.583 + 2*t^4.854 + 3*t^5.055 + 4*t^5.327 + 8*t^5.528 + 3*t^5.728 + 2*t^5.799 + 3*t^6. - t^4.618/y - t^4.618*y	detail