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
2648	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$	0.6916	0.8693	0.7956	[M:[1.0001, 0.752, 0.909, 0.843, 1.157, 1.124, 0.719, 0.843], q:[0.624, 0.376], qb:[0.467, 0.781], phi:[0.438]]	[M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [0, 8], [-1, 5], [1, -1]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{8}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$	${}M_{1}^{2}$	-2	t^2.157 + t^2.256 + 2*t^2.529 + t^2.727 + t^3. + t^3.372 + t^3.57 + t^4.116 + t^4.215 + 2*t^4.314 + t^4.413 + t^4.512 + t^4.587 + 2*t^4.686 + 2*t^4.785 + t^4.884 + t^4.983 + 4*t^5.058 + t^5.157 + 2*t^5.256 + t^5.454 + 2*t^5.529 + t^5.628 + t^5.727 + t^5.826 + 2*t^5.901 - 2*t^6. + 2*t^6.099 + t^6.297 + 2*t^6.372 + t^6.471 + 2*t^6.57 + 2*t^6.645 + t^6.669 + 2*t^6.744 + t^6.768 + 3*t^6.843 + 2*t^6.942 + 3*t^7.041 + 2*t^7.116 + 2*t^7.14 + 3*t^7.215 + t^7.239 + 4*t^7.314 + 2*t^7.413 + 2*t^7.512 + 5*t^7.587 + t^7.611 + 2*t^7.686 + t^7.71 + 3*t^7.785 + 3*t^7.884 + 2*t^7.983 + t^8.058 + t^8.082 - t^8.157 + t^8.181 + t^8.233 - t^8.256 + 2*t^8.355 + 3*t^8.43 + t^8.454 - 4*t^8.529 + t^8.553 + 5*t^8.628 + t^8.703 - t^8.727 + 3*t^8.826 + 2*t^8.901 + t^8.925 - t^4.314/y - t^6.471/y - t^6.57/y - t^6.843/y - t^7.041/y + t^7.413/y + t^7.587/y + (2*t^7.686)/y + (3*t^7.785)/y + t^7.884/y + t^7.983/y + (2*t^8.058)/y + (2*t^8.157)/y + (3*t^8.256)/y + (3*t^8.529)/y + t^8.727/y + (2*t^8.901)/y - t^4.314*y - t^6.471*y - t^6.57*y - t^6.843*y - t^7.041*y + t^7.413*y + t^7.587*y + 2*t^7.686*y + 3*t^7.785*y + t^7.884*y + t^7.983*y + 2*t^8.058*y + 2*t^8.157*y + 3*t^8.256*y + 3*t^8.529*y + t^8.727*y + 2*t^8.901*y	(g2^5*t^2.157)/g1 + t^2.256/(g1^2*g2^2) + (2*g1*t^2.529)/g2 + t^2.727/(g1*g2^15) + (g1^2*t^3.)/g2^14 + g2^8*t^3.372 + t^3.57/(g1^2*g2^6) + (g1^4*t^4.116)/g2^4 + (g2^17*t^4.215)/g1 + (2*g2^10*t^4.314)/g1^2 + (g2^3*t^4.413)/g1^3 + t^4.512/(g1^4*g2^4) + g1*g2^11*t^4.587 + 2*g2^4*t^4.686 + (2*t^4.785)/(g1*g2^3) + t^4.884/(g1^2*g2^10) + t^4.983/(g1^3*g2^17) + (3*g1^2*t^5.058)/g2^2 + (g2^26*t^5.058)/g1^2 + (g1*t^5.157)/g2^9 + (2*t^5.256)/g2^16 + t^5.454/(g1^2*g2^30) + (g1^3*t^5.529)/g2^15 + (g2^13*t^5.529)/g1 + (g2^6*t^5.628)/g1^2 + (g1*t^5.727)/g2^29 + t^5.826/(g1^4*g2^8) + 2*g1*g2^7*t^5.901 - 3*t^6. + (g1^4*t^6.)/g2^28 + (2*t^6.099)/(g1*g2^7) + t^6.297/(g1^3*g2^21) + (g1^2*t^6.372)/g2^6 + (g2^22*t^6.372)/g1^2 - (g1*t^6.471)/g2^13 + (2*g2^15*t^6.471)/g1^3 + (2*g2^8*t^6.57)/g1^4 + (2*g1^5*t^6.645)/g2^5 + (g2*t^6.669)/g1^5 + 2*g2^16*t^6.744 + t^6.768/(g1^6*g2^6) + (3*g2^9*t^6.843)/g1 + (2*g2^2*t^6.942)/g1^2 + (3*t^7.041)/(g1^3*g2^5) + (g1^6*t^7.116)/g2^18 + g1^2*g2^10*t^7.116 + (2*t^7.14)/(g1^4*g2^12) + 2*g1*g2^3*t^7.215 + (g2^31*t^7.215)/g1^3 + t^7.239/(g1^5*g2^19) + (3*t^7.314)/g2^4 + (g2^24*t^7.314)/g1^4 + (2*t^7.413)/(g1*g2^11) + (2*t^7.512)/(g1^2*g2^18) + (3*g1^3*t^7.587)/g2^3 + (2*g2^25*t^7.587)/g1 + t^7.611/(g1^3*g2^25) + (g1^2*t^7.686)/g2^10 + (g2^18*t^7.686)/g1^2 + t^7.71/(g1^4*g2^32) + (2*g1*t^7.785)/g2^17 + (g2^11*t^7.785)/g1^3 + t^7.884/g2^24 + (2*g2^4*t^7.884)/g1^4 + (2*t^7.983)/(g1*g2^31) + (g1^4*t^8.058)/g2^16 + t^8.082/(g1^6*g2^10) + (g1^3*t^8.157)/g2^23 - (2*g2^5*t^8.157)/g1 + t^8.181/(g1^3*g2^45) + (g1^8*t^8.233)/g2^8 + (2*g1^2*t^8.256)/g2^30 - (3*t^8.256)/(g1^2*g2^2) + (2*t^8.355)/(g1^3*g2^9) + 2*g1^2*g2^6*t^8.43 + (g2^34*t^8.43)/g1^2 + t^8.454/g2^44 + (g1^5*t^8.529)/g2^29 - (6*g1*t^8.529)/g2 + (g2^27*t^8.529)/g1^3 + t^8.553/(g1^5*g2^23) + (2*t^8.628)/g2^8 + (3*g2^20*t^8.628)/g1^4 + g1^5*g2^7*t^8.703 + (g1^3*t^8.727)/g2^43 - (4*t^8.727)/(g1*g2^15) + (2*g2^13*t^8.727)/g1^5 + t^8.826/(g1^2*g2^22) + (2*g2^6*t^8.826)/g1^6 + (g1^3*t^8.901)/g2^7 + (g2^21*t^8.901)/g1 + t^8.925/(g1^7*g2) - t^4.314/(g2^4*y) - (g2*t^6.471)/(g1*y) - t^6.57/(g1^2*g2^6*y) - (g1*t^6.843)/(g2^5*y) - t^7.041/(g1*g2^19*y) - (g1^2*t^7.314)/(g2^18*y) + (g2^10*t^7.314)/(g1^2*y) + (g2^3*t^7.413)/(g1^3*y) + (g1*g2^11*t^7.587)/y + (2*g2^4*t^7.686)/y + (3*t^7.785)/(g1*g2^3*y) + t^7.884/(g1^2*g2^10*y) + t^7.983/(g1^3*g2^17*y) + (2*g1^2*t^8.058)/(g2^2*y) + (2*g1*t^8.157)/(g2^9*y) + (3*t^8.256)/(g2^16*y) + (2*g1^3*t^8.529)/(g2^15*y) + (g2^13*t^8.529)/(g1*y) + (g1*t^8.727)/(g2^29*y) + (2*g1*g2^7*t^8.901)/y - (t^4.314*y)/g2^4 - (g2*t^6.471*y)/g1 - (t^6.57*y)/(g1^2*g2^6) - (g1*t^6.843*y)/g2^5 - (t^7.041*y)/(g1*g2^19) - (g1^2*t^7.314*y)/g2^18 + (g2^10*t^7.314*y)/g1^2 + (g2^3*t^7.413*y)/g1^3 + g1*g2^11*t^7.587*y + 2*g2^4*t^7.686*y + (3*t^7.785*y)/(g1*g2^3) + (t^7.884*y)/(g1^2*g2^10) + (t^7.983*y)/(g1^3*g2^17) + (2*g1^2*t^8.058*y)/g2^2 + (2*g1*t^8.157*y)/g2^9 + (3*t^8.256*y)/g2^16 + (2*g1^3*t^8.529*y)/g2^15 + (g2^13*t^8.529*y)/g1 + (g1*t^8.727*y)/g2^29 + 2*g1*g2^7*t^8.901*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
4779	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}X_{1}$	0.6591	0.8181	0.8057	[X:[1.3333], M:[1.1231, 0.7025, 0.9486, 0.8769, 1.1231, 1.0872, 0.6667, 0.8769], q:[0.5257, 0.3512], qb:[0.5257, 0.7718], phi:[0.4564]]	t^2.107 + 2*t^2.631 + t^2.846 + t^3.262 + t^3.369 + t^3.477 + t^3.893 + 2*t^4. + t^4.215 + 3*t^4.523 + 2*t^4.738 + t^4.953 + 3*t^5.262 + t^5.369 + t^5.477 + t^5.584 + t^5.692 + 2*t^5.893 - 2*t^6. - t^4.369/y - t^4.369*y	detail
4783	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{8}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$	0.6906	0.8676	0.796	[M:[0.994, 0.7784, 0.9401, 0.8323, 1.1677, 1.1138, 0.7246, 0.8323], q:[0.6168, 0.3892], qb:[0.4431, 0.7784], phi:[0.4431]]	t^2.174 + t^2.335 + 2*t^2.497 + t^2.82 + t^2.982 + t^3.341 + t^3.665 + t^3.988 + t^4.186 + 2*t^4.347 + 2*t^4.509 + 3*t^4.671 + 2*t^4.832 + 4*t^4.994 + t^5.03 + 2*t^5.156 + 2*t^5.317 + t^5.479 + t^5.515 + t^5.641 + t^5.677 + t^5.802 + 2*t^5.838 + t^5.964 - 2*t^6. - t^4.329/y - t^4.329*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
1546	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$	0.6781	0.8467	0.8009	[M:[1.011, 0.7404, 0.9027, 0.8487, 1.1513, 1.1243, 0.7134], q:[0.6188, 0.3702], qb:[0.4785, 0.7811], phi:[0.4379]]	t^2.14 + t^2.221 + t^2.546 + t^2.708 + t^3.033 + t^3.373 + t^3.454 + t^3.535 + t^4.185 + t^4.2 + 2*t^4.281 + t^4.362 + t^4.443 + t^4.605 + t^4.686 + t^4.767 + t^4.848 + t^4.929 + t^5.026 + t^5.092 + t^5.173 + t^5.254 + t^5.416 + t^5.513 + 2*t^5.594 + t^5.675 + t^5.741 + t^5.756 + t^5.919 - 2*t^6. - t^4.314/y - t^4.314*y	detail